{"pages":{"search":{"query":"Math at Andrews University","originalQuery":"Math at Andrews University","serpid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","parentReqid":"","serpItems":[{"id":"171399276675563473-0-0","type":"videoSnippet","props":{"videoId":"171399276675563473"},"curPage":0},{"id":"7799593971838374582-0-1","type":"videoSnippet","props":{"videoId":"7799593971838374582"},"curPage":0},{"id":"12807616308404051814-0-2","type":"videoSnippet","props":{"videoId":"12807616308404051814"},"curPage":0},{"id":"5326237587561777156-0-3","type":"videoSnippet","props":{"videoId":"5326237587561777156"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dE1hdGggYXQgQW5kcmV3cyBVbml2ZXJzaXR5Cg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","ui":"desktop","yuid":"5404911581765304911"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"9114219467830694374-0-5","type":"videoSnippet","props":{"videoId":"9114219467830694374"},"curPage":0},{"id":"8466280205115452781-0-6","type":"videoSnippet","props":{"videoId":"8466280205115452781"},"curPage":0},{"id":"4502162333794522326-0-7","type":"videoSnippet","props":{"videoId":"4502162333794522326"},"curPage":0},{"id":"15168831732761175421-0-8","type":"videoSnippet","props":{"videoId":"15168831732761175421"},"curPage":0},{"id":"17780468124350247335-0-9","type":"videoSnippet","props":{"videoId":"17780468124350247335"},"curPage":0},{"id":"8977089048115054918-0-10","type":"videoSnippet","props":{"videoId":"8977089048115054918"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dE1hdGggYXQgQW5kcmV3cyBVbml2ZXJzaXR5Cg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","ui":"desktop","yuid":"5404911581765304911"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"9597094760586391121-0-12","type":"videoSnippet","props":{"videoId":"9597094760586391121"},"curPage":0},{"id":"1383098846963827730-0-13","type":"videoSnippet","props":{"videoId":"1383098846963827730"},"curPage":0},{"id":"8619159631876978402-0-14","type":"videoSnippet","props":{"videoId":"8619159631876978402"},"curPage":0},{"id":"12067526648332006651-0-15","type":"videoSnippet","props":{"videoId":"12067526648332006651"},"curPage":0},{"id":"1548711641101582479-0-16","type":"videoSnippet","props":{"videoId":"1548711641101582479"},"curPage":0},{"id":"14744785373485311899-0-17","type":"videoSnippet","props":{"videoId":"14744785373485311899"},"curPage":0},{"id":"17426943270096949628-0-18","type":"videoSnippet","props":{"videoId":"17426943270096949628"},"curPage":0},{"id":"17634302264012517171-0-19","type":"videoSnippet","props":{"videoId":"17634302264012517171"},"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":"dE1hdGggYXQgQW5kcmV3cyBVbml2ZXJzaXR5Cg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","ui":"desktop","yuid":"5404911581765304911"}}},"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%3DMath%2Bat%2BAndrews%2BUniversity"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"9592575066721537077288","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":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-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_nohost_full_filter_onboarding_enable":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_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_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,"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":["1281084,0,25;287509,0,77;927444,0,94;1296808,0,32;912288,0,3"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMath%2Bat%2BAndrews%2BUniversity","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=Math+at+Andrews+University","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":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=Math+at+Andrews+University","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Math at Andrews University: 2 bin video Yandex'te bulundu","description":"\"Math at Andrews University\" sorgusu için arama sonuçları Yandex'te","shareTitle":"Math at Andrews University — Yandex video arama","keywords":"yandex video, video araması, çevrimiçi izle, dizi, film, müzik klipleri","hasPorno":0},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y3562670d86f8246c18777c5c3f70ba57","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1281084,287509,927444,1296808,912288","queryText":"Math at Andrews University","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"5404911581765304911","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1441146,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1765305079","tz":"America/Louisville","to_iso":"2025-12-09T13:31:19-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-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":"1281084,287509,927444,1296808,912288","queryText":"Math at Andrews University","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"5404911581765304911","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":"9592575066721537077288","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"enableSlowBufferingAlert":false,"enableSlowBufferingAlertDedup":false,"userConnectionRtt":160,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"forceSlowBufferingAlert":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"useSendBeacon":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,"isIslandsDisabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":false,"isCommentsEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":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":"5404911581765304911","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1729.0__491d2077c35fc53c28577367d9c4833c662b0670","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":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"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":{"171399276675563473":{"videoId":"171399276675563473","docid":"34-4-1-ZE65024921334404B","description":"Learn about the department of mathematics at Andrews University: https://www.andrews.edu/cas/math/ With the ability to easily pair math with another discipline, a new program in data science, and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1965759/aceda945c1a674ba7619ccffa4f68ec5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/cqB1qgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dy48VBJ5fVgI","linkTemplate":"/video/preview/171399276675563473?