<![CDATA[{"pages":{"search":{"query":"Alex Maths Engineering","originalQuery":"Alex Maths Engineering","serpid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","parentReqid":"","serpItems":[{"id":"9489998559989784573-0-0","type":"videoSnippet","props":{"videoId":"9489998559989784573"},"curPage":0},{"id":"18445844568789809864-0-1","type":"videoSnippet","props":{"videoId":"18445844568789809864"},"curPage":0},{"id":"13719045590235745589-0-2","type":"videoSnippet","props":{"videoId":"13719045590235745589"},"curPage":0},{"id":"15059781295272981419-0-3","type":"videoSnippet","props":{"videoId":"15059781295272981419"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dEFsZXggTWF0aHMgRW5naW5lZXJpbmcK","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","ui":"desktop","yuid":"4972912701769409159"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"2601011227379222978-0-5","type":"videoSnippet","props":{"videoId":"2601011227379222978"},"curPage":0},{"id":"6434818532153224123-0-6","type":"videoSnippet","props":{"videoId":"6434818532153224123"},"curPage":0},{"id":"17467014415368470948-0-7","type":"videoSnippet","props":{"videoId":"17467014415368470948"},"curPage":0},{"id":"5062930527980144230-0-8","type":"videoSnippet","props":{"videoId":"5062930527980144230"},"curPage":0},{"id":"10632523280972265974-0-9","type":"videoSnippet","props":{"videoId":"10632523280972265974"},"curPage":0},{"id":"2721010177361228548-0-10","type":"videoSnippet","props":{"videoId":"2721010177361228548"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dEFsZXggTWF0aHMgRW5naW5lZXJpbmcK","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","ui":"desktop","yuid":"4972912701769409159"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"10149791161489536342-0-12","type":"videoSnippet","props":{"videoId":"10149791161489536342"},"curPage":0},{"id":"14192361823800020771-0-13","type":"videoSnippet","props":{"videoId":"14192361823800020771"},"curPage":0},{"id":"7782165745436700453-0-14","type":"videoSnippet","props":{"videoId":"7782165745436700453"},"curPage":0},{"id":"5890835218550184645-0-15","type":"videoSnippet","props":{"videoId":"5890835218550184645"},"curPage":0},{"id":"9742110011250459200-0-16","type":"videoSnippet","props":{"videoId":"9742110011250459200"},"curPage":0},{"id":"3818799195702633663-0-17","type":"videoSnippet","props":{"videoId":"3818799195702633663"},"curPage":0},{"id":"4240225065378560561-0-18","type":"videoSnippet","props":{"videoId":"4240225065378560561"},"curPage":0},{"id":"9734702389393103427-0-19","type":"videoSnippet","props":{"videoId":"9734702389393103427"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dEFsZXggTWF0aHMgRW5naW5lZXJpbmcK","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","ui":"desktop","yuid":"4972912701769409159"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DAlex%2BMaths%2BEngineering"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"9281552504481272817132","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1471992,0,36;1466868,0,72;1405820,0,96;1457617,0,63;1433081,0,35;1450255,0,3;1460955,0,64;1464561,0,32;1460214,0,89;1459323,0,14;1461638,0,96;50738,0,60;124073,0,39;123843,0,64;1464524,0,85;1470249,0,18;1466295,0,53;1463528,0,11;1472531,0,68;1463531,0,87;1452051,0,66;1471919,0,46;1470515,0,85;1404017,0,14;1471176,0,21;1469407,0,94;1470415,0,34;45971,0,12;45974,0,53;1462741,0,65;90498,0,19;151171,0,20;1269693,0,55;1281084,0,66;287509,0,24;1447467,0,19;1005534,0,81;1466397,0,82;1467129,0,25"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DAlex%2BMaths%2BEngineering","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=Alex+Maths+Engineering","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=Alex+Maths+Engineering","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Alex Maths Engineering: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Alex Maths Engineering\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Alex Maths Engineering — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"ycf2a98839e42bf7bca1b575d5b79d729","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1471992,1466868,1405820,1457617,1433081,1450255,1460955,1464561,1460214,1459323,1461638,50738,124073,123843,1464524,1470249,1466295,1463528,1472531,1463531,1452051,1471919,1470515,1404017,1471176,1469407,1470415,45971,45974,1462741,90498,151171,1269693,1281084,287509,1447467,1005534,1466397,1467129","queryText":"Alex Maths Engineering","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"4972912701769409159","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769409175","tz":"America/Louisville","to_iso":"2026-01-26T01:32:55-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1471992,1466868,1405820,1457617,1433081,1450255,1460955,1464561,1460214,1459323,1461638,50738,124073,123843,1464524,1470249,1466295,1463528,1472531,1463531,1452051,1471919,1470515,1404017,1471176,1469407,1470415,45971,45974,1462741,90498,151171,1269693,1281084,287509,1447467,1005534,1466397,1467129","queryText":"Alex Maths Engineering","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"4972912701769409159","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"9281552504481272817132","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":149,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"4972912701769409159","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1753.0__c83439c9643899cbfcbabfd82f198d10e202213a","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"9489998559989784573":{"videoId":"9489998559989784573","docid":"34-10-9-ZD00A6AEEC59DCE1E","description":"#engineeringmathsm2#vectorcalculus UNIT II Vector Calculus Gradient and directional derivative – Divergence and curl – Vector identities – Irrotational and Solenoidal vector fields – Line integral...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2089623/d2404f44e79737545ef622fcd8823019/564x318_1"},"target":"_self","position":"0","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvFL19jMgHes","linkTemplate":"/video/preview/9489998559989784573?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Divergence and curl Problem 3 Vector Calculus Engineering Mathematics","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vFL19jMgHes\",\"src\":\"serp\",\"rvb\":\"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_T6CgcK-wIaAQ8K9QICAOwF_PcFAAAA9O4K-_4AAAAGEAT2CgAAAP3__AEE_gAACfz0_fcAAAAJAgAA8gEAABkH9Pn-AQAA_O39DwT_AAAY_gcDAAAAAPcK_wn8AAAA-wgH8wEAAAAPEgII_wAAACAALds2xDs4E0AJSE5QAipzEAAaYBgWACQNAezlDBz25ffnCQv_De7q_fMAC-QADhv26B4czuLtFwAhyQH0yQAAABPR6QTtAM5A5dj6DBEe--T0-fQifwgMJPwMLwPtBAoJIuQE8uoDGQDWCBQLFt7CGAcBHSAALVZgcTs4E0AJSG9QAiqvBhAMGqAGAAAAQgAANMIAABxCAAAgwQAAwEEAANjBAABAQQAAUMIAAKDBAACowQAAFEIAAFDBAABIwgAAhsIAAAhCAACAwQAAgD8AAKBBAAAQwgAAYMIAAKDBAAAAwAAA-MEAANBBAACSQgAANMIAAEzCAACswgAAOEIAAHBCAABwwQAAikIAADzCAACgQAAAcMIAAFDBAAAAAAAAKEIAAOBAAADgQQAA4EEAACRCAAAAQAAAoEEAANhBAABcwgAAlMIAAMBAAACiQgAAFMIAAATCAAAcwgAAEMIAAEBCAAAoQgAACMIAAMTCAAAkQgAASMIAAPBBAADgQQAAqMEAAGDCAACmwgAA8EEAAKDBAABAQAAAqMEAAABAAACAwQAAKEIAABBCAABAwgAAQEIAAMBBAAAcwgAAEEEAAFDCAAC4QQAAcMEAALDBAAAgQQAA6EEAAIhCAADQQQAAGEIAAODBAAAwQgAATEIAAIrCAAAwQQAAhEIAALjBAACYwQAAEMIAAAzCAAA4QgAAiEEAAK5CAAAMwgAAbMIAAJpCAABgQQAAuMIAAIBAAAAAQAAAAEEAAKhBAABMwgAAmkIAAOhBAABAwAAAKEIAACzCAAAwQgAA-EEAAFDBAADAwAAABMIAACzCAACIwQAARMIAAKDAAAAAwAAAAEIAAFRCAAAAQAAAHMIAACTCAACMwgAAIMEAAODAAAAgQgAAVEIAAARCAAAswgAAgL8AAFBBAAAYwgAAfMIAAIhBAAAAQAAAHEIAAPDBAAD4QQAAQEAAAFzCAAAAwAAAwEEAAEDBAAA0QgAAQMEAACBCAABwwQAAyEEAAMhBAAAQQgAArMIAACzCAAC8QgAAeMIAAHBBAAAAQAAAQMAAAAjCAACIwQAAKEIAAHhCAABAQgAAQEEAAEzCAAC4QQAAQEAAAIBBAABAQQAAAEIAACBCAADYQQAAnEIAAABBAAAgQQAA0MEAAAjCAACAvwAA2EEAAFTCAACawgAAJEIAAADBAABgwQAAisIAADjCAAAgQQAAmMEAACxCAABAwQAAOMIAAEBAAABIwgAAeMIgADgTQAlIdVABKo8CEAAagAIAAK6-AABEPgAA6D0AALg9AAAQPQAAfD4AAAS-AAAtvwAAVL4AAKC8AADgPAAAgLsAAPg9AADoPQAAgDsAABS-AAB8PgAAqD0AAFw-AAANPwAAfz8AAOi9AACKPgAAiL0AABy-AACIvQAAcL0AADC9AACovQAAHD4AAEw-AADgvAAAcL0AAIC7AACIPQAAmD0AAAS-AAAkvgAAZL4AALK-AACKvgAAMD0AAOC8AABEvgAATL4AAOC8AAB0PgAATL4AAJq-AAAUvgAAML0AAMi9AABQPQAAJD4AAGy-AAAQvQAAQT8AALg9AADoPQAAJD4AAEC8AADovQAAUD0AADA9IAA4E0AJSHxQASqPAhABGoACAAAUvgAAUD0AAEA8AAAXvwAAUD0AAOg9AACoPQAA4DwAAKi9AABsPgAABL4AAAy-AACAOwAAJL4AAKA8AADgvAAAUL0AAC0_AAAwvQAApj4AAAw-AAAQvQAAcD0AACS-AADgPAAAcD0AAFC9AAC4PQAAmL0AADA9AACgPAAAuD0AABC9AACovQAAUD0AAPi9AACCPgAAjj4AAI6-AADYvQAARD4AABC9AAA8PgAABL4AAKA8AACoPQAAf78AAKA8AACIvQAAQLwAADA9AABQvQAA-D0AAIg9AAAcPgAAcD0AAKA8AADIvQAA4DwAAAQ-AAAQPQAA6L0AAHC9AAC4PSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=vFL19jMgHes","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9489998559989784573"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"18445844568789809864":{"videoId":"18445844568789809864","docid":"34-8-8-Z6BA30817EDEE4B78","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3912165/eb3e740b4f8914a0d0153ff9b36aa1a6/564x318_1"},"target":"_self","position":"1","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DQFLRk7bf6oM","linkTemplate":"/video/preview/18445844568789809864?