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math at Andrews University","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=y48VBJ5fVgI\",\"src\":\"serp\",\"rvb\":\"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_QL7BQAC_wUBDQX-AQAD__j5_v4A7vjx_AUAAAD7APj__AAAAAII-fz4AAAA9gf4EP7_AAADC_f_AwAAABUL8_oAAAAABgv6_f4BAADv9P0LA_8AAAcCBfj_AAAADQD9-___AAAIFQb-AAAAAAv-_gEAAAAAIAAtWULiOzgTQAlITlACKoQCEAAa8AF_Cg0D3e0a__H9_gDxE-4AyOwFAC0VAv_vAPYBqNv4_-AgLQDS5iD_OgcRAcsgFQES4en_I_kLAP_9DwA39gX_3x0RASoADgEX3-cAA-HhAfPtFP8HDt__CewKAS0Y_P_19wf-FhABABzs9QEYC_EBKRj5AAju9f8t8w4A4wXeAPHnAgEAFvb9CBT2_-b8Dvvy6PkE_BDv__kKBwMq5gMA6fMRAOj28_8b7wX8__YC_frY_vsxEAAA9_D-_fQJ_wTt9BL64vrrCQ78_Ar19Pz8AhADBfALCQfwB_8LCwcM_BQQBAQCAQoB-vkOCv_l-QggAC1p6kY7OBNACUhhUAIqcxAAGmATDAAn1igk4vsH4tHNxen-wiL0EeTu_wAA_w4N1QoIBdmwAOwAEckv5KwAAAAuH__zGADDfQOm9DX9H9UQ2C8eAX_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-EEAAAzCAAAswgAAQEEAAJzCAAAQwQAADMIAAODAAAAswgAAuEEAADDBAACgwAAARMIAAADAAACaQgAAOEIAACDCAADAQQAAhsIAAHxCAACAQAAAyEEAAL5CAAAgQQAAcEIAAHBCAAAAwAAAUMEAACBCAACswgAAiMEAABjCAAAEQgAAJMIAAIDAIAA4E0AJSHVQASqPAhAAGoACAAB0PgAAbL4AAOi9AACIPQAAML0AAP4-AADSvgAAOb8AAKi9AADYvQAAgDsAAM6-AAAwPQAAxj4AAIA7AAB0vgAAJT8AADA9AAD4PQAAHz8AAH8_AAD4PQAAZD4AAEw-AABEvgAALL4AAIC7AADmvgAAgDsAAMg9AACSPgAA4DwAACw-AAAkvgAABD4AAOg9AACgPAAAsr4AALK-AAB8PgAALL4AACy-AAD4PQAAkj4AAFA9AAC-PgAAnr4AAES-AADuvgAARL4AAJq-AAC-vgAAnj4AAOY-AABAPAAARD4AAGE_AADYvQAAZL4AAL4-AABQvQAABz8AAFA9AABQvSAAOBNACUh8UAEqjwIQARqAAgAAyD0AABS-AABUvgAAI78AAKq-AAAcPgAAdD4AAIY-AABQvQAAQDwAALi9AABcvgAAqL0AALi9AAAwPQAAED0AADw-AAD2PgAAML0AAAk_AAAcPgAAXD4AAIa-AADIvQAAEL0AAOC8AABwvQAAUL0AAFC9AADIPQAA4DwAAOA8AABMPgAAJL4AAMg9AACovQAADD4AAEA8AABcvgAALD4AAEQ-AAAQPQAAUD0AABC9AAAUvgAABD4AAH-_AAAQPQAALL4AAEy-AABwvQAABD4AAFC9AADYPQAAbD4AACw-AAAQvQAAEL0AACQ-AADYPQAAoDwAAJi9AAC4vQAALD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=y48VBJ5fVgI","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["171399276675563473"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7799593971838374582":{"videoId":"7799593971838374582","docid":"34-0-6-ZD69AA2277A9DE5EC","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu We give the general formula to find the area under a graph as a limit of a Riemann sum.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2743364/ee6bffea02205184fd000c8197a3ca82/564x318_1"},"target":"_self","position":"1","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D14cDK6JGakg","linkTemplate":"/video/preview/7799593971838374582?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 71: Riemann Sum, Area under 2x-x^2","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=14cDK6JGakg\",\"src\":\"serp\",\"rvb\":\"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_E6AGggQkAYAEKyqLARABGniB9Aj7B_0DAPnuCQkGB_wBBgf4APf__wD4_f4DBQL_AO_8APT5AAAA7f3-9AcAAAD6B_sH-_4AABP69PUDAAAAB_Tz9f8AAAANB__6_gEAAAby__0C_wAAB_sGC_8AAAD7B_77BvoB__v0_wkAAAAA_wL9APv1_gAgAC0jP9w7OBNACUhOUAIqcxAAGmAUCgAK-_bxtx4N58vm3g_a_-jlz_3f_yfMAPES2-8fCMG5Bv___-7v5bIAAAAx2_T4NwDqZP0P2zkLGCMYCMn6_n_-HdjVAALb6M3-oQ7yEQjq9yQAwQXkDifG30PVRg0gAC1KCzQ7OBNACUhvUAIqrwYQDBqgBgAAIEEAAHBBAACAQgAAAMIAAADBAAAQQQAApEIAAMDAAAB0wgAAmMEAAOjBAACQwQAAIMIAANjBAAAkQgAAUMEAAGBBAAAAwgAA4MAAACzCAACgwQAA2MEAABTCAACcQgAAQEEAAGDBAACewgAAUMEAADBCAACYQgAAgMAAAKjBAABAwgAACEIAAKbCAACIwQAA8MEAAIRCAADgwAAAwEAAAMhBAADowQAAsEEAAKDAAACoQQAAMMEAADDBAACAQAAAhEIAAHDBAACgwQAAoEAAAEDBAAAMQgAAYMIAAIDCAAA4wgAAiEEAAEzCAACYQQAAgkIAAEDCAAAIwgAAFMIAAKBAAAAcwgAAgEEAAMzCAAAEQgAAyMEAAExCAABkQgAAbMIAAJxCAAAAQQAA6MIAADTCAADgQAAAAAAAAKjBAACywgAAIEIAANDBAADwQQAAEEIAAHRCAACEwgAAAAAAAKhCAADAQQAAYEEAAGhCAAAAQAAAJMIAAHDBAABowgAANEIAAKDAAAAUQgAAoEEAAEDCAAC4QgAAUEEAAGDBAACswgAA-EEAAABBAAA4QgAAgMEAAM5CAAAwQQAAZEIAACBCAAAIwgAAgD8AAJRCAABAwAAAIMIAAAAAAAAUwgAAsMEAAADAAADYwQAA4MEAAAhCAABwQgAAAEEAAEzCAACAwQAAAEEAAKDAAAAowgAAEEEAAExCAAAAAAAAjsIAAKhBAAAcwgAAkMIAAIbCAADgwAAA6EEAACBBAACoQQAAwEAAAIA_AABMwgAAcEEAAEDAAACAvwAAwEEAAHBBAADgQQAA4MEAAABBAAAwwQAAaMIAAIjCAABkwgAAaEIAAIrCAABAwQAAgD8AABTCAACAQQAAUEEAADxCAABsQgAAKEIAAJjBAADgQQAAoEAAAAAAAABAwAAAMEEAAIA_AACAQAAAQMAAAChCAACsQgAAVMIAALjBAAAAwgAAYMEAAABCAABEwgAAJMIAAJBBAACgQQAAKMIAALDBAADAwAAAcMEAABxCAADwQQAAqEEAAMDAAACAPwAAhsIAAGDBIAA4E0AJSHVQASqPAhAAGoACAACqPgAAiD0AAIA7AAC4PQAAHL4AAFQ-AADIvQAAD78AACS-AABMPgAA4LwAACQ-AACovQAAqj4AAJK-AACCvgAAHz8AAHA9AAD4PQAAGT8AAH8_AABUvgAA4DwAAAw-AACivgAAnr4AALg9AACovQAAjj4AABw-AACIPQAAZL4AAKA8AACIvQAAyD0AABC9AAAQPQAAiD0AAHS-AADGvgAAND4AAPg9AACoPQAAUL0AAIq-AADgPAAA4DwAADS-AACoPQAAsr4AAMi9AACuPgAAgDsAAGQ-AACOvgAA4DwAAEc_AACoPQAAQLwAABA9AACSvgAA2L0AAEw-AACGviAAOBNACUh8UAEqjwIQARqAAgAANL4AAIA7AACAOwAATb8AADA9AAAsPgAAdD4AAKA8AABAvAAAyD0AAAQ-AACgPAAAuL0AAJi9AACoPQAAED0AANi9AAAHPwAA-L0AAOo-AACAuwAAuD0AAOi9AABEvgAAMD0AAPi9AAAMvgAAED0AANi9AACgvAAAgDsAAPg9AACAuwAAir4AAOg9AAA8vgAAUL0AALg9AABcvgAAUD0AABC9AAA8vgAA2L0AAIi9AABwvQAAVL4AAH-_AAAMPgAAgj4AAHA9AAAwPQAAoDwAABS-AAAkPgAA-D0AAOg9AACIvQAATL4AACQ-AABQPQAAMD0AAES-AACCPgAAPD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=14cDK6JGakg","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7799593971838374582"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12807616308404051814":{"videoId":"12807616308404051814","docid":"34-8-6-Z87E2A3149893925F","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu If you throw a ball into the air, how high up will it go? And how long will it take before...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/923212/a451a6c90e12e9d1ff7954f1e959c1a1/564x318_1"},"target":"_self","position":"2","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DLYgbI0d29ik","linkTemplate":"/video/preview/12807616308404051814?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 66: Physics Application of Antiderivatives","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=LYgbI0d29ik\",\"src\":\"serp\",\"rvb\":\"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_QQA-PsU_f0E_wEOAxIA9wEAAO4J8QAEAAAAAfkA9_oBAAD-BgQKBAAAAPf49wQB_wAAE_r09QMAAAATAAUE_AAAAAkQ-w7-AAAAAfnyAwP_AAAPAAj7_wAAAP8C_v_9Af8A6_8HAQAAAAAHAvINAAAAACAALZN52zs4E0AJSE5QAipzEAAaYBMEAC4L2PTbHx_r7uapBfPoy9n14RD_--kA_A3ZDvYd9cgfA_825QYKugAAAAMO6BQBAPtYq_bW-xETGdX29Q00fxgZ5QkbAfHU8QbxEhD58gsFNwC68wUZ6O3KSO8_9iAALQ0jRTs4E0AJSG9QAiqvBhAMGqAGAADAQQAALEIAALBCAADgwAAAFMIAAFhCAABcQgAAAEEAAFzCAADwwQAAmMEAAJDBAAAgwgAAWMIAACRCAADgwQAAGEIAAAzCAACgQAAAPMIAAFDBAAAwwQAAYMIAAMBCAACQQQAAEMIAACzCAACIwQAA0EEAAJhCAAAwwgAAAMEAAPDBAABAQQAAKMIAAIA_AAAAAAAAkEIAAIC_AAAgQQAASEIAAETCAADgQAAAoMAAACxCAAA8QgAAgD8AAAjCAABAQgAAIEEAAFTCAACAQAAA-EEAAEBBAAAswgAAhsIAAADBAAAUQgAA6MEAACBCAACYQgAAcMEAAFDBAAAAwAAAQMAAAFTCAAAgwQAA3sIAACBCAABAwQAAAEEAAI5CAAA0wgAAdEIAACxCAACawgAAdMIAADRCAADAwQAAFMIAAOjCAACoQQAA4EAAAPhBAAAAAAAAiEIAAJjCAADQQQAAbEIAAJBBAADwQQAAyEEAACBBAAC8wgAAAAAAAETCAABgQQAAAMEAAMDAAADowQAAcMIAACRCAABwwQAAKMIAAIrCAACwQQAAgEAAADBCAACIQQAAskIAAIDBAAAcQgAAfEIAAODBAADAwAAAjkIAAADBAAAAQQAAqEEAADDBAAAgQQAAQMAAACjCAABQQQAAhEIAABhCAAAAQQAAAMEAAIDBAADAwAAAAAAAAADBAACAQAAAlEIAAKjBAAA0wgAAQEEAAIDBAAC4wQAAMMIAACDCAAB4QgAAEEIAAIA_AABAQAAAeEIAAIDBAABgQQAAyEEAAJDBAACgQAAAIMEAAIhCAAA4QgAAWEIAAADBAACOwgAAUMEAAIDCAAAQQgAAmMIAAHDCAACAPwAAoEEAAGBBAABUQgAAREIAAEhCAABAQQAA2MEAAFBBAADwwQAAAMAAACDCAABQQgAAMEEAAATCAABswgAAJEIAAJxCAACgwQAAPMIAANDBAAAgwgAAgEIAAGDCAACAQAAAHEIAAADAAAAQwQAAoEEAADDBAAAwwgAAQEEAAABBAAAAAAAAyMEAADBBAAAAwgAAYMEgADgTQAlIdVABKo8CEAAagAIAAJi9AACAOwAALD4AAIi9AADoPQAArj4AAFw-AABXvwAARL4AAMg9AAA0vgAALL4AAFA9AAAcPgAAur4AAMi9AADaPgAAED0AAAQ-AAAvPwAAfz8AAHS-AADgPAAATD4AAMK-AABUvgAArj4AALK-AACSPgAAbD4AANg9AAC4vQAAUL0AAFC9AABQvQAAgDsAABC9AAAMvgAA4LwAAJK-AADevgAARD4AAEQ-AAAkvgAAsr4AAFA9AACAuwAAsr4AAIq-AACWvgAAML0AAIo-AACovQAALD4AAKq-AAAkvgAAbz8AAKg9AAAQPQAAij4AAIK-AADgvAAAyD0AAKC8IAA4E0AJSHxQASqPAhABGoACAACCvgAA4DwAAAS-AABHvwAABD4AABw-AAAcPgAAoDwAAOi9AABwPQAAgLsAAPi9AAAkvgAABL4AAIC7AACgvAAAoLwAAO4-AABkvgAAxj4AAMi9AACoPQAAcL0AAHy-AACIPQAAqL0AAAS-AAAEvgAAyL0AALg9AADIPQAADD4AAAS-AAC4vQAAiD0AAIa-AABAPAAA2D0AAHy-AABwPQAAEL0AAAS-AACAuwAAMD0AAHS-AADgvAAAf78AABA9AAAQvQAALD4AACw-AACYvQAAPD4AAPg9AABQPQAAgLsAAIA7AAC4vQAAoDwAAEC8AAAwvQAAmL0AANg9AACIPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=LYgbI0d29ik","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12807616308404051814"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"5326237587561777156":{"videoId":"5326237587561777156","docid":"34-4-12-Z6A68CFE623029F43","description":"First lecture in series on differential geometry. Taught by Dr. Yun Oh of the Andrews University mathematics department. Learn more about math at Andrews: https://www.andrews.edu/cas/math...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4286047/85a432553bcf8e3b724d1392cce84a7a/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/v9mwvgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DfJsEnmUuUtM","linkTemplate":"/video/preview/5326237587561777156?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Differential Geometry 1: Local Curve Theory","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=fJsEnmUuUtM\",\"src\":\"serp\",\"rvb\":\"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_E6UVggQkAYAEKyqLARABGniB-wQBAv4DAO_-8ggCA_8BGfsG__YCAgDtAvwEAAAAAPXwCfz-AAAADQUEBgMAAAAM__wB_v8BAAsN-wIFAAAADvz8BvsAAAAWBvb5_gEAAPz4Av8C_wAAC_b7__8AAAAA__H8AAAAAPkJ-v8AAAAADPUR_gABAAAgAC2ddds7OBNACUhOUAIqhAIQABrwAX8JIAHiD8cC-grvAPsU_AH1Nx7__TLUALQP6gDb8cQB1xwFANQT5v8XAOsArSPWAAX43v_s4vsAOd78AB7PAgDxBBcBGwMCAzoSK_8N7d0A5gTrABPmDv_03LcA2znv_PPx5P8A_-wA7gPEAhYDHQHt_gkFDf0D_PLIB__VFQIBBRrQAAww9AIX9hb81O0dAgntFAURF_v9vg_mAREDE_kO2Az8AA71BTrO-gQGFgv9AMcGB_wB6ATl-B4B0wjU_eLKJAbN6fD86uj8_Q_8Af_lEfEIINvpAvv0CvwADAb8HuEOCwrzAPYVAuP4CgPv-SAALezmGTs4E0AJSGFQAipzEAAaYD_4AC4FFfgsGybd-LzyLtyeC-4MtQj_9eT_-ijzEAgSvdnzDgBJ0hTYogAAAEQIFxvsAP5_0NkoFesUCuqk1Rw1Q-An-ryjHea8r_w9Ld_5Ji4EMwDyAaQFGt_QDjg98SAALdhNGzs4E0AJSG9QAiqvBhAMGqAGAABEQgAAMMEAADhCAAAAAAAAAMIAAFRCAAD-QgAAwMEAABDBAAAEwgAAMMEAAOBBAABowgAAQEEAAAxCAAAQwQAAFEIAAOBAAAA4QgAAsMEAADBBAAAEwgAAXMIAAEBAAACQQQAAqEEAAIbCAAAQwQAAuEEAAI5CAADowQAAUEEAAPDBAADQQQAAssIAAIA_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-AABcvgAACz8AAOi9AAAfvwAADL4AABQ-AABwvQAAdL4AABQ-AACSPgAAbL4AAIq-AAAhPwAAyD0AACw-AADyPgAAfz8AANa-AACIPQAAMD0AAIa-AAD4vQAAXD4AAKK-AAAsPgAAsj4AAGQ-AAAkvgAAEL0AABQ-AAAcPgAAfD4AABy-AADmvgAAhr4AACS-AAAsvgAAFL4AAJI-AAD4vQAAfD4AABy-AAC2vgAAFL4AABe_AADSvgAAgr4AANi9AACaPgAAND4AAJg9AACgPAAAUT8AADC9AAAQvQAAmj4AAJg9AAAMvgAAED0AABA9IAA4E0AJSHxQASqPAhABGoACAABEvgAAiD0AADS-AAAzvwAA6L0AAIC7AADKPgAAUD0AAJg9AAAwvQAAEL0AAIq-AADYvQAAyL0AANg9AABQvQAAqL0AABE_AABkvgAA0j4AAPg9AAA8vgAAJL4AAEC8AACoPQAABL4AAEA8AAAwPQAAmD0AALg9AADgPAAA4DwAAFS-AABwvQAA4DwAADy-AABwPQAAML0AAHy-AABMPgAAiD0AACS-AAA8PgAAiD0AAFC9AAAwPQAAf78AAEA8AABsvgAABL4AAPi9AAAMPgAAMD0AAJi9AACoPQAADD4AAHC9AABcPgAAPD4AAJg9AADYPQAAUL0AAIA7AACAuyAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=fJsEnmUuUtM","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["5326237587561777156"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9114219467830694374":{"videoId":"9114219467830694374","docid":"34-7-16-Z0F3EE07FBDD2A27B","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu We give an example of finding the area of a region where it is simpler to integrate along...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1817150/91e40084ba2a55ca1204e7339a0bf8c7/564x318_1"},"target":"_self","position":"5","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DkyLSZDimJLY","linkTemplate":"/video/preview/9114219467830694374?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 87: Area between Graphs by Integrating along y-axis","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=kyLSZDimJLY\",\"src\":\"serp\",\"rvb\":\"EqwDChIxNzEzOTkyNzY2NzU1NjM0NzMKEzc3OTk1OTM5NzE4MzgzNzQ1ODIKFDEyODA3NjE2MzA4NDA0MDUxODE0ChM1MzI2MjM3NTg3NTYxNzc3MTU2ChM5MTE0MjE5NDY3ODMwNjk0Mzc0ChM4NDY2MjgwMjA1MTE1NDUyNzgxChM0NTAyMTYyMzMzNzk0NTIyMzI2ChQxNTE2ODgzMTczMjc2MTE3NTQyMQoUMTc3ODA0NjgxMjQzNTAyNDczMzUKEzg5NzcwODkwNDgxMTUwNTQ5MTgKEzk1OTcwOTQ3NjA1ODYzOTExMjEKEzEzODMwOTg4NDY5NjM4Mjc3MzAKEzg2MTkxNTk2MzE4NzY5Nzg0MDIKFDEyMDY3NTI2NjQ4MzMyMDA2NjUxChMxNTQ4NzExNjQxMTAxNTgyNDc5ChQxNDc0NDc4NTM3MzQ4NTMxMTg5OQoUMTc0MjY5NDMyNzAwOTY5NDk2MjgKFDE3NjM0MzAyMjY0MDEyNTE3MTcxChQxNTExNjkzNjE2MjI5MjExMzE1NwoUMTA2MjM0NDU0NDQ4MDI1OTA2ODQaFQoTOTExNDIxOTQ2NzgzMDY5NDM3NFoTOTExNDIxOTQ2NzgzMDY5NDM3NGquDRIBMBgAIkQaMAAKKWhodmJ3eGFjem50d2ZvZGhoVUNmSDBKWjd3VnJKQmVWVVpsNnZrdmd3EgIAESoQwg8PGg8_E84EggQkAYAEKyqLARABGniB-AkPAQAAAAP-C_r9A_8BCgn_9_YAAADoBwEN_f8BAPj09u7_AAAA7gkAAQAAAAD-Ce4C9v4BACIL_AAEAAAAD_r89PUAAAAPDfwDEv4BAfX_8wID_wAAAgoEBQAAAAAB-gEA__8AAAUCBwkAAAAA-__6BgAAAAAgAC3KANE7OBNACUhOUAIqcxAAGmAFBAA5DAgOuRwS1d7c4Av579jr1tz5_wXpAAH--OkPGburFQb_KQLy7rIAAAALCvkWJwAKZffvuAb7DAoD6tsqLn8VJff59wnT6sgHyfvnBdMoDT8ApRLq6yDh7l7hFtsgAC2FgzY7OBNACUhvUAIqrwYQDBqgBgAAoMAAAIC_AACWQgAAmMEAAIhBAACQQQAAaEIAAADBAAAkwgAAaMIAADDBAABAQgAAlMIAAGTCAAA8QgAA4EAAAIC_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_AADIQQAAEEEAAHjCAABcwgAA8EEAAKjBAAD4wQAAgD8AABRCAAAYQgAATMIAAERCAAAswgAAwMIAAKjBAACAwAAAwEAAAODAAAAoQgAAIEIAAIDAAAAUwgAAUEEAAMBAAADIwQAAdEIAAARCAAAAQgAAisIAAPhBAABQQgAAbMIAALbCAABgwQAAfEIAAJDCAACAQAAAAMEAAAzCAAAAQgAAIEEAAHBBAAAUQgAAEEIAAEBAAAAMQgAAQMEAAIbCAAAAwQAAEMEAAEDAAAAgQQAAYMEAAABAAACkQgAAAAAAAEDBAAAYwgAAmEEAAKBBAAAowgAAlMIAAIhBAADgQAAATMIAALjBAACAQAAAsEEAAOBBAABwQgAAAMAAAOhBAADAQAAAGMIAAHBBIAA4E0AJSHVQASqPAhAAGoACAACYvQAAEL0AABS-AAAQvQAAEL0AANo-AABwvQAAF78AADC9AAAEPgAAxr4AAKa-AAAwPQAAqD0AAEy-AABUvgAAAT8AABC9AACAuwAALT8AAH8_AAAcvgAAmD0AAIg9AADovQAAyL0AAFw-AAAEvgAAwj4AAAw-AACoPQAAHD4AANg9AADgvAAAUD0AAFC9AABAPAAAMD0AAAS-AAD2vgAA4LwAADw-AACOPgAAqL0AAKi9AAAQPQAA-L0AAIa-AAC2vgAAvr4AADy-AABsPgAAbD4AAMI-AACKvgAAgLsAAC0_AACGPgAAmD0AADw-AACKvgAARD4AANg9AABkviAAOBNACUh8UAEqjwIQARqAAgAAur4AAHA9AADIvQAASb8AABC9AAAkPgAApj4AAJg9AABAPAAAED0AAIC7AACIvQAAJL4AAIi9AABUPgAAED0AADC9AADKPgAAZL4AAM4-AACIvQAALD4AADy-AAC4vQAAgDsAABC9AABsvgAAUL0AABS-AADovQAAgDsAAPg9AABAPAAAlr4AADQ-AACovQAAVD4AAEw-AAA8vgAAQLwAACS-AACIvQAAuL0AAKA8AABQPQAAfL4AAH-_AACoPQAA4DwAALg9AAA8PgAAoDwAAGQ-AAAsPgAAgLsAANg9AACIvQAAgr4AACw-AAAwvQAA-D0AAHA9AABsPgAAJD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=kyLSZDimJLY","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9114219467830694374"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8466280205115452781":{"videoId":"8466280205115452781","docid":"34-5-3-ZE0F8BD20D3E5A036","description":"Second lecture in series on differential geometry. Taught by Dr. Yun Oh of the Andrews University mathematics department. Learn more about math at Andrews: https://www.andrews.edu/cas/math...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3445633/272e8caf8d4cf4bb18e92da23d2a6aea/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Rejk_wAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DQHXzTXgXkng","linkTemplate":"/video/preview/8466280205115452781?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Differential Geometry 2: Curvature","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=QHXzTXgXkng\",\"src\":\"serp\",\"rvb\":\"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_E9kVggQkAYAEKyqLARABGniB_QL7-fwEAPYE9w0GBvwBBvYA-vn-_gDp-_z-BP4BAPjt_wYHAAAAAgf_Av0AAAAL__wB_v8BAAoQ_QwEAAAABvr-__oAAAAWBvb6_gEAAPsAAv0D_wAAA_QA__8AAAD8A_gC_wAAAPUQ_v4AAAAAD_0JBAAAAAAgAC2I7947OBNACUhOUAIqhAIQABrwAX8dHwHbDd8ADgjaANLx8AKrKyL__THVAKkA4wC9Hu8A_hf0ANfn4wEWCwv_uhLu_xLbuAL08hQAK74LAh3n7wDjEgQBIPAEASoALAEd8uQBAQcP_hHRBwD03LcA3x_u_wHxBf7m_NsDCuy8CDLwHgL5ASQFGOkH_wHmHf3ZIekA9_vfAPsS5f0D1__55QgN_fjrCgX3GvX5vw_mAQnmBQMO2Qz8AxjlBRzdBAIF_Pv-5AP_BNvg-QAgEBLz7ij3CPvqF_7I_wH28tsAAh_r_Q_SF-j5E-H6CQcNFwPxCgUE_9bnB_n6_u7tAPgSGgDw7yAALePrGzs4E0AJSGFQAirPBxAAGsAHStTrvspAVDwlrqM8F6mkuvWDij1q0z2946C5vRxtizxeBSO8mDDaPQUgpLwe1mU8dqU1vn0KW7yK0pg7xVWFPlQwb72bfyq8cT1avucWvz2FTKi8t7IkvikVwzxE0GK8Oz1KPEEYLjwYYzs8oOLYPWE8nrzFT4i8zvoUPamVE72UOVG9sZzOvJecSby27WC9zocMPSUyPbzMndM7dzHtPY8AKb12lhE8DB6GPd-qKTvk7RA8fc-ovfbaBzz0QBi8af4oPotd0ztHCys8b4dhPKoKbb3inp27g76UvVP9FDvbY868Y15sPDsODT0tTuu8ezJaPSIWVrxc2yW8rfkBvlSlkjwh0d87JxcTPk_Vcz0VqbA8rvQqvm3F3j2K1Au7sTgXPSoLNT3Ay8y8APKEPYkrAj34Ky48N5kivVOIkTyGa5q84OwAveBYhjydOdo8bJwIPWZxVT0L1KK8lz0kPUEr8jtPwpa7rBQnvfKrHj3Y7y68Bx4EO_Z4xjw8GM67871QPSJrETzWbn07RPO1PdjU2b06cSC8dfhVvcH-K70XKn-8IrCYPRbGcTwju3e8i8ucPaQXer1feEq84W9lPaGGL706apq7i2o2PUL7hbvSP1o7mT6FvGKg67yg3pC7v2unuzrDuTzWNX-8nfiou-mRcD1V50W70E8nvXeihL2h94Q61bx5PZt9-jmC0DQ7UpNFPc78arw6ZtG78WhjPfZuYr3Btym6BMomvb13bbtN5oo6J70PvR0gmDwETIk77q8OPp8Skb1-0JQ5SqFnPekHmjzzGic51uynveD7djz5OyQ5T37mOyhjabqaX3s4JTIdvZUQjL3SI6k4sZZxvH5zWrz3_zM7vJQ6PYo_yjwFIOE3tPsaPa8iA70XZjC54q3zPN6wCD2gE8O4FtIrPbwwYz1L4sA2SFl6vSQmKLz1Fw653c_pvHfkfry_NrW4JCNsPcBJKru8BXA4QfEDPXFPwb3XOHs5cxgGPE6WPz3W3JM36X_7uvZ61z0rdK-2s9NKPa2djztETPa2Z2dsPQVN671fJjU4yaqNPSOe7DrQ47Y4SlGovWNu7Tz7BT44QNXNPAriUTsCDso3jWzdPICwPb3bamw4Pw-PvceMJrwU4qS3weMrPtylaLwHiXS59cOvuWwb67yy5YC4YzNWPXZRtL0_m504MguzvRL-QD2ycrY3HZcMPUkPQ75UMU25Iv_sPTUpBT7zflu4l7sDvNLTwT1Rasm46FWzvRYk7DzNuCE4vkM7vSPGobzeZyU4IAA4E0AJSG1QASpzEAAaYD33ACUY-_IeAwrf68r6PMyJHe4Is-j_1-T_ESHwKw8Pu8_wHgBU5A3koQAAADLwFx0EAP9_y7YvRQIR88K-vPw5ZtsWFuOe_RfIrQc3Bd8TBBELNwDg7aAiPAzF_jwa6iAALbvYFDs4E0AJSG9QAiqvBhAMGqAGAACOQgAAwMEAADxCAAAwwQAAoMAAAAAAAAD0QgAAsMEAAIjBAAAAwQAAyEEAAIjBAADgwQAAqEEAAHBCAABkwgAA8EEAAODAAAAIQgAAwMAAAMjBAABQwgAAeMIAAFBBAADIwQAAIMEAAI7CAAAAAAAAAMAAAKxCAAAQwgAAUEEAAFDCAABwQQAAtMIAAODAAABgwQAASEIAAABCAADgQQAAoMAAAHBBAAA0QgAAoEAAAEhCAABUwgAAQEAAAADAAABwQgAAoEIAAIC_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_AACAwQAAmEEAAIDAAABgwgAAbMIAAHzCAACowgAAmMEAAIDCAACYQQAAjMIAADRCAADAwQAABEIAAAxCAAAgQQAABEIAAEBBAACUQgAA6MEAAIDCAACoQQAAEEIAACBBAAA8wgAAUEEAACBBAAAQwgAAQMAAAIZCAAA0wgAAfMIAAODAAACAPwAAYEIAAIDAAAAAQAAA0EEAAHDCAAAQQQAAMMEAALjBAAAAwQAAYEEAAEDAAACAwAAA0MEAADBCAABAwgAAkMIgADgTQAlIdVABKo8CEAAagAIAABS-AABwvQAAHD4AADw-AAAMvgAAKz8AAII-AAAnvwAAuL0AABw-AADIvQAA4r4AABw-AACWPgAAmL0AACy-AADaPgAAUD0AALo-AAADPwAAfz8AAOa-AACgvAAAgLsAACS-AADgPAAAoLwAAAy-AABkPgAADT8AADQ-AAAwPQAADL4AAAQ-AACIvQAADD4AALi9AAA0vgAAvr4AAOC8AAA0vgAAVD4AAIo-AADgPAAAcD0AANi9AACWvgAAUL0AAKq-AACAOwAAcL0AAHS-AAC-PgAAXD4AAAQ-AAAkPgAANT8AAEA8AAAsvgAA2j4AAKA8AAAkvgAAHD4AAFQ-IAA4E0AJSHxQASqPAhABGoACAAA0vgAAmD0AAPi9AAA_vwAATL4AAIA7AACuPgAAmD0AANg9AACYvQAAgLsAAKq-AACIvQAAiL0AABA9AADgvAAAcL0AAAs_AABUvgAArj4AABw-AAB8vgAAmL0AACS-AAAwPQAAQLwAAKi9AABAPAAAUD0AAAw-AACYPQAAED0AAES-AAAwvQAA6D0AACy-AADYPQAAcD0AAGS-AAD4PQAAXD4AAAS-AAB0PgAAMD0AADS-AADoPQAAf78AAJg9AACKvgAAUL0AAEC8AAD4PQAAHD4AAIC7AAD4PQAA2D0AAHC9AAAsPgAADD4AAOC8AADYPQAABL4AAJi9AACYPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=QHXzTXgXkng","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["8466280205115452781"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4502162333794522326":{"videoId":"4502162333794522326","docid":"34-4-6-ZCC6E2474CB73C6D3","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu We show how to estimate the area under a graph using rectangles. We show how this can give...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3430723/897493e23220e2b07d018b5afc29f54b/564x318_1"},"target":"_self","position":"7","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DuRFdJf-Vbhs","linkTemplate":"/video/preview/4502162333794522326?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 69: Riemann Sum, Approximating Area under Graph","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=uRFdJf-Vbhs\",\"src\":\"serp\",\"rvb\":\"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_E6YHggQkAYAEKyqLARABGniB9wwH_P4DAAP6Dg4GC_oCBgf4APf__wDz-Ab__wL_APj09u__AAAA9ATx-wkAAAD2B_gR_v8AAA0G9QMEAAAAGQL9APcAAAAIB_8C_gEAAAr9Agj5AQAACAQCCgAAAAD9Bvf6AgAAAPb8_AkAAAAA_fQA-_z1_gAgAC3EQtg7OBNACUhOUAIqcxAAGmAH_gAQA_cBsxwB87_v3gv69fng-wP4__HfAPoQ_t4WE7_DGwn_JfD84rwAAAAgBgD-MgDpV-r4yB8GMAby9-kQB3_2Gu7tIvTg5uH_xg0CE-7zGUIAxfPwESbQ40f3NRsgAC3XPEs7OBNACUhvUAIqrwYQDBqgBgAAwEAAAMDAAABUQgAAcMEAALjBAAAQwQAAuEIAADzCAACWwgAAAMAAAABCAAAUwgAAQMIAAPjBAAAwQQAAyMEAADBCAAC4wQAAgL8AAIjCAACAwAAAPMIAACzCAAB4QgAAAAAAAFDBAAB8wgAAwEEAANBBAACEQgAARMIAAIDAAAAEwgAAcEIAAODBAAAgQQAAuMEAAExCAAAAQQAAgEAAAMBAAADAQAAAkMEAAADCAACgwQAAUMEAAIDAAADIwQAAbEIAAOBAAADwwQAALEIAAODAAAAsQgAAqMEAAJ7CAAAowgAAUEEAAIC_AABUQgAA6EEAADDBAAAIwgAAZMIAAABAAACQwgAAAMAAAJbCAADoQQAAKMIAADhCAACQQgAArsIAAGhCAACgwAAAtsIAAITCAAAQQgAAgMEAAODBAADOwgAADEIAAEjCAACgQAAAqEEAAJBCAAB8wgAAgD8AAJxCAABAQQAAwMAAACBCAABwQQAAWMIAAEBBAAAowgAAGEIAAEBAAAC4QQAAgL8AAEzCAADgQgAAHEIAAJjBAAB0wgAACEIAAIDBAABYQgAA-MEAAJZCAACYQQAAVEIAABxCAACIwQAAkEEAAMhCAADAwAAAKMIAADDBAAAswgAAwMAAAABBAACAwQAAuMEAALBBAAAcQgAAwEAAANDBAACSwgAAMEEAAIDAAABkwgAAgMAAAExCAACgQQAAaMIAAIBBAAAAwgAAyMEAALzCAAAAAAAAoEEAAIBAAACAvwAAyEEAABBCAAAowgAAcEEAANhBAAAUwgAAuEEAAPhBAAAsQgAAuMEAANDBAACoQQAAbMIAAADCAACAwgAAiEEAAJ7CAACAvwAABEIAAODBAACQQQAAuEEAAGBCAAAcQgAAWEIAADDCAADgQAAAEMEAALBBAACgQAAAEMEAAAAAAADIwQAAUMEAAGBBAAC-QgAAdMIAAFTCAACAwQAAkEEAALhBAABowgAACMIAALhBAAAQQgAAEEEAAJDBAABAQAAAMMEAAABBAAAgQQAAQEEAABjCAABAQQAAQMIAADzCIAA4E0AJSHVQASqPAhAAGoACAAAsPgAAyD0AAMg9AACoPQAAyL0AAIo-AACYPQAAA78AABy-AADYPQAAML0AAOA8AAAsPgAAPD4AAGy-AABcvgAAFz8AAKg9AAA0PgAAMz8AAH8_AACYvQAAFD4AAII-AAAcvgAAiL0AAJI-AAD4vQAADD4AADw-AADIPQAAqL0AAKA8AADIPQAAUD0AAMg9AABAPAAADL4AAJa-AAALvwAAbL4AAII-AACIvQAAuL0AAES-AADovQAAcD0AAIa-AAAcvgAA-L0AABy-AABEPgAA2D0AAMI-AACGvgAA4LwAAEc_AABwPQAAMD0AAPg9AACavgAALD4AACQ-AAC2viAAOBNACUh8UAEqjwIQARqAAgAAXL4AALg9AABwvQAAQb8AAHA9AAAcPgAAkj4AAIi9AAAQPQAAmD0AAEA8AADYvQAADL4AABS-AAC4PQAAgLsAABC9AAABPwAAlr4AAMo-AACovQAAoLwAAKi9AADovQAAuD0AAKC8AAB0vgAAED0AAJi9AACovQAAQDwAABQ-AABQvQAAbL4AAOg9AADovQAA6D0AABA9AAAcvgAAED0AAEA8AAA8vgAAFL4AAKC8AAAEvgAATL4AAH-_AACoPQAAMD0AADw-AAC4PQAAEL0AAMi9AAAkPgAAcD0AAJg9AABwvQAAqL0AABA9AADIPQAAoDwAAOi9AACWPgAAVD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=uRFdJf-Vbhs","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4502162333794522326"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15168831732761175421":{"videoId":"15168831732761175421","docid":"34-7-7-ZCB0AE42C1D34F0A2","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu We show how, given the graph of a function f(x) to sketch the graph of an antiderivative F...