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete and continuous random variables Problem 6 Engineering Mathematics","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=QFLRk7bf6oM\",\"src\":\"serp\",\"rvb\":\"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_--_z_AgDwBQwFEAP9ABAIAwv2AQEA9QD19AMC_wD4_AkLCQAAAPoC-_4GAAAAAPvyDfj-AAAGBP0BBAAAAB4ACf_6AAAAEwEJ_f4BAAAG-v__-wEAABADBxAAAAAA-xf8-QD_AAAIFgb-AAAAAAgJ-wMAAAAAIAAt0gzZOzgTQAlITlACKnMQABpgBAcANQ_96-ERJt2jC8UfOA_01DIK6P_91f_oQw_1HPTZxxL2_yYOJd2pAAAAH-q9EEYA7Wz-28Ud_hMOphD-AAt_GTD47Bv2DvryI_Up0FHWFCQiANH0Ih00EslPD94sIAAtn3QnOzgTQAlIb1ACKq8GEAwaoAYAACRCAADoQQAAwEEAAIhBAADQwQAAAMIAALBBAAAcwgAAAAAAAOjBAAAEQgAAMMEAACjCAAAQwgAAikIAALjBAAAQQQAAoMAAABDBAAAIwgAA4EAAAJDBAABowgAAgkIAALhCAACgwQAAHMIAAGTCAAA0QgAAAEIAAMjBAADgQAAASMIAAMBBAACGwgAA2EEAAOjBAACuQgAAoMEAAABAAAAwQQAAuEEAAABAAADAwQAA8EEAAGzCAAB8wgAAYMEAAMxCAACowQAA0MEAAOBAAADAQQAATEIAADxCAACQQQAAYMIAAAxCAABswgAAwEAAAHBCAAAAwgAAqMIAAMjBAAAgwQAA8EEAAARCAAAAQAAAwEAAADDBAACqQgAAqEEAABDCAACeQgAAqMEAACzCAAAoQgAANMIAAIC_AAAQQQAA2MEAAOhBAADgQAAA2EIAAGDCAAAcQgAAPMIAAMDBAACYQQAAaMIAAAAAAAAwQQAAIEEAAIrCAAAIwgAARMIAAABAAACAQQAAMEIAAPjBAADgwQAAmkIAAJpCAACewgAATMIAABDBAACgwQAAREIAAAzCAABAQgAA4EEAAMBAAACoQQAADMIAAOBBAAAAwQAAMMIAALDBAAB0wgAACMIAAMBAAAAswgAAHEIAAPBBAABYQgAAkEIAAAxCAACIwgAA-MEAABjCAAAAwAAA2MEAAMBAAACsQgAA8MEAAADBAACgwAAAOEIAAJjCAABowgAA2MEAAFBBAACwQQAAKMIAAABBAADIQQAA-MEAAIDAAAAAwAAAwMAAAPhBAAA8QgAACEIAAOhBAAAEQgAA-EEAAFDBAADQwgAAMMIAAORCAACQwQAAiEEAAKhBAAAAQAAAwEAAACxCAAAoQgAAKEIAAKhBAAAAQAAANMIAABBBAAAgQQAAXEIAANBBAAAAQAAAwMAAAABCAACSQgAAkEEAAPhBAACowQAAAEEAACDBAAA8QgAAVMIAADzCAACeQgAA6MEAALhBAADAwQAAoEAAAEBAAABAQQAA8EEAABBCAAAQwQAAgMAAAEzCAAAswiAAOBNACUh1UAEqjwIQABqAAgAAND4AAFS-AACCPgAAmD0AAJK-AABMPgAARL4AAAO_AAAUvgAAiD0AAFA9AADovQAALD4AAEw-AACWvgAAgDsAAPo-AABwPQAAVD4AAAM_AAB_PwAAuL0AADA9AACYPQAAbL4AABS-AAAkPgAAyL0AADS-AACgvAAA-D0AAEC8AACYvQAABD4AAIA7AABUPgAAmD0AAHC9AACqvgAAqr4AAHy-AABAvAAAUD0AAHA9AADIvQAAPL4AABQ-AABkvgAAQLwAAFC9AABQPQAAML0AAII-AAA8PgAAnr4AAIi9AAAxPwAADD4AAAS-AAAwPQAABL4AABC9AADIPQAAQLwgADgTQAlIfFABKo8CEAEagAIAAJi9AADIvQAAyL0AACW_AABAPAAAmD0AAJg9AAAwPQAALL4AAHQ-AADovQAAgDsAAHC9AADIvQAABD4AAIi9AACovQAAGT8AABy-AADyPgAABL4AAIC7AAAEvgAAJL4AAIg9AADovQAAcL0AAIi9AACAuwAAmD0AABC9AAAwPQAA6D0AAAS-AAAkPgAAML0AAFA9AACGPgAA-L0AAOg9AAAUPgAA-L0AAIi9AACIvQAAXL4AAMi9AAB_vwAAQDwAALi9AACovQAAgLsAAPi9AABcPgAAgDsAAEA8AADgPAAAgDsAABy-AABAvAAAoDwAABC9AADYPQAA4DwAALg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=QFLRk7bf6oM","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["18445844568789809864"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13719045590235745589":{"videoId":"13719045590235745589","docid":"34-5-11-Z31EE3783A006BB6A","description":"#Ma8151#engineeringmathematics Ma8151 Engineering Mathematics – I https://alexmathsonlineeducation.blog... https://alexmathsonlineeducation.blog... #engineeringmathematics1#...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3229597/5b764cf5a725204203445b9904fff9b3/564x318_1"},"target":"_self","position":"2","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dt8mUzXzcV8E","linkTemplate":"/video/preview/13719045590235745589?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Increasing & Decreasing Fuctions Concept Engineering Mathematics M1 Differntial Calculus","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=t8mUzXzcV8E\",\"src\":\"serp\",\"rvb\":\"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_wUAAAAU_gUJCQv9AxAIAwv2AQEA9vr7_f4D_wDz-ggCBAAAAAEM-v0FAAAAAf4DA_7-AQAQAff8BAAAABD69QH1AAAADw39AxL-AQH9_wIGBP8AAA0VCgEAAAAA_Ab4_Pn-AAH7AfwEAAAAAAn1CAMAAAAAIAAtAAfVOzgTQAlITlACKnMQABpgAQEAIQgABc0WPd3o5esZ9w0rygfsAP_13QALIwHfEhXWyQQO_zTbEfG9AAAAF_rvBPsA7Ffe4-EkEwAQst3aES5_8BndJQv83vjpI-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-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-L0AAIA7AADoPQAADL4AAFC9AACGPgAAyL0AABO_AAAMvgAA4LwAAEC8AAD4vQAAMD0AADQ-AACCvgAAUL0AAJo-AABAPAAAND4AANI-AAB_PwAABL4AABA9AACIvQAApr4AABS-AACAOwAAoDwAAJi9AADYPQAAJD4AACy-AAAMvgAA-L0AADA9AACAOwAAiD0AAOi9AAAUvgAAgr4AAHy-AAAwPQAA2D0AAAS-AACAOwAANL4AADQ-AAAsvgAAyL0AAFS-AACgPAAAuL0AAOg9AAA8PgAA2L0AAFC9AAAnPwAAUD0AAIC7AAAMPgAAML0AAOC8AACYPQAAML0gADgTQAlIfFABKo8CEAEagAIAAMi9AACYPQAAQDwAAB2_AABEvgAAUD0AAM4-AABAvAAAqL0AAMg9AABwvQAAmr4AAKC8AABEvgAAMD0AAEC8AAAwPQAACz8AABy-AACSPgAADD4AADC9AAA8vgAA-L0AALg9AADovQAALL4AABA9AAAEvgAAoDwAADA9AADoPQAADL4AAOi9AAAcPgAAML0AAII-AAAUPgAAkr4AAFA9AABEPgAAiL0AAHA9AACgPAAAQLwAAIA7AAB_vwAA2D0AANi9AADIvQAAZD4AAEA8AACIPQAA4LwAAJg9AADIPQAAEL0AAIg9AACAuwAAmD0AABA9AACIvQAAgDsAAPg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=t8mUzXzcV8E","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13719045590235745589"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15059781295272981419":{"videoId":"15059781295272981419","docid":"34-11-5-ZC4925F98B74AFDF8","description":"#tnnewsyllabus Visit: / alexmathsengi. . for complete syllabus videos Alex Maths Engineering YouTube Channel https://alexmathsonlineeducation.blog... Engineering Mathematics M1 - Differential...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1771399/66cce440932ddf5f52ff9a79afac59bd/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/SY49BwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DyguigbLDSXY","linkTemplate":"/video/preview/15059781295272981419?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Engineering Mathematics M1 - Differential Calculus - Limit of a Function Part 2","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=yguigbLDSXY\",\"src\":\"serp\",\"rvb\":\"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-wAB_wD39vIOCAf8Ah31_Qf1AgIA9QD09AMC_wDy-ggCBAAAAAQTAf7_AAAA_gP_Eff-AQAK_PcFAwAAABP4Av73AAAADhr6Av0BAAD_-_v_A_8AAA4JAQUAAAAA_Ab4_Pn-AAH2Bv4KAAAAAAn1CAMAAAAAIAAt7d_OOzgTQAlITlACKoQCEAAa8AF_CAgB5O7OAeMWuwHUJ-IBwCEz__gf7wC9Bf0AuPbHAP4Y8wDo_QAAJxIEALUp-P8l69j_EMT2_yrXDv8Z3gAB3fQfASv38AFcBh0AJff4_8MPCwHf8Q_-F_HF_yo58_411hr-_gzsAe0DwgIP_j4B6A8zARnoB_8CowEH3wMLAfMK7PfzFfoH3t_5_AMLMv4c7hf_ARYC-uwT3P0MAwT-6toQADIS5QEs7wUH-Bb2_tHt9_f0BhEEAwkbA87f-Pvl4R7_7hkN9f3yEvgKDgbw1QfjCQUC8g0RCQj-7QT--xnl9fO_--oG9Q73Den-6wQgAC2NuxM7OBNACUhhUAIqzwcQABrAB3HMur7mrws6R-EhvFQ2TL2ZPC-9EbaOuqjhG77fFuw8h9tGPHqnIbwGZkW9zoahvDRNKL5ZLsA79AmPPImZDT7MP1-9652fuXoXL74IPDA9KZ_UvFexOL5HpX08pdQKPdz1Ej2RC868oAcQu6tNoj1U3B29CXYSvc_dqb0Dt2m9EayFPGwlNL5V7UO7A7IGOmmO7Ly35KK9JxHGPCAHuj2CkTe9iLKcvM9Jnz2FmZG8LqqHu6YQg70fACc9Mxv_vIXSsj1273I7FuiJPf1avb2CA1Y7155-vCkPYb1ANfs793bLu2NebDw7Dg09LU7rvGL0jD2eftC9vnZdu2O0Hr42Fnu7f2BYPOSG_z05dvU8jG-ePC5wubwExoo9X0Yxujtlrz2rOBs8WGB-vDGxGT6p9SM8O0iZPMrEvT2znUq8Oyn-O2g6ATwZ5C68cYE6PAItPb1uJIq9VoVhvIaYtj0KZIs9_K3Xu3qslL3IluU84TOIPCvqALxzbkk8qFKNOQZuFzw6gBS9k9E3PEVcpTxzuPa95AQ3PJXcPL088cG9Q-nmux-HILxQ-uc7CGaWu-kLAT6oIJo8KKU5OUE8XL3CGsK8U08PPOTI-bxpEau9yKIAvPutXb3EhCe9CviQOyhyUr10MDE9Pqn-u6ocibwrpgI-DuoNuZ-muzxR_LO9lwabO3gfjD0isXM9gHIIu61cJbqHMQk9GHKVu7crsjsjH2q9FhELuwqAkT3nsoe9glQFuhUsArwWBLW9OZ0KuveeoTs_EKq9OOzttwCYobxxu2G9FgysOCQfhbzqr9c8w4ZXuSrG-byIOyi9VnZMt90qo7xXPcC9kQYeOZLpcD0NYhE9FfY4uH0FST0Lf6O7qwijuBTn6L1zySK9It5DuYH94bzAKBy8NWqxN8iD4zx1DOM8vhzZtyLLnTxaUqS8HLUAOaOLkr0YQNe7cWu5OdpCZj0BR4c9E9EKNiZyQbwKMSe-lAPEOSnbdrzn7LM9J5-AN5So8jwQAtc8o0zOtiNhhDy6Z709JV93t7vUyD0DQDW92L57Nx2hoD00oF49A0nCuBmtQ70n4LI8Js6HOAwMD71xWvA8oYeeOP5cWT1zFoG9AjAGOA-XPL0OtYc9SD0IOPcBKD5wYd298We_uavfFr0N-x2-o7z-uB4qeDslBOu9I79nONpsob2N5rI9IXQJONWU5Dy-Nqa986NNuPlk5T3I2Zo9tUDWNqPt0rumfl48v4YHua0A17otl-09ykhoOOsWBr1JMoa8u4WfOCAAOBNACUhtUAEqcxAAGmAM6ABKACXwBu4L3_zd-BO72SisJeQU__AC_w8Z-QElNMTKEQEAMNMe3qQAAAAk6d8CDwD0ddbb_z8EHBfSnd46GG4FBC3p_hoJwLU29gfnHAMAFTsA7hK9Rj0GgTYSTzwgAC3BNxs7OBNACUhvUAIqrwYQDBqgBgAAgEAAAOBBAACAvwAAiMEAAOBAAADgQAAAmEEAAKDBAADQwQAAcMEAAHBBAACIwQAAZMIAAKhBAADGQgAAeMIAABxCAAAIwgAAYEEAAOjBAADowQAAjsIAABzCAABoQgAAiEIAAATCAAA0wgAAgsIAAKDAAAAcQgAAFMIAAOhBAAAYwgAAEEEAAODBAABAQAAAwEAAAP5CAACgQAAAyEEAADBCAAC4QQAAQMAAAKDBAACwQQAAaMIAAHjCAACAQQAABEIAAKDAAACAwgAAMMIAAMDAAADgQAAA4EEAAGBBAABkwgAAkEEAAMDBAACgwAAAMEIAAChCAAC8wgAA-MEAAKBAAACowQAAAAAAAEBAAAAYwgAA0MEAALBCAACwQQAAhMIAAHRCAADIwQAAaMIAADzCAAAcwgAAAMIAAMhBAADAwQAAaEIAABBBAACaQgAAyMEAADxCAACwwQAAHEIAAOBAAACEwgAAwMAAAFBCAAD4wQAATMIAAGDBAADgwQAAYEEAAGBBAAC2QgAAgEAAAFTCAAB8QgAAqEIAAK7CAABAwgAAgMAAADDCAADAQQAAbMIAAAhCAADAQAAAAEAAAIA_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-AAB8vgAAcD0AAMY-AACAOwAAKb8AAJ6-AADgPAAAgLsAAM6-AABcPgAAND4AAAS-AAAMvgAA1j4AAOA8AAC2PgAAGT8AAH8_AAB8vgAAuD0AAJg9AACavgAAmL0AAGw-AAAQvQAAEL0AAHQ-AACKPgAADL4AAHC9AAAEvgAAND4AABA9AAAsvgAAuL0AACS-AAAwvQAAtr4AABA9AAAkPgAAfL4AAFC9AAD4vQAAfD4AAHS-AABsvgAAVL4AAES-AADovQAAgj4AAIo-AACoPQAAoLwAAD8_AAAkPgAA4DwAAGQ-AACAuwAAPD4AAKA8AACIPSAAOBNACUh8UAEqjwIQARqAAgAApr4AAPg9AAAcvgAAK78AAHy-AACgPAAAyj4AAKA8AAC4PQAAyD0AANi9AAAcvgAAuL0AAJg9AADgvAAAEL0AALi9AADuPgAAfL4AAOI-AABEPgAAHL4AAAS-AABMvgAAED0AAJ6-AAAcvgAAED0AAEC8AACAOwAAMD0AAOg9AAAMvgAAqL0AAHQ-AAAUvgAAnj4AAEw-AAA8vgAA6D0AAGw-AAAkvgAAmD0AAHC9AABQPQAAuD0AAH-_AAB8PgAAmL0AAJi9AAA0PgAAuD0AAPg9AABUPgAAoLwAADw-AACYvQAAEL0AAEQ-AADgPAAAQLwAAEy-AACgvAAAHD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=yguigbLDSXY","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":716,"cratio":1.7877,"dups":["15059781295272981419"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"92935397"},"2601011227379222978":{"videoId":"2601011227379222978","docid":"34-5-8-Z5DB6FBF79EC669A4","description":"#Ma8151#engineeringmathematics Ma8151 Engineering Mathematics – I https://alexmathsonlineeducation.blog... Definite Integrals Problem Engineering Mathematics Engineering Mathematics Integral...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2399007/907110ab253a14bf0b2a44dca24c0a76/564x318_1"},"target":"_self","position":"5","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D892DXRK3qT4","linkTemplate":"/video/preview/2601011227379222978?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Definite Integrals Problem 1 Engineering Mathematics","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=892DXRK3qT4\",\"src\":\"serp\",\"rvb\":\"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_BPP5CwgL-wMlDAT48gUFAOAR_PcJ_QIA5ekMAAX-AAD8HvsGAwAAAAL-_fTw_QEADPz1BgQAAAAa7PX1_AAAABEe-QP9AQAA8_kH9wMAAAAS_gIK_wAAAPMJCgT__wAABgn-_gEAAAAN_gf9AAEAACAALaljrzs4E0AJSE5QAipzEAAaYPoRACoMBNTb9R3v8efoDA7xCNgE-CcA7PIA_vT13go42cwDEv8nxQLwwwAAAA70BwPEAORN7OS_Dwwm-vXJBwcRfw4M__bxBfDF5Q7jLdgs9vjl_gD2Ce0LKhjcKS0CLSAALZ0BVzs4E0AJSG9QAiqvBhAMGqAGAAAcQgAAGMIAABhCAACgwAAAAMEAAIjBAABwQQAAQMIAAADAAACAPwAAwEEAAKDAAABwwgAAjsIAAEBCAACYwQAAwMEAAIA_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-AACWvgAAoDwAADA9AAA8vgAAnj4AAOC8AAAbvwAAjr4AAFA9AAAsPgAAVL4AAEw-AAB0PgAAHL4AADy-AAC6PgAA4DwAAFQ-AAAfPwAAfz8AADA9AACIPQAAcL0AAKa-AACgPAAAZD4AADC9AADIvQAALD4AAJY-AABsvgAALL4AAIo-AAB0PgAAyD0AALg9AACAuwAARL4AAK6-AABUvgAAHL4AAEQ-AAAMvgAAEL0AAKC8AABsPgAAur4AAGS-AACevgAAcL0AABS-AABkPgAAPD4AAGy-AABwvQAAZz8AABC9AAAQPQAAbD4AAIi9AAC4PQAAmD0AALq-IAA4E0AJSHxQASqPAhABGoACAACIvQAA6D0AAHC9AAArvwAAJL4AABA9AACCPgAAUL0AAKA8AACCPgAAUL0AAOi9AACYvQAA2L0AANg9AADgvAAA4DwAABM_AADgPAAA6j4AAEA8AAAcvgAA4LwAAAS-AABQvQAAQDwAABS-AABAPAAAgDsAAEC8AABQvQAAUD0AANg9AAAMvgAA2D0AADA9AAA0PgAAND4AAMi9AACAuwAATD4AAIg9AABwPQAA6L0AADC9AABEPgAAf78AAKC8AAAQvQAAEL0AAMg9AAAwvQAA6D0AAOg9AADgvAAA6D0AAKC8AABsvgAAMD0AADA9AADgPAAA-L0AANi9AABcPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=892DXRK3qT4","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["2601011227379222978"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6434818532153224123":{"videoId":"6434818532153224123","docid":"34-11-13-ZBAC3311B47BC9BAE","description":"#Ma8151#engineeringmathematics Ma8151 Engineering Mathematics – I https://alexmathsonlineeducation.blog... https://alexmathsonlineeducation.blog... #engineeringmathematics1#...