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1628079/414a5c26ef2f7c9eb60caae0a865a825/564x318_1"},"target":"_self","position":"8","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DMsSQ9VpSKGo","linkTemplate":"/video/preview/15168831732761175421?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 65: Antiderivative Examples with Graphs","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=MsSQ9VpSKGo\",\"src\":\"serp\",\"rvb\":\"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_gMAA_oODgYL-gIIAQf69___APn88gMFBP4A-PT27_8AAADwDwwDBgAAAAD78g34_gAAGwL79QMAAAAO__0IBAAAAAEQAAT-AQAA-gDxDgP_AAANAQoFAAAAAAX1BAgAAAAA9QX2BAAAAAAB_OsEAP8AACAALcRC2Ds4E0AJSE5QAipzEAAaYA0VAC8L7gXWBAHV3s_pA_j15frZ2hMAFNsAC_3TAAgM6NYH_v8r0gcIxQAAABT7-AA2AABO7PnS6CjyHtTq2wAaf_8m_dwQDdjT8_zo_PjxAPbyGwC3_P4Z8dPJH8wP-CAALZR3WTs4E0AJSG9QAiqvBhAMGqAGAAAYwgAA4MAAAAxCAABQQQAA4EAAAIhBAABIQgAAEEEAAMTCAACgQAAAEMEAACDBAABUwgAAoMEAABBCAADQwQAAkEEAAEBAAACQQQAANMIAAABBAAAMwgAA2MEAAAxCAABgQgAAgEAAAIbCAAAAQQAAPEIAAKBCAAAEwgAAuMEAABjCAADoQQAAyMEAAEjCAACgwAAA6EIAAEDBAADgwAAAyEEAAFDBAADAQAAAMMEAAOBAAAC4wQAAUMEAANDBAAB8QgAABMIAACTCAAAUQgAAkEEAAMDBAACwwgAAuMEAADjCAAAwQQAAAAAAAIBBAABgQQAATMIAACDCAAAkwgAAgEAAADzCAACgwAAA7MIAAAhCAACgwQAAOEIAAHhCAAA0wgAAeEIAAIBAAADawgAAuMIAAARCAACgwQAAMMEAANjCAABsQgAAAEEAAIA_AABAQAAAVEIAAFjCAADoQQAAmkIAAEBCAABwQQAAYEEAABRCAACowgAAcEEAAEjCAADgQQAAyMEAAPhBAACAwQAAbMIAAOhBAAAMQgAAoMAAAKTCAACQQQAAkMEAAJRCAACoQQAAkEIAAHBBAACQQgAACEIAADTCAAAwQQAAiEIAACTCAAAEwgAAQEAAAEDCAADgwQAA2EEAABTCAACAQQAAgEEAAEDBAACYwQAAgEAAALDBAABAQgAAREIAABDCAABMwgAAjEIAAGBBAACQwgAASEIAAADBAACMwgAAksIAAADCAABAQgAAMEEAAABAAADYQQAAMEEAAGDBAAC4QQAAgEEAAEDCAAAYQgAAwEAAALhBAACAwAAAYMEAAAAAAAAkwgAAOMIAAI7CAAAwQgAAHMIAAKBBAAAwwQAAYEEAAKDAAAA4QgAAjEIAAPBBAAA8QgAAkMEAAEDAAAAoQgAAKMIAAJDBAACAQAAAmEEAABTCAADAwQAAEMIAAMhCAABgwQAAwMEAAEDBAADwwQAALEIAAFTCAADYQQAAAEIAAEBBAACAQAAAqMEAALjBAADAwAAAgMEAALBBAACgQAAAcMEAADDBAAAwwgAABMIgADgTQAlIdVABKo8CEAAagAIAAAS-AADYPQAAEL0AAEC8AACevgAALD4AAPg9AADWvgAA4LwAAEC8AABMvgAAPD4AAAQ-AACaPgAAjr4AAFS-AADWPgAAmD0AAAQ-AABHPwAAfz8AADA9AACAOwAATD4AAFS-AADYPQAADD4AAHS-AABAvAAAyD0AAKC8AABEvgAADD4AAAy-AAAcPgAA2L0AAMg9AACmvgAAcL0AAL6-AACYPQAA2D0AABw-AABAPAAAuL0AAGy-AABUvgAAur4AAMK-AAD4vQAAmL0AAJo-AAAwvQAAhj4AAAy-AAAwPQAALT8AAOA8AADYPQAAnj4AAHS-AAB0PgAA6D0AANK-IAA4E0AJSHxQASqPAhABGoACAAD4vQAAPD4AAOi9AAAxvwAAoLwAAOg9AACePgAAEL0AAOA8AAA0PgAAED0AAAy-AABwvQAAVL4AAMg9AAAQvQAAoLwAAPY-AAD4vQAAzj4AADS-AACAuwAAQDwAACS-AADYPQAAyD0AAHS-AACgvAAA6L0AALi9AAAQvQAAFD4AABS-AAAMvgAAMD0AAFS-AAAsPgAAiD0AABy-AADgvAAAoDwAABA9AAAkvgAAcD0AAMi9AAAcvgAAf78AAFC9AADgvAAAhj4AAPg9AACAOwAAQLwAAFQ-AAAwPQAAMD0AAIi9AABcvgAA-L0AAEA8AAD4PQAAMD0AAEw-AACAuyAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=MsSQ9VpSKGo","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15168831732761175421"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17780468124350247335":{"videoId":"17780468124350247335","docid":"34-11-17-ZC4191ECCBB0D2DE7","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu We prove that there exists a unique solution to an equation using Rolle's theorem.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/402078/6cf078e70d476592d8d5240779033593/564x318_1"},"target":"_self","position":"9","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DR3DEj-6wGcs","linkTemplate":"/video/preview/17780468124350247335?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 59: Using Rolle's Theorem","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=R3DEj-6wGcs\",\"src\":\"serp\",\"rvb\":\"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_QMA9vkGCQ4G_AH4DAD6-f39APj9_gMFAv8A-_0G7_0AAADxDgsDBQAAAAQO9gIB_gEAGgL89gMAAAAGBP4H_QAAAPsP-v_-AQAADATyAAP_AAAF_gMEAAAAAPn9CgUBAAAA-wH8BAAAAAD5BAABAAAAACAALXVL3js4E0AJSE5QAipzEAAaYA4MADoYAvvCDjHNHfLuDdTxKPeysRf_KgYABeHd5gUQncr9Mv8e4AgCpgAAACz-_iYSAO54v-XY1xzT2wzBrxhEf_8l5RTa_gAnlCHSHNY8-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_AAA0QgAAMEEAAABCAACoQQAA8EEAAOjBAAAAwAAA4EAAAIDBAAAwQgAAEMEAAEBCAACgwQAAgEAAAADAAAAgwgAAksIAAEDCAADYQQAAhMIAAFTCAABIwgAAoMAAADBBAAAAwAAAKEIAABxCAAAcQgAAuMEAADBBAADAwQAAuMEAALjBAADIQQAAsEEAANDBAADQwQAACEIAANBCAABgwgAAQMIAAAAAAACgwQAAUEIAAGjCAADwwQAAsEEAAJBBAADgwAAARMIAAABBAAAkQgAAyEEAABBCAACIQQAAOMIAAJhBAAB8wgAAQMAgADgTQAlIdVABKo8CEAAagAIAAFQ-AABUPgAALD4AAKo-AABQPQAAVD4AAIK-AAAtvwAANL4AADA9AACIvQAALL4AAAQ-AADyPgAALL4AAPi9AADKPgAABD4AAOA8AABHPwAAbz8AABC9AADIPQAAfD4AADy-AACAOwAAbD4AAES-AADCPgAAHD4AALg9AACevgAAUD0AAEQ-AADYPQAAoDwAAES-AACqvgAADL4AAMa-AAAsvgAA4LwAANg9AAA0vgAAgr4AAFw-AADgPAAA5r4AACy-AACqvgAA4LwAANo-AACovQAAJD4AAMa-AAD4vQAAfz8AAEQ-AAAcPgAAPD4AAJq-AACYPQAAcD0AAIa-IAA4E0AJSHxQASqPAhABGoACAAD4vQAAUD0AAJi9AAA1vwAAFL4AABQ-AABMPgAAuD0AAMi9AAAsPgAAiL0AACS-AADIvQAAiL0AAJg9AAAQvQAAiL0AABE_AAAcvgAAmj4AADC9AABAvAAA-L0AAIi9AACgPAAA4DwAAMi9AAAQvQAAgDsAAHA9AACgvAAA2D0AAAS-AABsvgAAQDwAAKi9AAAcPgAAoDwAAHS-AABQvQAAuL0AAKA8AADgvAAAiD0AAEA8AADIvQAAf78AAPg9AAD4PQAAUD0AALg9AADovQAAqL0AADw-AAAkPgAAmD0AAFA9AACgPAAAML0AACw-AABkPgAAiL0AADw-AAAwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=R3DEj-6wGcs","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17780468124350247335"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8977089048115054918":{"videoId":"8977089048115054918","docid":"34-1-4-Z5DD1556068DF4313","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu We give the formula for calculating the sums 1+2+...+n and 1^2+2^2+...+n^2 and 1^3+2^3+...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1520524/fc9ea42626881f085db1443ff29814d1/564x318_1"},"target":"_self","position":"10","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DMzbBBOIEf4g","linkTemplate":"/video/preview/8977089048115054918?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 67: Summation Formula and Sigma Notation","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=MzbBBOIEf4g\",\"src\":\"serp\",\"rvb\":\"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_E4cEggQkAYAEKyqLARABGniB-AkPAQAAAPPv_AkABf4BBgLy9fb__gDw-vIE-AH_APIA_v7_AAAA8QYBAgkAAAD0BQMJ-wAAABoF7_4DAAAAF_n7AP8AAAAFFQD6_gEAAP4A9wcD_wAACQoNCQAAAAD_Av7__QH_APH6AQIAAAAA_QoG-P8AAAAgAC3KANE7OBNACUhOUAIqcxAAGmAQCQAGGPPi3TAf7e3wzA3F8t_b1dgJABXxAOzx6e8TGc3RFxD_CwcK58AAAAAs7w4EDwD5U88I6P4b6Rvv3MwS_X8gCtX_6ffWw9jz7Rf7-uPsCisAw_b4EAfm0jXNSQwgAC2ioEs7OBNACUhvUAIqrwYQDBqgBgAAoEEAAADAAACcQgAAQMIAAEBAAACAQAAAtkIAAKBBAACSwgAAcMEAAEBAAACYQQAAHMIAAEBAAACwQQAAoMAAAHBBAAAswgAAQEAAAKDBAAAgwQAAPMIAAETCAABEQgAAIMEAAKDBAAAYwgAAAAAAAGBCAAB0QgAABMIAAEzCAAAAwgAAjkIAAJrCAADowQAACMIAAGhCAABAQQAAkEEAANhBAABgwQAA2EEAAFDCAACoQQAAiMEAAFBBAAAQwQAAOEIAAMhBAABUwgAAYEEAAJDBAAAcQgAABMIAAGjCAACEwgAAoEEAABBBAAAsQgAAwEEAAETCAAA8wgAAIMIAAIA_AACMwgAAoEEAALzCAABAQAAAQMIAACBCAAAgQgAAYMIAAKpCAAAAwAAAkMIAAATCAABQQQAAHMIAAODBAACwwgAAFEIAAKDBAAAAQQAA0EEAAMBCAACEwgAAYEEAAHRCAACgQQAAEMEAABhCAACAwAAACMIAAMBBAACQwgAAMEEAAADBAACUQgAADEIAAATCAAB8QgAAUEEAAEDAAACcwgAASEIAAIA_AAAYQgAA0MEAAMhCAADYQQAA6EEAAABAAABIwgAA4MAAAOJCAACAQAAAaMIAAMBAAABEwgAAIMIAAIBAAABgwQAALMIAAMBBAACYQQAAwEAAAETCAADAwQAAQEEAAHDBAAA4wgAAQEAAAIxCAACwQQAAFMIAADBBAABIwgAAhMIAAHjCAACAQQAA-EEAADBBAAD4QQAAGEIAAKBBAADwwQAAAAAAAAAAAACYwQAAkEEAACBBAAAQQQAAKMIAABDBAABgwQAApMIAAPDBAACEwgAA4MAAAGTCAAAAQQAAoEEAANDBAAB4QgAAAMEAAFBBAABMQgAAbEIAABjCAABAwQAAQMEAAODAAACAvwAAQMEAAIhBAABAwAAACMIAAOhBAACyQgAAjsIAAMDBAACQwQAA2MEAABBCAAA4wgAACMIAAMBAAADAwAAAFMIAAIBBAABQwQAAcMEAAOhBAABgQQAAAEAAAEzCAACwQQAA-MEAAADCIAA4E0AJSHVQASqPAhAAGoACAAAQvQAAiL0AAMg9AAAkPgAA6D0AANg9AACIPQAA7r4AAAy-AAAMPgAAXL4AACy-AABAvAAAND4AABy-AACevgAAqj4AALg9AACIPQAAET8AAH8_AACIPQAAcL0AAAw-AAAwvQAA6L0AAEw-AAAMPgAAnj4AALg9AAAwPQAAyL0AAOA8AACgvAAAqD0AALi9AADYPQAAED0AAHy-AACmvgAAmL0AADw-AAAEPgAANL4AAMi9AABwPQAAyD0AADS-AAAMvgAAgDsAAKA8AAB8PgAA6D0AAFQ-AACyvgAAUL0AACk_AAC4PQAA4DwAACQ-AABcvgAAMD0AAPg9AABEviAAOBNACUh8UAEqjwIQARqAAgAALL4AAEA8AABwPQAAP78AAOA8AACYPQAAgj4AAIi9AADgPAAA-D0AAPi9AABQvQAAmD0AAOA8AADoPQAAgLsAAKA8AAAHPwAAUD0AAOY-AADovQAA4DwAAHC9AAD4vQAAQDwAAOC8AACgvAAAUL0AADC9AAAEPgAAUL0AAGQ-AAAcvgAAZL4AABC9AACYvQAAij4AAKg9AABEvgAAqL0AANi9AAAQPQAA2L0AAAw-AACIPQAAyL0AAH-_AACAOwAAuD0AAEQ-AAA0PgAAyL0AAAy-AACCPgAAED0AACw-AACAOwAAnr4AADA9AAD4PQAAij4AABS-AAAwPQAAuL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=MzbBBOIEf4g","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8977089048115054918"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9597094760586391121":{"videoId":"9597094760586391121","docid":"34-11-11-ZED59AA4083C1297A","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu We show how to generalize Rolle's theorem to get the Mean Value Theorem , then give an...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2719062/9dd5ebbfed91a0cee3891f6c34ddedfd/564x318_1"},"target":"_self","position":"12","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJ_p2NMomEYo","linkTemplate":"/video/preview/9597094760586391121?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 60: Intro to the Mean Value Theorem","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=J_p2NMomEYo\",\"src\":\"serp\",\"rvb\":\"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_E5AEggQkAYAEKyqLARABGniB__L4__0DAPb5BgkOBvwBAPz2_fj-_QDxAAL8_gEAAPcE9vX5AAAA6Q7-_foAAAAFCfUN_f0BAAwE-e4DAAAA_vMICvwAAAACC_gG_gEAAPkJ9gID_wAA-gL-CwAAAAD2BwgD__8AAAUM-QMAAAAA_wL9APv1_gAgAC2UPt47OBNACUhOUAIqcxAAGmAqEAAXNPz12QYcyP3e6A7G_iDcs9AN_zUPAO_w5-sYH9KzAw__IAsa6bYAAAAL4A3-AwDuY9z00e8SHvocyM8SQX8rFfIC7sDn9L8eCf3qKiDf_CUAqxr_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-AABwPQAAFL4AAOg9AADIvQAAK78AAPi9AACIPQAALL4AAPi9AABQPQAAoj4AADy-AACOvgAAoj4AAEA8AACAuwAAGT8AAH8_AABsvgAA-L0AAIY-AAAkvgAAiL0AAKo-AACIPQAAPD4AALg9AAAwvQAAPL4AALi9AAAUPgAAQDwAAOi9AACIvQAA-L0AAOi9AACSvgAAJL4AADw-AACCPgAABL4AADy-AADgvAAAVD4AAOi9AAB0vgAATL4AAOC8AACePgAAuD0AAFw-AACmvgAAqL0AAEs_AACCPgAA-L0AAEQ-AADoPQAAmD0AACQ-AACYvSAAOBNACUh8UAEqjwIQARqAAgAAQLwAAHA9AAAwPQAAQb8AAIA7AAA0PgAAmD0AAOg9AACAOwAAPD4AAKA8AAAwvQAAMD0AABC9AAAEPgAAEL0AADA9AAANPwAAuL0AAMI-AADYvQAAcL0AADA9AADYvQAAcD0AAIg9AADgPAAAoDwAAOA8AAAcPgAAUL0AANg9AAA0vgAARL4AAAS-AACgvAAAMD0AALg9AAAkvgAAmL0AABy-AADYvQAAQLwAAOg9AABQPQAAML0AAH-_AAAMPgAAoDwAAI4-AACovQAAEL0AAOi9AABUPgAAqL0AAMg9AACgPAAAFL4AANg9AADIPQAAbD4AABS-AABMPgAAgLsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=J_p2NMomEYo","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9597094760586391121"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1383098846963827730":{"videoId":"1383098846963827730","docid":"34-6-14-Z08DB440CD53CAE2D","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu Gives a definition of limit and some examples to help illustrate it.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2386218/c7f05c9c092e17300e5eb1497c866339/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/yWkVcQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dk-eCdL389iA","linkTemplate":"/video/preview/1383098846963827730?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 2: Definition of the Limit","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=k-eCdL389iA\",\"src\":\"serp\",\"rvb\":\"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_E6wDggQkAYAEKyqLARABGniB-v_89wH_APPt_QMOBP4B8Pv1Cfn__wDtCvAABQAAAOYB_f_6_wAA_Rr8BQMAAAD3DvMEAf8AABwC-_UEAAAAD_P4BAMAAAAPDPsE_gEAAPwM9vcD_wAA-Pr7CAAAAADwA_r5_v8AAPH2_REAAAAA-A7_Bv8AAAAgAC3LM847OBNACUhOUAIqhAIQABrwAX__HgDP5-D_vRbeAOkd5QCgDh__IizcAMT1_gDCGdEA8vwRANjwBQEUBfkAowUsAe7t2QD4yQIABbQJ_zcW-gH88PYANOXqAE_uIv_6-v7_pAoP__LyDQAa773-RifPABbmLvz4AcD_ItHOAf_WIAQIJzMLIgPoAtfDDgHXIxj_3_TS_Qrv-gDt2P_50wUnAgL5EwIAA_n2A-XsBBre__4lBxb8-UPh-fD2DgrLPPQE0_b-B-QI5f4I5DAI7d3iAfQFGe_Y3yIEQP4JBvYPE--6IAT898jyEfLg9Qe67xQD8_no_-zh3vzBBgEA7uHx_SAALTgcAjs4E0AJSGFQAipzEAAaYDX-AEECEccPA0PYLN7-EaTOFPLfrxT__ev_ywPaGP0rw9X0Fv8c0vzeoAAAACb43SDuAOh_tPLiDQv86e6H0Bz_fBUV_OfNIOC6tz0FBuQ4CwsURgCJD7BQPxikLxIaMiAALS2_Dzs4E0AJSG9QAiqvBhAMGqAGAACAQQAAIEIAAKxCAAAgQQAA4MEAAEBBAAB4QgAA2MEAAMDBAACgwQAAUMEAAIBAAAAcwgAA4MEAAERCAAAQwQAABEIAADTCAAAMwgAAOMIAAIC_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_AADgwAAAdEIAAJZCAABkwgAAoMEAACDCAACowQAAAEEAAIjCAAAQwgAAbEIAAEBAAAD4wQAAwMEAAIA_AAAEQgAAhEIAAGBBAAAwQQAABMIAABBCAAA8wgAAAMIgADgTQAlIdVABKo8CEAAagAIAABC9AAC2vgAAED0AAOA8AADgPAAA1j4AAAy-AADevgAA7r4AANg9AACYvQAAfL4AACw-AADmPgAAZL4AAK6-AAAzPwAAiL0AAIo-AAAxPwAAfz8AAKi9AAAMvgAA0j4AAIq-AADIvQAAhj4AAKK-AAC6PgAAkj4AANg9AADGvgAA4LwAAAS-AAB0PgAA2L0AAOC8AACIvQAAfL4AAPi9AACWvgAAbD4AAJ4-AAAsvgAABL4AAFA9AAAUPgAAA78AAOi9AACOvgAA1r4AALi9AAAsPgAAuj4AAFC9AAAwvQAAKT8AAMg9AACovQAAKz8AAIq-AABEPgAA6D0AALi9IAA4E0AJSHxQASqPAhABGoACAAAsvgAAED0AAFS-AABLvwAAbL4AAJI-AACSPgAAsj4AABA9AAA8PgAAcL0AADA9AAAEvgAAHD4AAIC7AADgvAAALL4AANI-AACYvQAAIT8AAOC8AADgPAAAUL0AABS-AAAQvQAAor4AAPi9AACgPAAA4DwAAOi9AADovQAABD4AAFC9AABEvgAAqD0AAMa-AAB0PgAAMD0AAAy-AAAsPgAAHL4AACS-AABEvgAAUL0AABQ-AABAvAAAf78AAI4-AAB0PgAALD4AAFC9AAD4PQAAFL4AAO4-AAAQPQAAZD4AADC9AACevgAAwj4AAIg9AAAkPgAAJL4AAPg9AAAQPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=k-eCdL389iA","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["1383098846963827730"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8619159631876978402":{"videoId":"8619159631876978402","docid":"34-4-10-Z6B19624E4E80880B","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu We show how to use the summation formulas to find the sum of the first n terms of a cubic...