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3981247/c690cbd33c61514cdd9bbbf5eb19d8d9/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/4jAzeAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D-2r4e1W_NQU","linkTemplate":"/video/preview/6434818532153224123?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Jacobians Problem 3 Functions OF Several Variables Engineering Mathematics","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-2r4e1W_NQU\",\"src\":\"serp\",\"rvb\":\"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_0A-wMDDwsJ-gIBCf4I9_7-APUA9PQDAv8A6PwRBQUAAAANBfsDAgAAAPz4Bwz__gAAE__vCAIAAAAW-BD59wAAABYG_wD-AQAA9vkGDwT_AAAQBAcQAAAAAP4MCQT6_wAA_hAFAQAAAAAG_Q0BAAAAACAALWf5zTs4E0AJSE5QAiqEAhAAGvABf-whAern5QLYBMoA_C4BAaksI__-DuIAwCHzAOMA7AH-F_QA6P4AAPZF-gDGQfQAVQLe_vvt-AAsvQwCCvoEALkHDwFUBef-QgIW_wT5Gv6h8e8A2eX4_xbyx_8eLOT_B9Mb_hcb5v4d_OIAFgMdAfgBJQYrEhoCB9HcA8r5-QcB_e7-8xT7BgMCBvoK8BoHCe0UBRsXJQAJLucADxcHBe0AB_c_Bt8BA-0LBOrq9gW38Pj-__YZBC8UDQLl1fL-zeUUA7kOCv36BQkAAfgV9ecn7QgHCdwLGuMAAhXx_P0W2Prz4RwHDf4A6QcKA-75IAAtVOkYOzgTQAlIYVACKnMQABpgKPcALxoo9uPc7OD35ODf4s0Y30cKE__q1__sSSwBTQfAtBsP_w7iG9ufAAAAEL_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-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-AAA8PgAABL4AAOA8AACOPgAAyr4AADm_AADWvgAAQDwAAKg9AACSvgAAVD4AAIo-AADgvAAAuL0AAHw-AACAuwAAoj4AALY-AAB_PwAAbD4AAKo-AABEvgAAgr4AAAy-AAD4PQAA2L0AADS-AADovQAApj4AAFC9AABwPQAAgDsAANg9AAC4PQAAuD0AABA9AAB8vgAATL4AAGS-AAAsPgAABD4AAAy-AAAQvQAAcD0AAAQ-AABkvgAAoDwAAKK-AAAQvQAArr4AAHw-AAC4PQAA-L0AAHC9AABLPwAAUD0AAKi9AADoPQAAUD0AAIg9AABQPQAAEL0gADgTQAlIfFABKo8CEAEagAIAAIi9AABQvQAAUD0AACe_AADIvQAAMD0AABQ-AADgPAAARL4AAEw-AADgvAAAPL4AABA9AABcvgAA-D0AAKC8AACIPQAAMz8AABw-AACyPgAA-D0AAMg9AAAQvQAAqL0AAFC9AADYvQAAEL0AAIg9AACAuwAAQDwAAOA8AAAwPQAAiD0AAGS-AADoPQAAQDwAAI4-AABkPgAAnr4AABA9AADYPQAA4LwAAKA8AABQvQAAmD0AAGQ-AAB_vwAAqL0AAIi9AAD4vQAADD4AAOi9AAD4PQAAML0AAMg9AAC4PQAA4DwAABC9AAAUPgAAUD0AAOg9AABAPAAA-L0AALg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=-2r4e1W_NQU","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":716,"cratio":1.7877,"dups":["6434818532153224123"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1488969689"},"17467014415368470948":{"videoId":"17467014415368470948","docid":"34-10-8-ZB9AA354D225373C6","description":"#engineeringmathsm2#vectorcalculus UNIT II Vector Calculus Gradient and directional derivative – Divergence and curl – Vector identities – Irrotational and Solenoidal vector fields – Line integral...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2981098/f9a608114fdc1aa05a4593866ca702a5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/XHwargEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrefBl-c6tWQ","linkTemplate":"/video/preview/17467014415368470948?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Divergence and curl Problem 2 Vector Calculus Engineering Mathematics","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=refBl-c6tWQ\",\"src\":\"serp\",\"rvb\":\"EqoDChM5NDg5OTk4NTU5OTg5Nzg0NTczChQxODQ0NTg0NDU2ODc4OTgwOTg2NAoUMTM3MTkwNDU1OTAyMzU3NDU1ODkKFDE1MDU5NzgxMjk1MjcyOTgxNDE5ChMyNjAxMDExMjI3Mzc5MjIyOTc4ChM2NDM0ODE4NTMyMTUzMjI0MTIzChQxNzQ2NzAxNDQxNTM2ODQ3MDk0OAoTNTA2MjkzMDUyNzk4MDE0NDIzMAoUMTA2MzI1MjMyODA5NzIyNjU5NzQKEzI3MjEwMTAxNzczNjEyMjg1NDgKFDEwMTQ5NzkxMTYxNDg5NTM2MzQyChQxNDE5MjM2MTgyMzgwMDAyMDc3MQoTNzc4MjE2NTc0NTQzNjcwMDQ1MwoTNTg5MDgzNTIxODU1MDE4NDY0NQoTOTc0MjExMDAxMTI1MDQ1OTIwMAoTMzgxODc5OTE5NTcwMjYzMzY2MwoTNDI0MDIyNTA2NTM3ODU2MDU2MQoTOTczNDcwMjM4OTM5MzEwMzQyNwoSODUwNDk4MTY3NTI3NjY0NDA5ChM1NjUzNzk0MDE4ODQyMjYwOTE4GhYKFDE3NDY3MDE0NDE1MzY4NDcwOTQ4WhQxNzQ2NzAxNDQxNTM2ODQ3MDk0OGqIFxIBMBgAIkUaMQAKKmhoc3h3YmFxZmt5bWJoeWNoaFVDZmlEY0FVSV9ReFY5V2ItWWFDal9adxICABIqEMIPDxoPPxO8A4IEJAGABCsqiwEQARp4gQgTDAsJ9QAD8_oKCAr7AxMJBA30AQEA6gX89wYAAADz7Qv7_QAAAAYRBPULAAAAAgX7A_39AQAG-PoM8AD_AAoCAADyAQAAGwf0-P4BAADv8AEB9AIAART3Dg4AAAAA-BH7E_8AAAAFBwH0AQAAABATAwj_AAAAIAAtiHu4OzgTQAlITlACKoQCEAAa8AF_6A4A3vfpAe4G1wDjC_QBxTIMAAkf5v--Bf0AvQPiAO0a9wDqCw0A3TAI_uM48gAy1tL_A8kV_zrJ5v8N1uIAvxsQADAE9wJNFRAB_w4A_s0FHP_58vsAKeHZAg86-f0K8hL6HBAR_wEt-AE5DCwA-AElBiv8JAECpgEH3OL_Awrm6v_yFRADBPz39evwGATt6QP5AvoO_c8x4QQSAvUH89cj_xwb4v0b-hoH-Bb2_sT7AwHw3v0EGz8UBgT97fvY8i0G0xP68u_6BgwY-hT15yftCAQB8gwa4wACDQr__i0B-PfmEAMH8C4AC-AI9e0gAC3RQhc7OBNACUhhUAIqzwcQABrAB7-6ur6AC9c8kf1ivCNeqLy0rLu8pB6_uzlk472y0gs7iQMtvc0-zz1KZ6u9V2erPO1V9TyzpT099oe9O8VVhT5UMG-9m38qvIc0Kr6eaag9tnJlvPGE3r2AH588t0EOPCtLdLyzvve8xyRIO30FGT7ulI69FfivPGJRLL1kUqg8qJZjvKm_vr3W8Wu7vQHmvDC5wb04zoe9ZLK0O-MiLTz9dX294omqvLSwsj1MJTK96eUguzgv7r0nEUE9uIwgvcdMAj5IDCw9XhwLPWQqs71BPjK8OsY6PCCm87waiOW8z2XqO-oHdT2_hMQ7sdUKvWkz8zweb_K91yXTOhR7WL5Ztwu9JUgbvK9duj2N64Q8lXf6PMKymL2V6fw8aDC8PCpwkj1lcX-8G_ZWvAuWKj1wlSe8qsw5POlrET1NGn68TPIOPJn7j72bRY49Z23JPEW0sr1x_yG-0z9SuxO8rD1wJNA9-vdPvLJSGDwCCQ892by_Oy-wXb2d0ge7NTIhPKKZJz1g-268Z87dO2BnhD35Eb-9PWsSPFd7OL0vh_29KqBmOnMPKT1sMMO8ts6JuyIbKD6xacq826XLOi8yojsUFPW8GPaLOzCrU7nuzpq8bZOGuxcJkr2u-Uy9TnAcvGYev72FLWw9ajFbu5c6iL3H8r49FWRMuOcH5Lxol4-9mbUYuxR5Ej0rWi89JPsUuzsGXz14txI9QcazuqCZEryVJqq9lidvu9cGXbxnSka8wAI5u03oBD3QK969KTmKOGregT1RZmi9AhaEOSX8PL0TCUu9yerIObzaQLxinGQ9sgz1uT9jUL3t7Xu9D8o4t90qo7xXPcC9kQYeOSUlmD32JZs82_SDOaJUbL3yX-A8C6CUOQYkRr3DV7W9CMhdNz8-abnJA5E8OcoCuf7ymT3M1Wq7r9XEOOzbC7y27Ji7H0UvutG6fL0ndTi8mDZVOWoDpj3Klhu9ySwGOCOsjD30bAa-z3ClOSn0sLx60JI90TlKt7vPVj17JZo91swTOLhHJbwXgtw9Jh3lNzZEMD3ChR28x7sduGJkTj1xISo9mhwauJ9JkbyA1TE--EDXuGLfCDyP_nc9bQ5rOIrLUT04JjA8r0-pOKjpDr0Z7x09Du6JOJJdGT7ZT1C9rMI_uavfFr0N-x2-o7z-uDKU7ry6-Lu9NhcmuB0-hDyRYdU9uPe8tzxGnjwlOQW9OM-8tSL_7D01KQU-835buPJrWjxt8xA9886KuGKCWr1bIGY9ZDW7N1NQy70shA88Li5MtyAAOBNACUhtUAEqcxAAGmAv9gAo_Q7l9v0O3urm9Pr11gnT_An1_xbWABIw-PIyPaLN8RwAFcwD2K4AAAAmytsL9QDOasnfEicBLfDCx9oNKn_4BkDE8EcJ4-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_AABQwgAAQMAAALBBAABQwQAAMEIAADDBAAAUQgAAUMEAAKBBAACwQQAAEEIAALLCAAAgwgAArkIAAIDCAACQQQAAgD8AAADBAAAMwgAAwMEAAChCAAB0QgAAREIAABBBAABUwgAAwEEAAIA_AACgQQAAQEEAAAhCAAAcQgAAuEEAAJxCAABAQAAAYEEAANjBAAAEwgAAgMAAAOhBAABQwgAAmsIAACxCAAAAwQAAiMEAAIzCAAAkwgAAMEEAAKDBAAAwQgAAQMEAAFjCAAAAQAAAXMIAAHjCIAA4E0AJSHVQASqPAhAAGoACAACKvgAAFD4AAMg9AAAQPQAAUL0AAKI-AACIvQAAN78AAES-AAAwPQAAyD0AAHC9AABQPQAAHD4AAKi9AAAsvgAAjj4AADA9AACyPgAAFz8AAH8_AAAsvgAAXD4AAIC7AAA8vgAAgDsAAIi9AADgvAAAmL0AAGw-AABEPgAAQLwAAMi9AACgvAAAHD4AAMg9AACIvQAAiL0AAES-AACavgAAbL4AABA9AACAOwAABL4AAHy-AABQvQAAhj4AAFS-AACOvgAA6L0AAIC7AADYvQAABD4AACw-AADIvQAAQLwAADM_AADIPQAAmD0AAAQ-AACgvAAAcL0AAJg9AAAEPiAAOBNACUh8UAEqjwIQARqAAgAABL4AADA9AACAOwAAG78AAJg9AADoPQAAyD0AAOA8AABwvQAAfD4AANi9AAC4vQAAgLsAAPi9AACAOwAAEL0AAFC9AAApPwAAcL0AALI-AADoPQAAiL0AAHA9AAA0vgAAcD0AAIg9AAAwvQAA2D0AAJi9AAC4PQAAoDwAALg9AACYvQAAEL0AAFA9AAAUvgAAlj4AAKI-AACKvgAA-L0AAII-AACYvQAAND4AAKi9AABAPAAAUD0AAH-_AAAwPQAAqL0AAIg9AAAQPQAAgLsAAPg9AACIPQAAyD0AAIg9AACAOwAABL4AAHA9AADYPQAAcD0AAKi9AACIvQAAqD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=refBl-c6tWQ","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":716,"cratio":1.7877,"dups":["17467014415368470948"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3215093145"},"5062930527980144230":{"videoId":"5062930527980144230","docid":"34-3-16-Z65B79D296061C348","description":"#Ma8151#engineeringmathematics Ma8151 Engineering Mathematics – I https://alexmathsonlineeducation.blog... Definite Integrals Problem Engineering Mathematics Engineering Mathematics Integral...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4458814/6c4044807d9c027620879f59ba2264af/564x318_1"},"target":"_self","position":"8","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DlpEE3EeY73g","linkTemplate":"/video/preview/5062930527980144230?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Definite Integrals Problem 2 Engineering Mathematics","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=lpEE3EeY73g\",\"src\":\"serp\",\"rvb\":\"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_BPgREQcN-AMwAPr58QYHAN4C7fUD_AIA5ekMAAX-AADyEQEMAwAAAPn78fjz_gEABQPpCAIAAAAa7PX1_AAAABEe-QP9AQAA8AUN7wIAAAAW8wMBAAAAAOgCCAMDAP8ABgn-_gEAAAAK_QUIAAAAACAALaljrzs4E0AJSE5QAipzEAAaYPsNAC0NANDb8h3s8ezfCAnzBdz7-CMA7ewAA_Lz1Ao41s0ADv8mw__ywgAAABDuCQTGAOFP6ua_GA0q9PPIBQcRfxIMBvftC_DP5RDfLNks8fXgAgD2C_AQKBfcMScKMCAALV1XUzs4E0AJSG9QAiqvBhAMGqAGAAAgQgAAJMIAABBCAACgwAAAgMAAAIjBAAAgQQAAPMIAAADAAABAwAAA6EEAAEDAAABgwgAAjsIAADRCAACQwQAAwMEAAIC_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_AABAwAAAAMIAANjBAABQwQAAuMEAADhCAAC4wQAAWMIAAFDBAAAcwgAAbMIgADgTQAlIdVABKo8CEAAagAIAACS-AACSvgAAcD0AAHA9AAAMvgAAoj4AADA9AAAtvwAAfL4AANg9AABcPgAAXL4AACQ-AACWPgAA6L0AACS-AADuPgAAUD0AAJ4-AAAhPwAAfz8AAOA8AACAuwAAoDwAALq-AAAQPQAAmD0AAAS-AAAQvQAAND4AAI4-AAB8vgAADL4AABQ-AAB0PgAAuD0AAFA9AAAEPgAATL4AAJK-AADovQAAcD0AAHA9AAC4vQAADL4AABC9AACOPgAA1r4AAMi9AABUvgAAQLwAAAS-AACOPgAALD4AACS-AACgvAAAWT8AAFA9AAAwvQAAmj4AAPi9AAAQPQAAmD0AADS-IAA4E0AJSHxQASqPAhABGoACAACovQAAyD0AAHC9AAAzvwAANL4AAKA8AACCPgAAiL0AADA9AAB8PgAA4LwAALi9AACovQAAqL0AALg9AABAvAAAgDsAABE_AACAOwAA4j4AAFA9AAAkvgAA4LwAABS-AAAwvQAAcD0AACS-AAAQPQAA4LwAAEA8AABQvQAAqD0AALg9AAAcvgAAyD0AAFA9AABcPgAAZD4AAOi9AACIvQAAdD4AAOA8AABQPQAA2L0AAIA7AAAsPgAAf78AAIC7AADgvAAAUL0AANg9AADgvAAA2D0AAOg9AABQvQAABD4AAOC8AABsvgAAuD0AABA9AACIPQAAFL4AAPi9AABsPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=lpEE3EeY73g","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["5062930527980144230"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10632523280972265974":{"videoId":"10632523280972265974","docid":"34-2-2-Z20867D6BDB25E6AE","description":"/ @alexmathsengineering #engineeringmaths1#Ma8251...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2111821/997ad73bce4de2b6217c8f0eace359e6/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/BcrJ_AEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWBo2YPxQHH0","linkTemplate":"/video/preview/10632523280972265974?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"How to Pass / Score Engineering Maths -1| How to Study Engineering Mathematics","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WBo2YPxQHH0\",\"src\":\"serp\",\"rvb\":\"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_vkEDAX9AQsA-_r3AAAA9gD19AMC_wD5-_8FBQAAAAUAAAEEAAAA-_3-B_7-AAANAvgPAgAAAAgH__f3AAAAEBD6-f4BAAD8-QEI-gEAAAUMCAAAAAAABAX_____AAD_BgX9AAAAAAz2AAUAAAAAIAAtHZbfOzgTQAlITlACKoQCEAAa8AF_AgMCqhcH_Ef4_AADHBABrPwL_zD25wC3DfoBzPnXAB8LAQDX-_X_AOYKABH6Df80-eoACPsAABv35_4Q_v0A0BQMAETu6wAVCAD_AwXeANr69v8T7_j_ByEEAQr_6wD3EQH_5QEA_Q__BwQr7wD_-9cIAgL4_wQU-vwBAhn_BAft8P8S5vb9__oDBNYJDAL96-0B1AwI-vvlAgYa9QH_CvsSAf4C7QX47PT-6_0B_PcU-gD-BhT85g8KCu4B9AUI7xEB8xIJ-AYG-AAVBwwE_PIJAucJ_wL7AfkDFuMABQ0L-wP4-QgG7g_9A9sD__4gAC2lQEw7OBNACUhhUAIqzwcQABrAB1SoIr8sLSO82nCYPGlw-z1T51E93VpLu07TRz7v2m88SYObPL6kIb4F7DS9-7QGPM0hKb6B_4K9DpMfPQovYT4XcbC8QdPGOR-8tr2m7YS8zkJxPOdWeL4CWsS8eFIRuqg1zT1zqcC8xWvDvC-1rzzzx1Q9d5G4vOw_obyBKom8DFGqPPGAur6e0yy9oTAFvOdhVz1GuCS9ZNdMPaXghD36R7o8QC2nuy9v6bwhqeg7YWaEvFHNmz3yKmY9USiVvPc_ED4XoG28n0nyO727Xz0WggG9TXZCvev2s73WviU8VdfGu25wPb1DNWo9zoDlO0h3tj0CeFU8vwrVPIjw1Dw4NGA9c5W0u5XcXD0GQjc9cLbIOcwfqD0sLum87Q-UPKsx17yipSE9uvCHOw05kTxc92C9hFZxvGM9ij0gIIQ8-UiKPG7lIL30oQ28Rr_sPHFxFrwjbik8R0jRO0diOLxtG4Y8JzKUO6fcjjqCKE69H95OvFduM7xt4iS9TcbMPOQal7o8cto7eomWPKtgDz1AYsW84vA4PPIHB7snaf68CdzfvJ2pJr19oiG9oD8hPOWPUz105648pjBKPAiIEz0yiU45pfCku4KrXD0vTZG8AcNyPOvqCDxgZi49M3UyvPxlQbyF7Nm7h0I6vP-wdjr6JPu7LFIXPLycbTycKHM9uHDiO_yFIz1sV408D2IIO72E0LpoC0O9xl-DO2GRW7tJZvU8OlufO1ZxmT28MGO8MCVKOvIilzo-7RA9WFFmu4Yjg73S_kc9wNDFOWYJvDy9cMY7FO-dOuz-rD18oJA9bEU0uW9iCL0NLJG8fOdYOajFvzubG7g8suI7OJD6xrz_4VO8ayWQuRFqS72Yw0k8sWWZOX9-ZL2jsTG9YN3jOhW0wbu05zK8eL-2uPrESzwtHHS62_9It79oqrwB0V07cWCLuYV_rLxDmJG6lLRfNp6WPz1U8Io85upJOAopZLzrQ229pFnzNkvF67w_h568qNiYt1HZ8Lw55Rs9kkqUOLLNF71x2t08DuasuNFXVT2SZqA72SmIuHAWpTzKlEU8V8yJuGfG7DybjI-8cFEQN-glcD3ZVCe9_J-nOJXXJTxiEWM9ZAfAOEpzUDxZ6g89UpiGOPbZPL0LtDu9RqUAOIRcLr18kmA8A8K9t-rulTy-r987Hwb9Nyjl4rv6RSY75B7sNAh4MbsbIGI9Ycnat6o8y7yKStk8QxiXt6VPK71mhg09DqvnuH4nzL0svIs9ySnBOGnsAb0MTeM8P2mTOCAAOBNACUhtUAEqcxAAGmAj9wAbGBIZx9oX2PP4_TEJDU21Pv8n_yLn_xYXCOgxQqe-FAb_HNf-850AAAA127kAGwDdf_Oo3EXyAv2dsgAC9nr_P_bw3yDopK7SABfiViLzCjQA5QyuRz794T87Bg4gAC0P9hA7OBNACUhvUAIqrwYQDBqgBgAAIEIAAAjCAABsQgAAcMEAADDBAACowQAAsEEAAILCAAAEwgAAiMEAAIBBAACgwAAAgMIAAKDCAAAwQgAAQMEAAEDAAACgQAAAAMIAAI7CAABgwQAAgMAAAETCAAAcQgAAmkIAAEzCAABUwgAAksIAANhBAABEQgAAmMEAADBCAAAEwgAAMEEAAIrCAAAAAAAAcEEAACBCAADAQQAAFEIAAMhBAAAcQgAAEMEAAJhBAAAsQgAAEMIAAJDCAADAQAAAnEIAAODBAADIwQAAdMIAABDCAABAQgAA-EEAAETCAACywgAABEIAACjCAAAwQgAAAEIAALjBAACewgAAeMIAADBBAABgwQAAwEEAAOBAAACgwAAACMIAABRCAABgQQAASMIAAIhCAADwQQAAHMIAAMhBAABwwgAAqEEAALDBAAAAwQAAcEEAAPhBAACSQgAA0EEAAAxCAADowQAAIEIAADxCAABMwgAAcEEAAEBCAADIwQAALMIAAFjCAAAQwgAAHEIAAEDAAACgQgAA-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-AACovQAAQLwAAOA8AACuvgAAC78AAHS-AACgvAAAmD0AAI6-AADIPQAA-D0AAPi9AAAMvgAAjj4AAIA7AAAUPgAAdD4AAH8_AACgPAAA4DwAADA9AABkvgAAPL4AAIg9AABAvAAAcL0AADA9AABMPgAAML0AAIi9AABAvAAAiD0AAHA9AAAQPQAA-L0AAKC8AAAMvgAAZL4AAKA8AADoPQAAHL4AAAy-AADYvQAAZD4AAJi9AACovQAA-L0AAEA8AAD4vQAAPD4AAFA9AABwvQAAiL0AABs_AACYvQAAMD0AANg9AADYvQAAfD4AAOg9AABwPSAAOBNACUh8UAEqjwIQARqAAgAATL4AAOC8AACIvQAAAb8AAIg9AACAOwAAXD4AAIC7AACAuwAA4DwAAFy-AADgvAAALL4AADS-AACYPQAAgDsAABC9AAAPPwAAJL4AAMo-AAAMPgAAML0AABS-AACIvQAAEL0AAIC7AABQvQAAcD0AAHA9AABAvAAA4DwAAKg9AADoPQAA6L0AANg9AAD4PQAAkj4AAAw-AAAEvgAADD4AAMI-AAA0vgAAHD4AAHC9AADYvQAAmD0AAH-_AACYvQAAHL4AAOC8AADgPAAAuL0AAKg9AADIvQAATD4AAMg9AAAQvQAAHL4AAEC8AABEPgAALL4AAPi9AAAsvgAAlj4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=WBo2YPxQHH0","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10632523280972265974"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3946001804"},"2721010177361228548":{"videoId":"2721010177361228548","docid":"34-4-4-ZAD1992195AB26046","description":"#Ma8151#engineeringmathematics Ma8151 Engineering Mathematics – I https://alexmathsonlineeducation.blog... Trigonometric Integrals Type 15 Engineering Mathematics Engineering Mathematics Integral...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2846973/aeedf0c7c43b3d922ab37dc0349ab4f2/564x318_1"},"target":"_self","position":"10","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DD5XYR2t_b5U","linkTemplate":"/video/preview/2721010177361228548?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Trigonometric Integrals Type 15 Engineering Mathematics","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=D5XYR2t_b5U\",\"src\":\"serp\",\"rvb\":\"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_wIA_AX8BgEG_QIcAPz-9AMDAPEB9wIHAf8A6fwQBQQAAAAGDP8FAwAAAP0GAfv6_gAADQb1AwQAAAAP-vz19gAAABAR-vn-AQAA7PcC_wMAAAAF-gr8_wAAAAQF_____wAAEv_9BQAAAAAHCwL8AAAAACAALTju1zs4E0AJSE5QAipzEAAaYAgKABYL8cPREPPx7dfyFhDtKc0Z1Bb_-OQARxQI7yM469IgJgAuuP8AtQAAAAoA_RTpAARb9dPsMR4cA9OY-y4SfwUBDxn1DAbIzRYVVvAZ7vIB8wAUEd_4FvPvK043JCAALY6eNjs4E0AJSG9QAiqvBhAMGqAGAAA0QgAAFMIAADRCAACAQAAAAMEAAHDBAACAQQAAEMIAABDBAADgwAAAqEEAAEBAAACCwgAAksIAAFBCAADAwQAAkMEAAADAAADwwQAAfMIAACDBAADgwAAAJMIAAADAAACUQgAAZMIAAGzCAACAwgAA2EEAABRCAACAwQAAXEIAAFzCAACgQAAAeMIAAKBAAAAQQQAAcEIAAHBBAACwQQAABEIAAGRCAABwwQAAIEEAAARCAABUwgAApsIAAOBAAACGQgAA8MEAAETCAAAMwgAAFMIAADhCAAAsQgAAgMEAALjCAAAMQgAABMIAADxCAAAoQgAA2MEAAJbCAACYwgAAQEAAAIA_AADgQQAAAEEAAABAAACwwQAAgEIAAOBBAAAowgAAjkIAAOBBAABQwgAAAEAAAI7CAACAQQAAwMAAANjBAADgQQAA0EEAANJCAAAQQQAAwEEAAATCAADgQQAAMEIAAHTCAAAAQAAAgkIAAODBAABEwgAAGMIAAADCAACYQQAAIEEAAKxCAAAowgAAUMIAAKhCAADAQQAAyMIAAJDBAACgQAAAgD8AALhBAAB8wgAATEIAAKBBAACYwQAAiEEAAHzCAABQQgAAYEEAABDCAADQwQAAuMEAABjCAADQwQAAYMIAAIBBAABAwQAAGEIAAIZCAADAQAAAfMIAAMDBAACGwgAAMMEAABDBAADYQQAAoEIAAMBBAADgwQAAcMEAAIBBAAAUwgAAeMIAAKBBAABAQAAADEIAAODBAACwQQAAIMEAABjCAABAwQAAwEEAAIA_AAAYQgAAAEAAABBCAABgwQAAmEEAAGRCAACoQQAAqMIAAADCAACWQgAACMIAAPhBAACgQAAAEMEAABDBAADgQAAAVEIAAChCAABoQgAAoEEAAHTCAACgQQAAoEAAAChCAABQwQAAAEIAACBBAACIQQAAkEIAALhBAABAwQAAYMEAACDBAACAQAAA-EEAAHjCAACYwgAAGEIAAIBAAACgQAAAyMEAALjBAABAwQAAsMEAACBCAACgwQAAYMIAAADBAAAUwgAAYMIgADgTQAlIdVABKo8CEAAagAIAALi9AABUvgAAyD0AAEA8AADgPAAAyj4AAEC8AABFvwAArr4AAAw-AACIPQAAqL0AALI-AAC-PgAAQDwAAI6-AACSPgAAqD0AAOg9AAA9PwAAfz8AALi9AADYPQAAgLsAAAQ-AACYPQAAED0AALi9AAAQPQAAjj4AAJI-AACavgAA2D0AAFA9AADWPgAAoLwAAGS-AACIPQAAnr4AAOi9AAAQPQAAUD0AAPg9AADSvgAAUL0AAHA9AACWPgAAzr4AAES-AADavgAARL4AANi9AADOPgAAmD0AAHy-AACgPAAAUT8AAPg9AABwPQAAwj4AAOA8AAA8PgAAqD0AAGS-IAA4E0AJSHxQASqPAhABGoACAABQPQAAcD0AAJi9AAAtvwAAir4AAOi9AACOPgAABL4AAIi9AADYPQAAuL0AAI6-AACAuwAARL4AAFA9AACgvAAAiL0AABM_AAAQPQAApj4AAMg9AAAEvgAADL4AAJi9AADIvQAAFL4AAIa-AACgvAAAoLwAAOC8AAAQPQAADD4AAIC7AACIvQAAuD0AAEC8AADWPgAARD4AAHy-AAAEvgAAVD4AAEQ-AAD4vQAAiL0AAOA8AABUPgAAf78AAFC9AACYPQAAir4AAIo-AAC4vQAAuD0AAJg9AACgvAAAJD4AABC9AACIvQAAoDwAABQ-AAC4PQAAEL0AAGy-AABAPCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=D5XYR2t_b5U","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["2721010177361228548"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10149791161489536342":{"videoId":"10149791161489536342","docid":"34-5-12-Z387D01185515414C","description":"#Ma8151#engineeringmathematics Ma8151 Engineering Mathematics – I https://alexmathsonlineeducation.blog... https://alexmathsonlineeducation.blog... #engineeringmathematics1#...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4434654/896674ec2300a208882286f28d915b0d/564x318_1"},"target":"_self","position":"12","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DLq1V5dFLc6g","linkTemplate":"/video/preview/10149791161489536342?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Method of undetermined coefficients Problem 8 Engineering Mathematics M1 Differential equations","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Lq1V5dFLc6g\",\"src\":\"serp\",\"rvb\":\"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_AgD7_P8PAQn7Ag0G_wL2AAAA6_j78wL_AQD68xMCBQAAAAwF-wMCAAAAAPvyDfj-AAAD-_wCBAAAAAz3CAL7AAAAGxH_AP4BAAAC9wP4AgAAABMEAf3_AAAA-An_CPwAAAD5EP0HAAAAABX_A_0AAQAAIAAtMyDXOzgTQAlITlACKnMQABpgEAAAMwUX4f3_GPbi3eYIA9w_zQX78f_9BQAqK_j5HCXL1P4bAETPKe2xAAAAINnv8usA3mDjydE_HxMD2_cJ6gd2BQjh-EIM7Lfw9dYo5SYV5CcMAPX_-gE_KIEYHA8zIAAt4vEzOzgTQAlIb1ACKq8GEAwaoAYAACBCAAAswgAAYEIAAEDAAAAAwQAAoMEAAABBAAB4wgAAIMEAAHDBAADAQQAAgMAAAHjCAACawgAAKEIAAEDBAACIwQAAUEEAALjBAACOwgAAsMEAAIC_AAAkwgAAMEEAAFxCAAB8wgAAWMIAAJjCAADYQQAAREIAAIjBAABQQgAAFMIAAEDAAACCwgAAwMAAAGBBAABYQgAAqEEAAMBBAACQQQAAOEIAACDBAADgQAAA8EEAAPjBAACIwgAAAEEAAJJCAADAwQAAKMIAAGTCAACYwQAAZEIAAPhBAAAEwgAAlsIAANBBAABkwgAAAEIAAPhBAADgwQAAqMIAAIrCAACAPwAAgL8AAFBBAABAQAAAMMEAAMjBAABwQgAAmEEAACzCAACeQgAAsEEAAFzCAABQQQAAlMIAAABAAACIwQAA6MEAAARCAAAYQgAAwkIAALBBAAAgQgAA0MEAALBBAAAoQgAAWMIAAIBAAAA8QgAAVMIAADjCAAAcwgAABMIAAAhCAACoQQAAmEIAAPjBAAA0wgAApEIAALBBAADqwgAAyMEAAKBAAACAvwAAkEEAAJbCAABwQgAAAEIAAKDBAAAUQgAAaMIAADxCAADIQQAAOMIAAIC_AADQwQAAGMIAAOjBAAB0wgAAIEEAAGDBAAAAQgAAhEIAACDBAABcwgAAoMEAAIzCAAAQwQAA2MEAALhBAACmQgAAIEEAAADCAADAwAAAoEEAABDCAACEwgAAQEAAAAAAAAAMQgAAqMEAAIhBAABAQAAALMIAAIBAAACIQQAAAMAAAExCAAAwQQAAHEIAAMDAAADgQQAAHEIAAPhBAACkwgAAuMEAAJZCAAAgwgAAAEEAAIC_AACAQAAAgMEAAIC_AAAoQgAAeEIAAGRCAACoQQAAhMIAAIhBAACgQQAALEIAADDBAAAwQgAAgD8AALBBAACCQgAA4EEAADBBAAAEwgAAMMEAAKDAAAAEQgAAZMIAAI7CAAA0QgAAwEAAAABAAAC4wQAAwMAAAIC_AACYwQAAEEIAABDBAAA8wgAAAMEAAAzCAABYwiAAOBNACUh1UAEqjwIQABqAAgAAcD0AAIq-AABQPQAATL4AAIi9AACaPgAAXL4AAEm_AABkvgAAQDwAAKg9AAAEvgAABD4AAOg9AADCvgAABL4AAHQ-AABAvAAAfD4AAOY-AAB_PwAAoDwAAFw-AABQvQAAJL4AADS-AADIPQAANL4AAFC9AAC4PQAAhj4AAGy-AABQvQAAQLwAAIg9AABEPgAAXD4AAKi9AABcvgAAZL4AAJq-AABwPQAAFD4AAOC8AAAwvQAAqL0AAIo-AAB0vgAA-L0AAK6-AACovQAAfL4AABQ-AAD4PQAAyL0AAIi9AAAjPwAAQLwAAOi9AACIPQAAmL0AAAw-AAC4PQAAcL0gADgTQAlIfFABKo8CEAEagAIAAAS-AAAEPgAA4LwAACm_AACevgAAgLsAAKY-AAAEPgAAqD0AADQ-AACAOwAAVL4AAOi9AAAsvgAAiD0AAKA8AABAvAAAHT8AAIi9AADiPgAAQLwAABS-AABUvgAA2L0AAOC8AACYvQAAQDwAALg9AAD4vQAAqL0AAEC8AABQPQAAgLsAAHC9AABMPgAAyL0AABw-AAB8PgAAkr4AAPg9AADoPQAAML0AAOA8AAAMvgAAcL0AADA9AAB_vwAAUD0AABS-AACSvgAAgLsAAIg9AABQPQAAgLsAAEQ-AADoPQAA4LwAAMg9AADYPQAAqD0AAEA8AAA8vgAAiL0AAII-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Lq1V5dFLc6g","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["10149791161489536342"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14192361823800020771":{"videoId":"14192361823800020771","docid":"34-0-11-ZE6B95CAAB2D59C7A","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4077329/c24f0247d0b1bfeed0d910529b956644/564x318_1"},"target":"_self","position":"13","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dww4PKOlbaW0","linkTemplate":"/video/preview/14192361823800020771?