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3385322/605d1bad1d3a4d9464157abd6d3b84f1/564x318_1"},"target":"_self","position":"14","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D8jaLmPQ89bU","linkTemplate":"/video/preview/8619159631876978402?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 68: Working with Summation Formulas","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=8jaLmPQ89bU\",\"src\":\"serp\",\"rvb\":\"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_E-UDggQkAYAEKyqLARABGniBAwEPAAEAAPntCQkGB_wBBgLy9fb__gD4_f4DBQL_AAD-8_4EAQAA9Qr8-QUAAAD7GfYG-v4AABr0__UDAAAAD-wJBvoAAAAKDwMA_gEAAPX_8wID_wAAAv0PEAAAAAD3Awz8AQAAAPQF9gUAAAAA-AQAAf8AAAAgAC0pb9E7OBNACUhOUAIqcxAAGmD-CQAmD_AV2C4Z2u_r1RbO9gDXzsr4_ybqAP0CDOoWG7y8HBn_GuX35bUAAABD9wb7QgDoZb_r2AATCCHZ-dkhJH8LJNscBhLZ4erj0BHtE836_TMA0vvtB_z-3VzaW_wgAC0erTM7OBNACUhvUAIqrwYQDBqgBgAAQMAAADBBAACeQgAAUMIAAKDBAAAAwQAAokIAAMBAAACMwgAAmMEAABBBAACIwQAACMIAAIDBAAD4QQAA4MEAALhBAACAwgAACEIAABzCAAAAAAAAMMIAAITCAACEQgAAcEEAAIjBAABwwQAAMEEAALhBAACoQgAAEMIAAAjCAADYwQAAdEIAAJTCAABAQQAAAMIAAIpCAAAQwQAA8EEAAEBAAAC4wQAAgMAAANjBAACgQQAAwMEAAFBBAAAAwQAAokIAAAhCAAAEwgAAiEEAADDBAAAAQgAAwMEAADDCAACAwgAAHEIAALDBAAAoQgAA4EAAAEDBAAAswgAAUMEAAADAAACEwgAAgL8AAK7CAAAAQQAANMIAAIRCAABUQgAAfMIAAMJCAAC4QQAAjMIAAEzCAACQwQAAuMEAAEDAAADUwgAA-EEAAIDAAABAQQAAyEEAAMRCAACEwgAAgMAAAJxCAACAPwAAkEEAAPhBAACIQQAAyMEAAKjBAABAwgAAREIAAIjBAACyQgAALEIAAEzCAACQQgAAYEEAANjBAAAowgAACEIAAJBBAAAIQgAAoMEAALZCAAAEQgAAcEIAAIBBAAAIwgAAiEEAAMZCAAAAQAAA-MEAAIBAAADYwQAAQEAAAKBAAACAQQAAUMIAANhBAACoQQAA6MEAABjCAABUwgAAkEEAAEDBAACWwgAAoMAAADRCAACgQAAAYMIAAOBBAAC4wQAAMMIAAIDCAAC4QQAAkEEAACBBAAAAQAAAmEEAABRCAAAQwgAA4MAAABDBAADIwQAA-EEAAPBBAAAAQgAAmMEAAHDBAACAwQAAXMIAABDCAAB8wgAAqEEAAEjCAABAQQAA-EEAANDBAACgQQAAIEIAAMBBAAA0QgAATEIAANDBAACIwQAAIEEAAJDBAADgwAAAgD8AADBBAADgwAAAMMEAAFBBAADMQgAAbMIAAEjCAAD4wQAAcMEAAABCAACiwgAAAMIAAEBBAADAwAAAkMEAANDBAACQwQAAgMEAALBBAADYQQAAMEEAAKDBAAA0QgAAOMIAAHTCIAA4E0AJSHVQASqPAhAAGoACAAAUPgAAQDwAAHw-AADgPAAAuL0AAIC7AAC4PQAAL78AAHC9AACgPAAAML0AAFC9AABwvQAA1j4AADS-AADWvgAA3j4AAKC8AAC4PQAAaz8AAEE_AAAcvgAA4LwAAKY-AADgPAAAQLwAAIY-AABQvQAAuD0AANg9AADgvAAAvr4AAIg9AAB8PgAAMD0AAES-AACYPQAAor4AAFy-AABEvgAAFL4AABQ-AAC4PQAAiL0AAHS-AADgPAAAnj4AAMq-AACCvgAAjr4AAGS-AACSPgAAyD0AAFw-AADuvgAAUL0AAH8_AAAwvQAAMD0AAAw-AABMvgAAXD4AAIC7AAAUviAAOBNACUh8UAEqjwIQARqAAgAAuL0AADA9AADovQAAO78AAKi9AAC4PQAAlj4AAOi9AABAvAAABD4AADQ-AAAMvgAA4DwAAPi9AAA0PgAAiL0AADA9AADePgAAmL0AAOI-AAAQvQAAiD0AAKA8AAD4vQAAiD0AAJi9AAAMvgAAgDsAAMg9AADIvQAAgLsAACQ-AAA0vgAAdL4AAFA9AADYvQAAUD0AADw-AAA8vgAA4LwAAEC8AADgPAAA6L0AAIC7AABAvAAAMD0AAH-_AAAcPgAARD4AAKg9AAAwPQAAHL4AAEy-AACGPgAA4DwAAAw-AACAOwAALL4AAEC8AABQPQAAMD0AADS-AACKPgAA2D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=8jaLmPQ89bU","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8619159631876978402"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12067526648332006651":{"videoId":"12067526648332006651","docid":"34-9-1-ZF37C14F7FA7815C5","description":"Recorded Friday, April 1. A second course in linear algebra covering vector spaces and matrix decompositions taught by Dr. Anthony Bosman. Full Course: • Advanced Linear Algebra: Vector Spaces...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2994277/7721568d77e8482d985a3530670121cd/564x318_1"},"target":"_self","position":"15","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Doi2M-j0aHu4","linkTemplate":"/video/preview/12067526648332006651?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Advanced Linear Algebra 26: Functions of Matrices (Exponential, Trig, etc.)","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=oi2M-j0aHu4\",\"src\":\"serp\",\"rvb\":\"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_QMA_QALDvkJ_AILAPv69wAAAPIB9wIHAf8A8gIO-gcAAAD-BgQKBAAAAP79Cv70_gEAHQoA_vMAAAAFCgQG9wAAAA4D-P7-AQAA7wEF_wMAAAAM_QQA_wAAAP4I_gACAQAABQz5AwAAAAAC_AUAAAAAACAALXVL3js4E0AJSE5QAipzEAAaYAkHAAEcGAnYCivw4_3c8OwC_uER0AEA1_YADvTx8gz80cvkE_8N0wrhxAAAAP32DxgKAOxOA-7cKywlBvLE9wkUfwEY5SEt_e-xACAFGOkJygoGJwD2AfkER_31HgwgNSAALTQgWDs4E0AJSG9QAiqvBhAMGqAGAACYQQAA-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_AABEwgAAQEAAAIrCAADIwQAAgEEAAAzCAACCwgAAVEIAAIBAAAAAAAAAJMIAALjBAACowQAAAEAAAEzCAADQwQAAjEIAAIDAAAAIwgAAAEEAAEDBAAA8wgAA4MIAAMBAAABoQgAAwEEAAOjBAADwQQAAAAAAALDBAADAQQAAQMEAAOjBAACAQAAADEIAAIA_AABIwgAA-MEAANDBAACIwgAAMMEAAITCAACYQQAAEMIAABxCAACQQQAAcEEAAGhCAACAPwAA4EEAACDBAABsQgAAPMIAAIzCAAC4QQAAAEAAACDBAAAQwgAA2EEAADBBAAC4wQAAgEAAAJRCAADgwQAArsIAAFBBAAAkwgAA0EEAADjCAADwwQAAuEEAAMDAAAAgwQAA6MEAAPjBAABgwQAAoEEAAODAAAAgQgAA8MEAACBBAABgwQAAGMIgADgTQAlIdVABKo8CEAAagAIAAIa-AABwPQAAXD4AAAw-AADYPQAAQT8AAKA8AABNvwAA-r4AADQ-AADIPQAAvr4AAHw-AAC-PgAAZL4AAHS-AACePgAAML0AACs_AABZPwAAfz8AAPg9AABwvQAA2D0AANi9AACWPgAAnj4AAPq-AADIPQAApj4AABQ-AAAMvgAA4LwAADy-AACmPgAA-L0AAIC7AACYvQAAir4AANi9AACavgAAcD0AAJo-AAAEPgAAcD0AANY-AACyPgAAur4AANi9AACivgAAML0AAJK-AADKPgAAkj4AAHA9AADgPAAAVT8AAKg9AAAUPgAAcL0AAMi9AAAkPgAAmL0AAJa-IAA4E0AJSHxQASqPAhABGoACAADYvQAALD4AABC9AABNvwAAnr4AAMi9AACyPgAAmL0AAIC7AAAEPgAA4DwAAES-AABUvgAAHL4AAEQ-AACAOwAAuL0AAEM_AAAwPQAAoj4AAKA8AAC2vgAADL4AAKi9AACovQAAiD0AADS-AAAEPgAAoDwAAEC8AACIvQAAMD0AAPi9AAA8vgAAXD4AALg9AACmPgAAMD0AAGy-AACGvgAATD4AAMg9AAA0vgAA2D0AAKA8AAAUPgAAf78AAJa-AAAQvQAAJL4AANg9AACoPQAAiL0AAKA8AABAPAAAHD4AADC9AADoPQAAdD4AAKA8AACuPgAAFD4AAHC9AAC4vSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=oi2M-j0aHu4","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12067526648332006651"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1548711641101582479":{"videoId":"1548711641101582479","docid":"34-2-3-ZECD85A35753B0C1B","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu We discuss the relationship between the Fundamental Theorem of Calculus and the Mean Value...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/213054/82615199e46b893a6853e02ab03cb3a8/564x318_1"},"target":"_self","position":"16","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DzAVePyttHuw","linkTemplate":"/video/preview/1548711641101582479?