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete and continuous random variables Problem 9 Engineering Mathematics","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ww4PKOlbaW0\",\"src\":\"serp\",\"rvb\":\"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_v4CAPb5BgkOBvwBDP77CPf__wDt-PD8BQAAAPj8CQsJAAAA-gL7_gYAAAD2_vsI9P8BAAQE-AcEAAAAHgAJ__oAAAAdAAH6_gEAAP8AAQL7AgABDv4BCAAAAAD6FQj8_v8AAAgWBv4AAAAABgYDCf8AAAAgAC1pV9o7OBNACUhOUAIqcxAAGmAGBQAzCvjo4REm4aQNvh43CO7QMgbn__3S_-Y9Ff8c99rID-3_KBMk3agAAAAd5MIPTQDqbPjWxSH_Ew2nFf_9CH8WK_byG_UT-_kl7y_UTdcUJikA1uwiITEayUwU3SkgAC2q-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-MEAAEBBAADAQQAAbEIAAPDBAABAQQAABMIAACDBIAA4E0AJSHVQASqPAhAAGoACAABcPgAAyL0AACQ-AAAQPQAA6L0AAI4-AAB0vgAAFb8AAKK-AABUPgAA4DwAAHC9AAA0PgAAFD4AAKa-AAAUvgAAxj4AAHA9AACgPAAAIz8AAH8_AAAMvgAABL4AAMg9AAA0vgAAEL0AAOg9AACgPAAARL4AANg9AAAcPgAA4DwAANi9AABwPQAA4DwAAIg9AABAPAAAoLwAAIa-AACKvgAAbL4AAHA9AACYPQAAHL4AAFS-AABkvgAAHD4AAES-AADYvQAAqL0AAPg9AABkvgAAqj4AAKI-AACKvgAAmL0AADU_AABQPQAAHL4AAOg9AABwvQAAML0AAEw-AADgPCAAOBNACUh8UAEqjwIQARqAAgAABL4AAJi9AADIvQAAHb8AAKC8AABQPQAAmD0AAJg9AAAEvgAAjj4AAAS-AABAPAAAcL0AAHC9AADIPQAAUL0AABC9AAAVPwAAJL4AAO4-AADYvQAAcD0AAAy-AAAEvgAAMD0AAHC9AACYvQAAcL0AAIA7AAC4PQAAUL0AAHA9AADoPQAALL4AABw-AABAvAAA-D0AAII-AADIvQAA2D0AAOg9AAD4vQAAyL0AAJi9AAAcvgAAuL0AAH-_AAAQPQAAFL4AAKi9AAAQPQAAuL0AAII-AAAwPQAA4DwAABA9AACAuwAAPL4AAIA7AACgPAAA4LwAAJg9AAAQPQAAuD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ww4PKOlbaW0","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["14192361823800020771"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7782165745436700453":{"videoId":"7782165745436700453","docid":"34-1-3-Z1D4F5F242ABA938C","description":"#Ma8151#engineeringmathematics Ma8151 Engineering Mathematics – I https://alexmathsonlineeducation.blog... https://alexmathsonlineeducation.blog... 3x3, eigenvalues and eigenvectors 2x2...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/790970/b273577a9d14006a4abe47598e1af00d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/0d5y2QEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DRBYpESYSnuw","linkTemplate":"/video/preview/7782165745436700453?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Properties of Eigenvalues and Eigenvectors Problem 5 Engineering Mathematics Matrices","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=RBYpESYSnuw\",\"src\":\"serp\",\"rvb\":\"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_wIA8AUMBRAD_QAUBfgG9QEBAPUA9fQDAv8A7AkOA_4AAAALEP30_gAAAAMB-QXy_gEACPz1_fgAAAAV-Q_59wAAAA4M_AP-AQAA9PL_AQP_AAAJCg0JAAAAAAP-BgkDAQAABgwG_AAAAAAL_Qz2AAAAACAALV612Ds4E0AJSE5QAiqEAhAAGvABf-4AAMgN-__19OkAuhXsAJwTC_8HLPMAzgENAL_3zADvBuwAzfry__gbFQDrD_EAQfjkABLhF_9IxQgADOP0ANgjFQFt8vMAKRoFAP_05f_gCwr-_egCAAne6v8YDOj-CfodAfkUBfwO_9gDKO8M_fT3EgEMAxQBAq0BBscU5wD4-cz-Ag_uCfHn8fvk9isH7-P3BQMrGAH0RegGCecFA_P1GfkMEdUAC_b8C_P0-ff17vQBAPoO-BIc_vfpChEEAQsr-9voAPn4-QL1DvwB_-rq-QEEAfQM9wEQDRTy_P0M0P3_EvcGBuYYDgfjB_buIAAtGCAkOzgTQAlIYVACKs8HEAAawAe858C-FaPTO-7X0zxnJo29EzfZulaiBTxj7T--6J8FvJ3DLTvM0k496OgnPJPlf7yBCAG-Nz5JPa5tgLydRoI-fxZLvL4SyLzZQ0u-Q5J2Oyl_gr1EGF--1GRnO6WdPzwq_4o9878mPNnNzju1awI-xJNdO6BYo7shlaK8hkSQvE7etrz3AB2-pYkSPVjrH73vGvS8ZsYyu5vqAzwFweM9yTjmvRSMbzv1JUA8h7-mvKBsirzhH7u9AUCEvDm07bwd6ME9hvx-uepJjzxJRx68rn6wuFm49jx8Jwa-ln3yvKSk7Lw9Cjc9pkZovJPGqLxi9Iw9nn7Qvb52XbvQKkO-mHOfvA-oiDwnFxM-T9VzPRWpsDwilK28dEuhPc7BszwH_da8awqmuu8ip7wwY6o9oZGZPCZpozzUhfM8utJXPDOJQbpdOTa9xuBhPc-pgrpEfke9eAXHvTfvSbxWR249f-h4PasTxrwD3769LN8JPefyEzsT6_k86gt8vAStn7u-hws-n2l0u3-QmzwtyhE9XxeEvZpD8zt1-FW9wf4rvRcqf7yhxoM9XIbJvMfbJbxQj809mVC3PJOty7ow-mU8kqu7O93NFbs1KWU9oYG4vWpQDzvZ9bG9SEcpuiMwGbrTtqs8sDqSPYnx9bvp7Mk8TBjNPV_omrlUcq69r14lvX7FWLtowIo9tcCDPBQmiDutzvs8D5fcvBw8lzpru4Q9-7N6vDe5Z7tmVqU89tFpvbVsTjuIeos8dGKsutAObbp5Aas9IsG3uyj1NjnycTe8bomMvUNonDdNLZs8iXAdPTg23TjB0hC8_ZMuPL2rizkPCsq8Eg03vQx7nzg-jBU912kkvFZzxTl9BUk9C3-ju6sIo7hrHsG9xK6ivVn4IjgtPR48OUlOvCHoc7gUfK49K8KNPeBkZTgoMYQ7g3wYvDgWeDkXwZq8rgxPPC2TYTkaAMU8jYljPZF9Ojdar4M9AY_DvabRWjmSWug8i_GrPbob1jeOlM09fZKbPbOgVDf6WAu98fWVPWnG87jD0-s8Zyb4vSIkJLjQgBU9gEq1PZY0kLhYn8y9pi40PYN_LDkqWPe4rAk4vbZyazeKIuQ93lXPvJt2VDct0dm9vKCEvevJlDfB4ys-3KVovAeJdLkinQs9JJurvfcNEbimhpE8I2NavfR-ijeRvwq9gx6VPYtDkTcNEkc8dHz0vVZYWbgi_-w9NSkFPvN-W7i2yp083NUrPV_ZcLj7NxS9ic43Pa8Nj7fj-TG8ngQ7vVZMhzUgADgTQAlIbVABKnMQABpgNPYAPSE44g73_-Lhy-4FCskWvjQEEP8C7P8IBPvaIyvHAAgYABPAHd6sAAAAJs_n0BAAu3XezvwEGBn-0ZHlIwt_8zIT1fg4FNLkBh8Iyx36-A8uAP_UmTgwEKofGBYuIAAtsmghOzgTQAlIb1ACKq8GEAwaoAYAAEBCAAAcwgAAbEIAAKDAAADAwQAAuMEAAHBBAAAwwgAAgL8AAEDAAACYQQAAoEAAAJ7CAACMwgAAGEIAAADBAACowQAA4EAAAODBAACUwgAAAMAAAJjBAAAwwgAAQEAAAJZCAABQwgAAVMIAAHTCAACIQQAAPEIAAKDAAABoQgAAQMIAAIA_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_AADovQAARL4AAGQ-AAB0vgAAJD4AAOA8AABcvgAAgLsAAKg9AACAuwAAfD4AAO4-AAB_PwAAqL0AAKo-AACIvQAAPL4AAIA7AAAUPgAAiL0AALg9AACWPgAAxj4AAJi9AACavgAA4DwAABA9AAA8PgAAqD0AAKi9AACavgAA7r4AAIK-AAAsvgAADD4AAIi9AACKvgAAUL0AANY-AACKvgAA-L0AABS-AADgvAAAmr4AAIC7AAC4PQAAgLsAAIA7AABHPwAAQDwAADC9AACoPQAAUL0AAIA7AAAkPgAA-L0gADgTQAlIfFABKo8CEAEagAIAAOC8AABQPQAADD4AAC2_AACYvQAADL4AAGw-AADovQAAML0AAEw-AABwPQAAVL4AAFA9AABMvgAAqD0AABC9AACAOwAAKz8AAJg9AACiPgAA6D0AAJi9AACovQAABL4AAIA7AAC4vQAA4LwAALg9AACYvQAAuD0AADA9AADIPQAAUL0AAEA8AAAUPgAAUL0AAGw-AABsPgAArr4AAHC9AAA8PgAAiD0AABA9AAAwvQAAmL0AAPg9AAB_vwAAED0AAHC9AABsvgAAoDwAAFA9AAAMPgAAgDsAAIA7AADoPQAAQDwAAIA7AACoPQAAQDwAAKA8AADYvQAA-L0AANg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=RBYpESYSnuw","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":716,"cratio":1.7877,"dups":["7782165745436700453"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"426298657"},"5890835218550184645":{"videoId":"5890835218550184645","docid":"34-7-15-ZAC9713C37FB6C41E","description":"#Ma8151#engineeringmathematics Ma8151 Engineering Mathematics – I https://alexmathsonlineeducation.blog... Definite Integrals Problem Engineering Mathematics Engineering Mathematics Integral...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2842007/4d7b339d378f9f1e4caae2789008ad0c/564x318_1"},"target":"_self","position":"15","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dlikj6oQcp8Y","linkTemplate":"/video/preview/5890835218550184645?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Definite Integrals Problem 3 Engineering Mathematics","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=likj6oQcp8Y\",\"src\":\"serp\",\"rvb\":\"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_gAA_8GAQ8G_gIsAPv68gUGAOMQ_PgI_QEA6OsLAAT_AAD_FQkMBgAAAP3-_f_3_gAABQLrBwIAAAAY7vb2_QAAAB4T_wD9AQAA9P4EBQP_AAAO_v0BAAAAAPQICQT__wAADwkC-wEAAAAK_gUHAAAAACAALVoYwTs4E0AJSE5QAipzEAAaYPwTADASA9Db9h3s7uXhCRDvBNoE8iYA7OYA_vHt3Ag528oCEv8lxQT1wAAAABTrBAC7AN9Q5t_AFgwm9uvHBwQWfw4QAQDnD_TL3gzrLNgo8fPi-ADtC-4PJxDXLCgDJCAALRF_UDs4E0AJSG9QAiqvBhAMGqAGAAAYQgAAHMIAABRCAACgwAAA4MAAAJDBAAAwQQAATMIAAEDAAAAAAAAA2EEAAADAAABkwgAAkMIAADxCAACYwQAAwMEAAAAAAADAwQAAisIAAIDBAABAwAAAEMIAAIC_AACSQgAAYMIAAGjCAACcwgAA-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-AAB8vgAAuD0AAAw-AAAQvQAAdD4AAOC8AAAjvwAAkr4AAKC8AAD4PQAANL4AAIY-AACSPgAAoDwAABy-AADaPgAAuD0AAAw-AAAPPwAAfz8AAOg9AAC4PQAAUL0AALq-AABwvQAA6D0AABS-AACIvQAAcD0AAKI-AACWvgAAyL0AAEw-AAAUPgAAmD0AAKC8AACgPAAAfL4AAKq-AAA0vgAA2D0AABA9AAAsvgAAyL0AAEC8AACGPgAA2r4AAPi9AACKvgAAiL0AAAS-AAA0PgAADD4AAKK-AACIvQAAcz8AABA9AACAOwAAsj4AAPi9AACgvAAAcD0AAJa-IAA4E0AJSHxQASqPAhABGoACAACovQAAuD0AAOC8AAAxvwAARL4AAKA8AABkPgAAUL0AAKA8AABUPgAAmL0AAAy-AABwvQAA-L0AANg9AACAOwAAQDwAABk_AAAQPQAA1j4AAKg9AAAEvgAAoLwAAPi9AACovQAAMD0AADS-AACgPAAAML0AAOC8AAAwvQAAmD0AABw-AABEvgAAyD0AAIg9AAA0PgAALD4AAPi9AAAwvQAATD4AAKg9AACIPQAAJL4AAIA7AAA8PgAAf78AADC9AABAvAAABL4AAPg9AABQvQAA2D0AAAQ-AACAOwAA-D0AAEC8AABMvgAAcD0AAHA9AAAwPQAAJL4AAAS-AABkPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=likj6oQcp8Y","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["5890835218550184645"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9742110011250459200":{"videoId":"9742110011250459200","docid":"34-4-8-ZFD4334D453BE0083","description":"theorem...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3563375/86e4d71701a00f818c95ac7b1dee12c6/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/VuO-RQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DXV46Nz5-Gss","linkTemplate":"/video/preview/9742110011250459200?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Increasing & Decreasing Fuctions Problem 3 Engineering Mathematics M1 Differntial Calculus","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=XV46Nz5-Gss\",\"src\":\"serp\",\"rvb\":\"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_AQAA_X7CAYI_AIPCAMK9gEBAPP7_fwHAQAA_fYGAwIAAAABDPv9BQAAAAH2AQT2_QEACP3-_QMAAAAQ-vYB9QAAABoQ_wD-AQAABP4FCQP_AAARCQgB_wAAAPoN_Pv_AAAAAQf4-gEAAAAC-AUHAAAAACAALdA13zs4E0AJSE5QAiqEAhAAGvABfwgIAeTuzgHXBcgAySL3AKsNHP_oI9MAvQX9ALj2xwDsGvYA3Qj7AO4RDwDYJ94AZe7j_-_c1wA73PwABeoFANEZCQA-7PsBXAYdABfp7f7MBR3_2OT4_xjW0gMqOfP-H_AT_O4X7f8P_9QDOg0tAOgPMwEs-yUB4K0lAN8DCwHTE9P9CiUEA97f-fzFDBADC9D9_g8FCPTsE9z9CuQFA9vUBfosNtX_FOYRD-wN8ADjAu0HBfUGAwkbEQXg8eoB-8kOCOPy-_P__xb6AfgV9OIA9wUTH_IMDOsL-gUAEggU3OwCyRIEAgL-9w7gCPTsIAAtjbsTOzgTQAlIYVACKnMQABpgEOcALQ8U9Qb2F-T8xfIQwvASkSLp_P_-2f8EOPD6ETLAyv8Q_xbWJdqiAAAAIMjP9Q0A2XzT4hY76AUXnL3YMSx_4zYa1_QmDu3EOf0O9C8A8gNSAN8aqj42DIpJGwQ-IAAtGw8VOzgTQAlIb1ACKo8CEAAagAIAABS-AABAvAAA-D0AABC9AAC4vQAAjj4AACy-AAAZvwAAHL4AANi9AACgPAAABL4AAKg9AAA8PgAAVL4AAIi9AACaPgAAoDwAABQ-AADWPgAAfz8AAJi9AACgvAAAQDwAAKq-AAB0vgAAoDwAADC9AACYvQAA4DwAAEQ-AABcvgAA2L0AADC9AACAOwAA4LwAAOA8AAD4vQAANL4AAJa-AACGvgAAyD0AAKg9AAAcvgAAQDwAAHS-AACKPgAAZL4AALi9AABMvgAAMD0AABy-AADIPQAA-D0AADy-AACIvQAAPT8AAAw-AADgvAAABD4AAKC8AADoPQAAiD0AALi9IAA4E0AJSHxQASqPAhABGoACAAD4vQAAmD0AAEA8AAAdvwAAZL4AAPg9AACmPgAAuD0AAOC8AACIPQAA-L0AAGy-AABQvQAABL4AAMg9AACAOwAAUD0AAAc_AADovQAAuj4AABQ-AACIvQAAFL4AAOi9AACAuwAA2L0AAMi9AABAPAAAqL0AAIC7AADgPAAAcD0AAEC8AAAEvgAAHD4AADA9AAAEPgAAfD4AAGy-AACIPQAARD4AAIA7AABsPgAAuL0AAKA8AABQPQAAf78AADQ-AAAQvQAADL4AAAw-AACAOwAAHD4AAHA9AADoPQAABD4AAEC8AADgvAAAoLwAADA9AABAvAAABL4AAIA7AABcPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=XV46Nz5-Gss","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9742110011250459200"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3818799195702633663":{"videoId":"3818799195702633663","docid":"34-4-15-ZFB84076D57B66600","description":"#Ma8151#engineeringmathematics Ma8151 Engineering Mathematics – I https://alexmathsonlineeducation.blog... Definite Integrals Problem Engineering Mathematics Engineering Mathematics Integral...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3643087/61a233c29a71c1a1eb90160efc8d93cf/564x318_1"},"target":"_self","position":"17","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DTCvexVdkybw","linkTemplate":"/video/preview/3818799195702633663?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Definite Integrals Problem 4 Engineering Mathematics","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=TCvexVdkybw\",\"src\":\"serp\",\"rvb\":\"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_gAA_8GAQ8G_gIhCwP58wQFAOMQ_PgI_QEA6OsLAAT_AADzEAELAwAAAPX3__7y_gEADgf0AwQAAAAS7An2-wAAAA8b-gP9AQAA9PkH-AIAAAAO_v0BAAAAAPkGAQYEAQAABg0H-wAAAAAD-wYAAAAAACAALVoYwTs4E0AJSE5QAipzEAAaYPsVAC4LAM7Y9xbt7-TjBxDvA9v_9iUA7-0A__Dw2ws828oEDv8nwwTzwQAAAA_vBP--AOBP6eC7Eg4r9vPLBgsPfxAMBfToB-_M4QTpLdUr8fXp-gDuDOkSKhDcJicHJSAALbsTUzs4E0AJSG9QAiqvBhAMGqAGAAAUQgAAIMIAABhCAABAwAAAEMEAAJjBAABwQQAAPMIAAIC_AACAvwAA0EEAAADAAABswgAAjsIAADhCAACQwQAAsMEAAIC_AADAwQAAiMIAAFDBAABAwAAAHMIAAADAAACMQgAAaMIAAHDCAACYwgAA-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-EEAAMhBAACwQQAAjkIAALhBAADAwAAAkMEAAODAAADgQAAA-EEAAHTCAACiwgAADEIAAEBAAABAwAAA8MEAANDBAABwwQAAoMEAADxCAADIwQAAUMIAAEDBAAAYwgAAXMIgADgTQAlIdVABKo8CEAAagAIAAFC9AAAsvgAAED0AADA9AAAsvgAAoj4AAKA8AAAbvwAAfL4AAIA7AABMPgAAyL0AACw-AACKPgAAVL4AAHy-AAADPwAA4DwAACQ-AAAdPwAAfz8AALg9AAC4PQAAmD0AAJ6-AABAvAAAuD0AAHC9AABQvQAALD4AAIo-AACyvgAALL4AAJI-AABkPgAAMD0AAAQ-AABAvAAAdL4AAMK-AADYvQAAcD0AAKA8AADovQAABL4AAEC8AABcPgAA2r4AACy-AACuvgAAiL0AABC9AABUPgAAFD4AAMi9AACovQAAYz8AAIC7AAAQvQAAkj4AAGS-AAAwPQAAMD0AAEy-IAA4E0AJSHxQASqPAhABGoACAABQvQAAqD0AAIi9AAAvvwAANL4AAHA9AABsPgAAcL0AABA9AACGPgAAqL0AANi9AACIvQAAuL0AALg9AACgvAAAQDwAABM_AABwPQAA7j4AADA9AAAcvgAAQDwAAPi9AABwvQAAmD0AABy-AADgPAAAoLwAAIC7AABQvQAAUD0AAAw-AAAcvgAAuD0AABA9AABcPgAAXD4AAMi9AADgvAAAgj4AAOg9AADYPQAADL4AAEC8AAA0PgAAf78AAEC8AABAvAAAoLwAAKg9AABwvQAABD4AABQ-AACAuwAA-D0AAKC8AACKvgAAoDwAABA9AABwPQAAyL0AAAS-AABkPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=TCvexVdkybw","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["3818799195702633663"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4240225065378560561":{"videoId":"4240225065378560561","docid":"34-4-17-ZC941A020A49EC0DE","description":"#Ma8151#engineeringmathematics Ma8151 Engineering Mathematics – I https://alexmathsonlineeducation.blog... https://alexmathsonlineeducation.blog... 3x3, eigenvalues and eigenvectors 2x2...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/964243/8f81537d7e3dc973f74964bec5a9f2d3/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/XY441gEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DhMx6dWjv_Xo","linkTemplate":"/video/preview/4240225065378560561?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Properties of Eigenvalues and Eigenvectors Problem 13 Engineering Mathematics Matrices","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=hMx6dWjv_Xo\",\"src\":\"serp\",\"rvb\":\"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_wIA9QEDBQcF_QEUBfgG9QEBAPUA9fQDAv8A7PkQ_P3_AAALEP30_gAAAAMB-QXy_gEACPz1_fgAAAASBAb5-AAAAAwO7wL_AAAA9Pv-_AMAAAAIBQ_8_wAAAAAFCgMBAAAABgwG_AAAAAAH_gb_-_T-ACAALV612Ds4E0AJSE5QAiqEAhAAGvABf_v0Ad4F9AHs780BrDX5_5gUDP8JHef_2hUSALz3ygDuBusA3wPrAA4pFQDf_-__Xu_l_xPfF_833_wAGOEAAdYlFgFY6OUAFiIHAPEE3P_PHxr--fL7AP3K4AACFukD_ugV__L19gAO_9cDMfAeAub6KgQdAhb8AqkBBtkh6QDQ3s_7CwD2CfHf__rs8BcECO0UBQ4cF_rzLuT9CeYFA_P0GvkNEtMAHvP3BeX9Avrn6v789goH9BoR-AfX_iMG8_ckAs7q8Pz4-QL0GwkQBt3z8QIP__IBAAcHAhf17QIE4fn6FRcABd0DDQnVEwP2IAAtY8sdOzgTQAlIYVACKs8HEAAawAfMXcO-ZNL4ukvw_julnY-9ROTPvIVLvbwZAiC-CGqAuzj8iTy4GYM9lDlRvX_mAr1U_B--J8wqPXfzuTzFVYU-VDBvvZt_KrzZQ0u-Q5J2Oyl_gr1EGF--1GRnO6WdPzyxpLw98PTvvBiNRjxUUwI-3Es6vXbMELxvsQy9VlsbvVI4zLz8xFG-x4ymPCqN2LwbyVS8n_EzvLlwHjzhlwo-caiUvbqrbLv1JUA8h7-mvKBsirzhH7u9AUCEvDm07bz-bpA9x-xyO6FzDT1JRx68rn6wuFm49jxWUIy90MEJvVoUkbwYQPg8sqeTvHSHAbxi9Iw9nn7Qvb52XbtjtB6-NhZ7u39gWDyvXbo9jeuEPJV3-jwilK28dEuhPc7BszyIV-O8D0eXvGcsGLxkk9w9bv1PPGcxzDwgnCo9SKrOOsJs_rsIm_C8_2McPRcNmTxEfke9eAXHvTfvSbxd_yk9DLXBPD90nLxOXuS91kJ_PAevxDvPmmQ99lFcvXvrrjunB2U9W5TZPNjCYjw9zc07-DuPvaiYOTzHg229VxCOvZ23VryhxoM9XIbJvMfbJbwea-Y9GyoGPThDFrxcTBq8bXuxvP0RK7xtpJE8Xsh5vR-sNTtaari9mzTyPBWrBrxuIqk8jKZOPZtR1rvp7Mk8TBjNPV_omrlUcq69r14lvX7FWLtjpJ09agYnPZCf8DrqMqW7hWauOp84xjt65Ko9I1-uvG9IgrnUoIE7dBWxvT6zW7jGpD-85AS3vDz--bjiW5g9uiSYvB2fezk7dcA8-9hTvW4uxTh5EC872a1qPTdzPznf-L-8SLQuvEMXDzbdKqO8Vz3AvZEGHjkRQ6E8fIidu3U0ejqW4jQ984rMvHeDjrlrHsG9xK6ivVn4Ijg4lqA6Av7fPODFSLcF-ak9wiS7PVrbvTfcVLS6o8CMvNCRbTkNsCW9inIhusaWLjkFpH08moSBPbC1qThB8QM9cU_Bvdc4ezl4rCO8rp9-PX0E0zjiiSo9c1Z6PWTZqTe_O0O8iBOjPbLHU7jTzwg8ZjHRvT5LlzbuELU9VvfDPaPwIbki-wC-xl8kPReYZTiaVrO7ncMLvd3ovjfEzw8-PGrpu57LlTY8tq-9E0tFvf6vvDeSXRk-2U9QvazCP7mTjJy8JrGqvfcB27gq6xA8f57rvBoxhTeOuaG8yQmuPWRuFLdJ9448rVDEvXOc8rgi_-w9NSkFPvN-W7j6T-067HXBPIvtoLhSCaS9H_hTPQlDMDjOZhq9D-7OvJAkP7cgADgTQAlIbVABKnMQABpgL_IALhQ15BsCCuLf0fwCBsogwkH3C_8C6v8J9_XYHybA_AQYABm6I96pAAAAOM7u1Q0Ar3XUxfwACR4PyYzyHBF_9jMW0gAyI9fqDxsOzR3w-gc4AP_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-MEAAEBBAACIQQAAsEIAABDCAABAwgAAokIAANBBAADcwgAAoMEAAFBBAADAwAAAiEEAAIDCAABEQgAA4EEAAKjBAADIQQAAXMIAAGhCAADAQAAAPMIAAEDBAACAwQAA8MEAAATCAABcwgAAcEEAAADCAAAUQgAAmkIAAKDAAABwwgAAYMEAAJrCAACgwAAAFMIAAAhCAAC0QgAAcEEAAATCAABQwQAAgEEAAPjBAABcwgAAEEEAAAAAAADAQQAAkMEAAKBBAAAAQAAA-MEAAHDBAACwQQAAkEEAAEBCAABQQQAA0EEAAADBAAAEQgAAKEIAALBBAAC2wgAAEMEAAJZCAAAMwgAA0EEAAKBAAADgwAAAwMAAAODAAABMQgAAFEIAAGhCAADYQQAAkMIAAABBAACAPwAAMEIAAJDBAABEQgAAAEEAAHBBAACSQgAA0EEAAADBAACowQAAgEAAAKjBAAAMQgAAbMIAAJbCAAAsQgAAAEEAAIA_AACgwQAA4EAAAMDAAACAPwAAFEIAANDBAACAwgAAIMEAAPjBAABowiAAOBNACUh1UAEqjwIQABqAAgAAHL4AAIA7AACGPgAA6L0AAMi9AAD-PgAAmL0AAFu_AACovQAAHL4AAEw-AABMvgAA6D0AAAw-AABMvgAA4LwAAHw-AACgvAAAfD4AANY-AAB_PwAABL4AAKo-AABQvQAAmL0AAHA9AABwPQAAML0AABA9AACaPgAAsj4AAES-AABMvgAAoDwAAEC8AABkPgAA4DwAAAy-AACmvgAA6r4AAGS-AACIvQAAHD4AALi9AAAMvgAAqL0AAOI-AABMvgAA6L0AACy-AADgvAAAkr4AADA9AAAQPQAAgLsAAEA8AABFPwAAgDsAADC9AAC4PQAAUL0AAIA7AABEPgAA4LwgADgTQAlIfFABKo8CEAEagAIAAIi9AACgPAAAuD0AAC-_AABwvQAA2L0AAHw-AAAcvgAAiL0AAHw-AABwPQAANL4AAOA8AABMvgAAyD0AADC9AADgvAAALT8AAMg9AACuPgAAFD4AAJi9AACYvQAAyL0AAEA8AACYvQAAoLwAAMg9AACovQAAUD0AADA9AACYPQAAQLwAAEA8AAAsPgAAmL0AAGQ-AAB0PgAAsr4AAHC9AABUPgAA6D0AANg9AAC4vQAAcL0AAOg9AAB_vwAAED0AAOC8AACGvgAAQLwAAKA8AAAkPgAAgLsAAEA8AADoPQAAoDwAAEA8AACYPQAAgLsAAEA8AAC4vQAABL4AABQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=hMx6dWjv_Xo","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":716,"cratio":1.7877,"dups":["4240225065378560561"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3268321396"},"9734702389393103427":{"videoId":"9734702389393103427","docid":"34-0-3-Z2316C5212EFBAF54","description":"#Ma8151#engineeringmathematics Ma8151 Engineering Mathematics – I https://alexmathsonlineeducation.blog... https://alexmathsonlineeducation.blog... 3x3, eigenvalues and eigenvectors 2x2...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3509048/015088e96729e733510b6af7f4c5f3ff/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/CzqaeAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWiA_AtKAnEE","linkTemplate":"/video/preview/9734702389393103427?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Properties of Eigenvalues and Eigenvectors Problem 11 Engineering Mathematics Matrices","related_orig_text":"Alex Maths Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alex Maths Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WiA_AtKAnEE\",\"src\":\"serp\",\"rvb\":\"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_4N_gIA9QEDBQcF_QEUBfgG9QEBAPUA9fQDAv8A7fkQ_P3_AAALEP31_gAAAAMB-QXz_gEACPz1_fgAAAAV-Q_69wAAABcJ9gj-AQAA9Pv-_AMAAAAFDAkAAAAAAAAFCgMBAAAAAQoN_wAAAAAO9wb7AAEAACAALY2P2js4E0AJSE5QAiqEAhAAGvABf_TzAtzzBQH29eoAsTH6_58SC_8CIAkA3RMRAMH4zgDyB88AxfHr__gZAgDqGOf_adb6_g7dBABGxwgA_-vtANkiFAFS6ucAIQwLAP_01f_p-h_8CN78_wnf6__9A-kACfscAePyBAAf99cCLt8QAuj6JwMTCyAD880H_9wf6wDn9939_PcGBtzrB_nt8hYD9gQAAw4aFvrqHOsCFNMB_vT1GPoMEdYAHPP4Be3s9wXs_Pf79_wB-hAi6QXu-hcE9PghAsz_Afb7BQgACgYO_vTjAwH49O4DCAcDDAvi-wMF0gr1BwkBBfP5BgbkB_bvIAAteAApOzgTQAlIYVACKnMQABpgOPYAOhoy5R0BBeDfzvUFCcYSq0_5Af8N6f_9-_rPJibD_gQkABa3F9WjAAAANc7txQ8Atn_NuwT6ESQGz5XjHyB-9TIi2vguFs_lCRkUxCjs9QQ8AAfOkjo0Dq0bHhYxIAAtyQUWOzgTQAlIb1ACKq8GEAwaoAYAAEBCAAAUwgAAbEIAAEDAAADAwQAA0MEAAHBBAAAkwgAAAAAAAKDAAACQQQAAAEAAAJrCAACKwgAAHEIAADDBAACYwQAAAEEAAOjBAACQwgAAQMAAAIDBAABAwgAAgEAAAJhCAABYwgAAYMIAAHzCAACAQQAAMEIAAIC_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_AACQwQAAoEAAAODAAAAAAAAADEIAANDBAAB0wgAAQMEAANjBAABkwiAAOBNACUh1UAEqjwIQABqAAgAAbL4AAOC8AACOPgAAyL0AAHC9AADSPgAAEL0AAGW_AABwvQAAyL0AAII-AACavgAAFD4AADw-AAAMvgAAED0AAEQ-AADgPAAAoj4AAOY-AAB_PwAAyL0AAKY-AADgvAAAHL4AAIC7AADoPQAAiL0AAOg9AABsPgAAsj4AAPi9AABkvgAAED0AAFA9AAA8PgAAQLwAAMi9AACivgAA7r4AAIq-AAAMvgAAyD0AAOi9AABkvgAAyL0AAN4-AABkvgAA2L0AACS-AABQPQAApr4AAIg9AADYPQAAcL0AAIC7AABbPwAAyD0AALi9AACIPQAA4DwAAEA8AAAcPgAAML0gADgTQAlIfFABKo8CEAEagAIAABC9AABQPQAA2D0AACu_AACIvQAA2L0AAFw-AADovQAAiL0AAFQ-AACYPQAAPL4AABA9AABcvgAA-D0AAFC9AACgvAAAKz8AANg9AACuPgAADD4AAJi9AAAwvQAABL4AAIA7AADovQAAQLwAANg9AABQvQAAED0AADA9AACYPQAA4LwAAEC8AAAUPgAAcL0AADQ-AACaPgAAor4AABC9AABkPgAAmD0AALg9AACovQAAEL0AAAw-AAB_vwAAQDwAAIC7AABcvgAAgLsAAOA8AAAMPgAAgLsAAKA8AADYPQAAQDwAAIA7AABwPQAAgLsAAIA7AACYvQAA2L0AAPg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=WiA_AtKAnEE","parent-reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":716,"cratio":1.7877,"dups":["9734702389393103427"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1156836117"}},"dups":{"9489998559989784573":{"videoId":"9489998559989784573","title":"Divergence and curl Problem 3 Vector Calculus \u0007[Engineering\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Divergence and curl Problem 3 Vector Calculus Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=vFL19jMgHes","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vFL19jMgHes?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":167,"text":"2:47","a11yText":"Süre 2 dakika 47 saniye","shortText":"2 dk."},"views":{"text":"27,9bin","a11yText":"27,9 bin izleme"},"date":"21 mayıs 2021","modifyTime":1621555200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vFL19jMgHes?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vFL19jMgHes","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":167},"parentClipId":"9489998559989784573","href":"/preview/9489998559989784573?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/9489998559989784573?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18445844568789809864":{"videoId":"18445844568789809864","title":"Discrete and continuous random variables Problem 6 \u0007[Engineering\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Discrete and continuous random variables Problem 6 Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=QFLRk7bf6oM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/QFLRk7bf6oM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":666,"text":"11:06","a11yText":"Süre 11 dakika 6 saniye","shortText":"11 dk."},"date":"25 mar 2025","modifyTime":1742860800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/QFLRk7bf6oM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=QFLRk7bf6oM","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":666},"parentClipId":"18445844568789809864","href":"/preview/18445844568789809864?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/18445844568789809864?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13719045590235745589":{"videoId":"13719045590235745589","title":"Increasing & Decreasing Fuctions Concept \u0007[Engineering\u0007] \u0007[Mathematics\u0007] M1 Differntial Calculus","cleanTitle":"Increasing & Decreasing Fuctions Concept Engineering Mathematics M1 Differntial Calculus","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=t8mUzXzcV8E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/t8mUzXzcV8E?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":444,"text":"7:24","a11yText":"Süre 7 dakika 24 saniye","shortText":"7 dk."},"views":{"text":"37bin","a11yText":"37 bin izleme"},"date":"28 eki 2020","modifyTime":1603843200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/t8mUzXzcV8E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=t8mUzXzcV8E","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":444},"parentClipId":"13719045590235745589","href":"/preview/13719045590235745589?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/13719045590235745589?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15059781295272981419":{"videoId":"15059781295272981419","title":"\u0007[Engineering\u0007] \u0007[Mathematics\u0007] M1 - Differential Calculus - Limit of a Function Part 2","cleanTitle":"Engineering Mathematics M1 - Differential Calculus - Limit of a Function Part 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=yguigbLDSXY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/yguigbLDSXY?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDT082ZU5QVzIxTFpQN0lsYVJKUUI3UQ==","name":"Alex Maths","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Alex+Maths","origUrl":"http://www.youtube.com/@AlexMaths","a11yText":"Alex Maths. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2460,"text":"41:00","a11yText":"Süre 41 dakika","shortText":"41 dk."},"views":{"text":"35,9bin","a11yText":"35,9 bin izleme"},"date":"10 nis 2020","modifyTime":1586541878000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/yguigbLDSXY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=yguigbLDSXY","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":2460},"parentClipId":"15059781295272981419","href":"/preview/15059781295272981419?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/15059781295272981419?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2601011227379222978":{"videoId":"2601011227379222978","title":"Definite Integrals Problem 1 \u0007[Engineering\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Definite Integrals Problem 1 Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=892DXRK3qT4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/892DXRK3qT4?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":241,"text":"4:01","a11yText":"Süre 4 dakika 1 saniye","shortText":"4 dk."},"views":{"text":"20,7bin","a11yText":"20,7 bin izleme"},"date":"12 oca 2021","modifyTime":1610409600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/892DXRK3qT4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=892DXRK3qT4","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":241},"parentClipId":"2601011227379222978","href":"/preview/2601011227379222978?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/2601011227379222978?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6434818532153224123":{"videoId":"6434818532153224123","title":"Jacobians Problem 3 Functions OF Several Variables \u0007[Engineering\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Jacobians Problem 3 Functions OF Several Variables Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=-2r4e1W_NQU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/-2r4e1W_NQU?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":303,"text":"5:03","a11yText":"Süre 5 dakika 3 saniye","shortText":"5 dk."},"views":{"text":"89,9bin","a11yText":"89,9 bin izleme"},"date":"14 ara 2020","modifyTime":1607904000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/-2r4e1W_NQU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=-2r4e1W_NQU","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":303},"parentClipId":"6434818532153224123","href":"/preview/6434818532153224123?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/6434818532153224123?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17467014415368470948":{"videoId":"17467014415368470948","title":"Divergence and curl Problem 2 Vector Calculus \u0007[Engineering\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Divergence and curl Problem 2 Vector Calculus Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=refBl-c6tWQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/refBl-c6tWQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":444,"text":"7:24","a11yText":"Süre 7 dakika 24 saniye","shortText":"7 dk."},"views":{"text":"30,1bin","a11yText":"30,1 bin izleme"},"date":"21 mayıs 2021","modifyTime":1621555200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/refBl-c6tWQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=refBl-c6tWQ","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":444},"parentClipId":"17467014415368470948","href":"/preview/17467014415368470948?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/17467014415368470948?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5062930527980144230":{"videoId":"5062930527980144230","title":"Definite Integrals Problem 2 \u0007[Engineering\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Definite Integrals Problem 2 Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=lpEE3EeY73g","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/lpEE3EeY73g?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":193,"text":"3:13","a11yText":"Süre 3 dakika 13 saniye","shortText":"3 dk."},"views":{"text":"10bin","a11yText":"10 bin izleme"},"date":"12 oca 2021","modifyTime":1610409600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/lpEE3EeY73g?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=lpEE3EeY73g","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":193},"parentClipId":"5062930527980144230","href":"/preview/5062930527980144230?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/5062930527980144230?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10632523280972265974":{"videoId":"10632523280972265974","title":"How to Pass / Score \u0007[Engineering\u0007] \u0007[Maths\u0007] -1| How to Study \u0007[Engineering\u0007] \u0007[Mathematics\u0007]","cleanTitle":"How to Pass / Score Engineering Maths -1| How to Study Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WBo2YPxQHH0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WBo2YPxQHH0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":563,"text":"9:23","a11yText":"Süre 9 dakika 23 saniye","shortText":"9 dk."},"views":{"text":"168,6bin","a11yText":"168,6 bin izleme"},"date":"22 mar 2022","modifyTime":1647907200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WBo2YPxQHH0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WBo2YPxQHH0","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":563},"parentClipId":"10632523280972265974","href":"/preview/10632523280972265974?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/10632523280972265974?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2721010177361228548":{"videoId":"2721010177361228548","title":"Trigonometric Integrals Type 15 \u0007[Engineering\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Trigonometric Integrals Type 15 Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=D5XYR2t_b5U","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/D5XYR2t_b5U?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":460,"text":"7:40","a11yText":"Süre 7 dakika 40 saniye","shortText":"7 dk."},"views":{"text":"6,3bin","a11yText":"6,3 bin izleme"},"date":"12 oca 2021","modifyTime":1610409600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/D5XYR2t_b5U?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=D5XYR2t_b5U","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":460},"parentClipId":"2721010177361228548","href":"/preview/2721010177361228548?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/2721010177361228548?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10149791161489536342":{"videoId":"10149791161489536342","title":"Method of undetermined coefficients Problem 8 \u0007[Engineering\u0007] \u0007[Mathematics\u0007] M1 Differential equati...","cleanTitle":"Method of undetermined coefficients Problem 8 Engineering Mathematics M1 Differential equations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Lq1V5dFLc6g","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Lq1V5dFLc6g?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":697,"text":"11:37","a11yText":"Süre 11 dakika 37 saniye","shortText":"11 dk."},"views":{"text":"27,2bin","a11yText":"27,2 bin izleme"},"date":"6 ara 2020","modifyTime":1607212800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Lq1V5dFLc6g?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Lq1V5dFLc6g","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":697},"parentClipId":"10149791161489536342","href":"/preview/10149791161489536342?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/10149791161489536342?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14192361823800020771":{"videoId":"14192361823800020771","title":"Discrete and continuous random variables Problem 9 \u0007[Engineering\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Discrete and continuous random variables Problem 9 Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ww4PKOlbaW0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ww4PKOlbaW0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":120,"text":"2:00","a11yText":"Süre 2 dakika","shortText":"2 dk."},"views":{"text":"1,3bin","a11yText":"1,3 bin izleme"},"date":"25 mar 2025","modifyTime":1742860800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ww4PKOlbaW0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ww4PKOlbaW0","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":120},"parentClipId":"14192361823800020771","href":"/preview/14192361823800020771?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/14192361823800020771?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7782165745436700453":{"videoId":"7782165745436700453","title":"Properties of Eigenvalues and Eigenvectors Problem 5 \u0007[Engineering\u0007] \u0007[Mathematics\u0007] Matrices","cleanTitle":"Properties of Eigenvalues and Eigenvectors Problem 5 Engineering Mathematics Matrices","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=RBYpESYSnuw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/RBYpESYSnuw?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":132,"text":"2:12","a11yText":"Süre 2 dakika 12 saniye","shortText":"2 dk."},"views":{"text":"23,9bin","a11yText":"23,9 bin izleme"},"date":"22 ara 2020","modifyTime":1608595200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/RBYpESYSnuw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=RBYpESYSnuw","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":132},"parentClipId":"7782165745436700453","href":"/preview/7782165745436700453?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/7782165745436700453?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5890835218550184645":{"videoId":"5890835218550184645","title":"Definite Integrals Problem 3 \u0007[Engineering\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Definite Integrals Problem 3 Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=likj6oQcp8Y","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/likj6oQcp8Y?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":411,"text":"6:51","a11yText":"Süre 6 dakika 51 saniye","shortText":"6 dk."},"views":{"text":"7,5bin","a11yText":"7,5 bin izleme"},"date":"12 oca 2021","modifyTime":1610409600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/likj6oQcp8Y?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=likj6oQcp8Y","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":411},"parentClipId":"5890835218550184645","href":"/preview/5890835218550184645?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/5890835218550184645?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9742110011250459200":{"videoId":"9742110011250459200","title":"Increasing & Decreasing Fuctions Problem 3 \u0007[Engineering\u0007] \u0007[Mathematics\u0007] M1 Differntial Calculus","cleanTitle":"Increasing & Decreasing Fuctions Problem 3 Engineering Mathematics M1 Differntial Calculus","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=XV46Nz5-Gss","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/XV46Nz5-Gss?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":448,"text":"7:28","a11yText":"Süre 7 dakika 28 saniye","shortText":"7 dk."},"views":{"text":"12,2bin","a11yText":"12,2 bin izleme"},"date":"30 eki 2020","modifyTime":1604016000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/XV46Nz5-Gss?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=XV46Nz5-Gss","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":448},"parentClipId":"9742110011250459200","href":"/preview/9742110011250459200?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/9742110011250459200?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3818799195702633663":{"videoId":"3818799195702633663","title":"Definite Integrals Problem 4 \u0007[Engineering\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Definite Integrals Problem 4 Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=TCvexVdkybw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/TCvexVdkybw?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":362,"text":"6:02","a11yText":"Süre 6 dakika 2 saniye","shortText":"6 dk."},"views":{"text":"6,4bin","a11yText":"6,4 bin izleme"},"date":"12 oca 2021","modifyTime":1610409600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/TCvexVdkybw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=TCvexVdkybw","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":362},"parentClipId":"3818799195702633663","href":"/preview/3818799195702633663?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/3818799195702633663?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4240225065378560561":{"videoId":"4240225065378560561","title":"Properties of Eigenvalues and Eigenvectors Problem 13 \u0007[Engineering\u0007] \u0007[Mathematics\u0007] Matrices","cleanTitle":"Properties of Eigenvalues and Eigenvectors Problem 13 Engineering Mathematics Matrices","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=hMx6dWjv_Xo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/hMx6dWjv_Xo?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":179,"text":"2:59","a11yText":"Süre 2 dakika 59 saniye","shortText":"2 dk."},"views":{"text":"20,8bin","a11yText":"20,8 bin izleme"},"date":"22 ara 2020","modifyTime":1608595200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/hMx6dWjv_Xo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=hMx6dWjv_Xo","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":179},"parentClipId":"4240225065378560561","href":"/preview/4240225065378560561?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/4240225065378560561?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9734702389393103427":{"videoId":"9734702389393103427","title":"Properties of Eigenvalues and Eigenvectors Problem 11 \u0007[Engineering\u0007] \u0007[Mathematics\u0007] Matrices","cleanTitle":"Properties of Eigenvalues and Eigenvectors Problem 11 Engineering Mathematics Matrices","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WiA_AtKAnEE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WiA_AtKAnEE?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZmlEY0FVSV9ReFY5V2ItWWFDal9adw==","name":"Alex Maths Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Alex+Maths+Engineering","origUrl":"http://www.youtube.com/@AlexMathsEngineering","a11yText":"Alex Maths Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":148,"text":"2:28","a11yText":"Süre 2 dakika 28 saniye","shortText":"2 dk."},"views":{"text":"17,7bin","a11yText":"17,7 bin izleme"},"date":"22 ara 2020","modifyTime":1608595200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WiA_AtKAnEE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WiA_AtKAnEE","reqid":"1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL","duration":148},"parentClipId":"9734702389393103427","href":"/preview/9734702389393103427?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","rawHref":"/video/preview/9734702389393103427?parent-reqid=1769409175755758-17928155250448127281-balancer-l7leveler-kubr-yp-sas-132-BAL&text=Alex+Maths+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"9281552504481272817132","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Alex Maths Engineering","queryUriEscaped":"Alex%20Maths%20Engineering","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}]]>