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 78: Fundamental Theorem of Calculus and the Mean Value Theorems","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=zAVePyttHuw\",\"src\":\"serp\",\"rvb\":\"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_E4QHggQkAYAEKyqLARABGniBA_r9AvsFAPb5BgkNBfwB-_wE_fr9_QD9DAX7-gT-AP0DAPr3AQAA9Q4HAPsAAAAECfUN_f0BAA8EAfL0AAAA_vX8C_4AAAAGC_r9_gEAAAMI9wQD_wAAAAD5Cv8AAAD6BgEFBAEAAAQIAwQAAAAABf4KDAAAAAAgAC1ZQuI7OBNACUhOUAIqcxAAGmAWEgAtIQQHrtQlyPXS7fvT6hv0uuDj_xPyANEfBwIADJ_G3EL_E_Ib6q8AAAAXBvceBQDcabn82d4QMBAb9cMEF38qIN7xBtXdAaX1EvPzHwTi7SwAtxzr9SDH0zzcXCIgAC3lXiU7OBNACUhvUAIqrwYQDBqgBgAAIMEAAKjBAABgQgAAKMIAAHBBAACAwAAAqkIAAJBBAACCwgAAgEEAAJhBAACAQAAAIMIAAADBAACoQQAA0MEAAAhCAACgwQAAQEAAACTCAACAvwAAksIAAEjCAABAQgAAAAAAAMBBAAAQwgAAiEEAACBCAABgQgAA0MEAAMDBAADQwQAAnkIAAJ7CAACwwQAAYMEAAHhCAACAQAAAJEIAAHBBAACIwQAAAEEAAPjBAABgwQAAgsIAAKBAAAAAwAAAqEIAAFBBAAAMwgAAyEEAAIBAAAAYQgAAgMAAAEzCAACAwgAA2EEAAAAAAABsQgAAWEIAAGjCAAAMwgAANMIAADBBAACkwgAAQEAAANTCAAAQQQAARMIAAIRCAAAgQgAAmMIAALRCAADAwQAA4MIAAITCAACIwQAAQMAAAGDBAABQwgAAJEIAANDBAAAwwQAA6EEAAJxCAACAwgAAIMEAAHxCAAAgQQAAoMEAAChCAABwQQAAFMIAABxCAAA8wgAAmEEAAIA_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-AADovQAAyL0AAMg9AAAcvgAAD78AAHC9AADgPAAAcL0AAOC8AAAEPgAAfD4AAGS-AAAcvgAAVD4AAFC9AABAPAAA0j4AAH8_AAAcvgAAmD0AADQ-AAA8vgAAbD4AABQ-AADgvAAATD4AAOA8AAAQPQAAJL4AAMi9AACYPQAAMD0AABy-AAAMvgAATL4AALi9AAB0vgAAhr4AAPg9AAB8PgAAuL0AAJq-AAAkvgAAFD4AAEy-AAAMvgAAQDwAAOi9AABkPgAA2D0AABw-AABsvgAAcL0AABs_AADIPQAAiD0AAEQ-AAAwvQAAmD0AADQ-AAB8viAAOBNACUh8UAEqjwIQARqAAgAAED0AADA9AACgPAAATb8AAIa-AACCPgAAkj4AAAQ-AADYvQAABD4AAFA9AACWvgAAgDsAACy-AADYPQAAoDwAANg9AAARPwAAQLwAAKI-AACAOwAAQDwAAKi9AAAMvgAAmD0AAIg9AACovQAAQLwAAOC8AAAQvQAAcL0AALg9AAAsvgAAzr4AAAS-AABAvAAAcD0AAPg9AACCvgAATL4AADS-AAAwPQAAED0AAEA8AAAUPgAAmD0AAH-_AAAwPQAA-D0AAKg9AADYPQAAiL0AAAS-AADYPQAAgLsAAKg9AACgPAAAQDwAAOg9AAC4PQAAmj4AACS-AABEPgAAMD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=zAVePyttHuw","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1548711641101582479"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14744785373485311899":{"videoId":"14744785373485311899","docid":"34-8-11-Z9AC85FE8644109DF","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu We state the Fundamental Theorem of Calculus (Part II) and give examples of how to use it...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3421598/5e692f44d5011e22fa959a506c7db75a/564x318_1"},"target":"_self","position":"17","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D82FAaV88upY","linkTemplate":"/video/preview/14744785373485311899?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 76: Calculating Definite Integral with Fundamental Theorem of Calculus","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=82FAaV88upY\",\"src\":\"serp\",\"rvb\":\"EqwDChIxNzEzOTkyNzY2NzU1NjM0NzMKEzc3OTk1OTM5NzE4MzgzNzQ1ODIKFDEyODA3NjE2MzA4NDA0MDUxODE0ChM1MzI2MjM3NTg3NTYxNzc3MTU2ChM5MTE0MjE5NDY3ODMwNjk0Mzc0ChM4NDY2MjgwMjA1MTE1NDUyNzgxChM0NTAyMTYyMzMzNzk0NTIyMzI2ChQxNTE2ODgzMTczMjc2MTE3NTQyMQoUMTc3ODA0NjgxMjQzNTAyNDczMzUKEzg5NzcwODkwNDgxMTUwNTQ5MTgKEzk1OTcwOTQ3NjA1ODYzOTExMjEKEzEzODMwOTg4NDY5NjM4Mjc3MzAKEzg2MTkxNTk2MzE4NzY5Nzg0MDIKFDEyMDY3NTI2NjQ4MzMyMDA2NjUxChMxNTQ4NzExNjQxMTAxNTgyNDc5ChQxNDc0NDc4NTM3MzQ4NTMxMTg5OQoUMTc0MjY5NDMyNzAwOTY5NDk2MjgKFDE3NjM0MzAyMjY0MDEyNTE3MTcxChQxNTExNjkzNjE2MjI5MjExMzE1NwoUMTA2MjM0NDU0NDQ4MDI1OTA2ODQaFgoUMTQ3NDQ3ODUzNzM0ODUzMTE4OTlaFDE0NzQ0Nzg1MzczNDg1MzExODk5aq4NEgEwGAAiRBowAAopaGh2Ynd4YWN6bnR3Zm9kaGhVQ2ZIMEpaN3dWckpCZVZVWmw2dmt2Z3cSAgARKhDCDw8aDz8T4gOCBCQBgAQrKosBEAEaeIEEAv_5_AUA9PD8CAAF_gH_Bgj_-f7-AP0FAwACBf4A-_0G7_0AAAD6DwP-BgAAAP0B8wcC_gAAJP33_QAAAAAQ6vwG_wAAAAAW9gb-AAAABAj2BAP_AAADAggHAAAAAPX-BAEBAAAA__r7BQAAAAD_AQoG_wAAACAALa2G4Ds4E0AJSE5QAipzEAAaYAkKAEMr_f-v8TXL9NPpAtXdDfjL7PL_-_IA3wPg9u8ombXcIP8x1vzrqwAAAAkJCSfcAO1wxwjB9CEnCQfXwRgmfywj2f3zAsnilwgA988t3wrUIACnJ9sEJdjcS-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-AABcPgAAgr4AADy-AAC2PgAAoDwAAJi9AAAzPwAAfz8AANi9AADgvAAAZD4AACy-AABEPgAAJD4AAPi9AAA8PgAA2D0AAKg9AACSvgAAED0AABQ-AABwPQAAEL0AALi9AAD4vQAADL4AAIa-AABMvgAABD4AACQ-AACIvQAAbL4AAMi9AAD4PQAAZL4AAIq-AABAvAAANL4AAFQ-AABsPgAAmj4AAKq-AAAwvQAAST8AADQ-AACIvQAAVD4AAFy-AAAsPgAA2D0AAGS-IAA4E0AJSHxQASqPAhABGoACAAA8vgAAuD0AAOA8AABLvwAA6L0AAHA9AABEPgAAiD0AAFC9AACoPQAAUD0AAPi9AADIvQAAyL0AAOg9AACAuwAAoLwAAN4-AAAwvQAAoj4AABC9AAAcPgAABL4AABy-AACgPAAA4LwAABy-AACAOwAA-L0AAIC7AACAuwAAND4AALi9AAB0vgAAQDwAAOi9AAA8PgAAFD4AAIK-AABwvQAAJL4AADC9AAA8vgAA2D0AAJg9AAA8vgAAf78AABQ-AAA8PgAAHD4AABw-AABwvQAAuL0AAFw-AACYPQAA6D0AAEC8AAD4vQAAqD0AAOA8AAAsPgAAqL0AAFw-AABwPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=82FAaV88upY","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14744785373485311899"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17426943270096949628":{"videoId":"17426943270096949628","docid":"34-6-8-ZDA380FE07F51941C","description":"Recorded Monday, February 14. A second course in linear algebra covering vector spaces and matrix decompositions taught by Dr. Anthony Bosman. Full Course: • Advanced Linear Algebra: Vector...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1032305/4b80774b8f1f74f83aff4099e1895889/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/gMVz9QEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DwPtrQyLVumM","linkTemplate":"/video/preview/17426943270096949628?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Advanced Linear Algebra 14: Orthogonal Basis & Unitary Matrices","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=wPtrQyLVumM\",\"src\":\"serp\",\"rvb\":\"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_AANEPcL-wINDvT29AAAAPIU-QMHAv8A9AMBAwgAAAAFD_ILBgAAAAL-_fXx_QEAJgz7AAQAAAASB_4J9QAAAAsI8vT_AQAA9gwJ_QMAAAAABPr-_wAAAAQP-Pz__wAACBH89wEAAAAK6Qz4AAAAACAALe7wvTs4E0AJSE5QAiqEAhAAGvABfwb7_p0m-f35DOwAOg7pAMX8LAALJOL_wjzaAfcN2QEXHQIByNfD_yI-2f6L5OEDudjV_u7vBgBb-CX_8cUFAO8EGwEfB-sCPy4cAO7x6P60Hf__4t8MAQsC2wEiHL0ACMwf_vru4wgM6K8KEf5GAeohEwMM5e__2uEAAPAGKwPf9NL94Ccz_uDlEAHnDAEFLPYFBexDHfn79QwKHgEGBjHR-AMqFhn_FOjz_8YPEvjj8Rb-G-D4A-D3JAH4GdT81NwL9fi7BP9CxQ4D5AQQ9PgTFAwK8gMGue35DebHHgLlAvUB6wDw7fER5_MR1Of6IAAtLKoCOzgTQAlIYVACKs8HEAAawAe2Ew2_Gt1BvITzab3L8kU-fpDAvKFIjL1O00c-79pvPEmDmzwwHF49pD7iO_vS9jyz8HW-x9CWvEVkQDlnYpo-TjqbvBrvWDyHNCq-nmmoPbZyZbzn_iq-Xcv_PEh0Kjz3R569QGIFPYGz0rtyHmk9O2pxvby0PL3kw8c8w_IguoOa67woEzI9sF8rvbGnPb0TYH284VEZPIeWK71WbKc9_wjDPNVSyrwgV1Q9OK4VPcYEyrqZKe291SkLPPKhujxp_ig-i13TO0cLKzzcVX68_dc-vcogsboPQsS6an7jOlyKULxY8y28dRE1PXrhTrznpxg9gHe8vJV_rbyt-QG-VKWSPCHR3zu1jNA742hTPRvbpbqw4tS9dTbJPTyOVTzBTAC9f7RJPVN9grzPfKM9uDJSPafQVDxDVME9siI0PDkrfbyDbNm8cFMtPazYMjhVZIk99pfdPZjyRry-W-o8ls6XPY82jrkMGCm9asa9PBakujsiezO9bLkOPbtg0zs-jaA85gmAO370l7sVAe49gRUxvTNGNbzB0g-9KNMIvTWfTrxwwu-6CVyNvHEFb7wiiuk9_fsnvcH-a7wvMqI7FBT1vBj2izuM6Ag9uzxCvJZB1rsVd5e7DAWMvQbGEzz-LNa8YVygvPO-O7z47G-9dvUvvZf6XLtqepo85AlOvYLE-jv8hSM9bFeNPA9iCDtgYLG9sLy3u7hUDLkSUME9wXhBvWHTCroKo1m9jmnYu8sq8LrQXwg96RAYPXd9fbnRSMo9C-qAvI7t4Li063c7CPpVvIJlOzpXKoO9XHfOvFrGDTktn0A93_4cPX-3sjcjrhC881z4OwhlMjhU0U49jlD9vDeX27kP7H09rOsrvFLCELmB1767LUn5PGtlR7p8HcI8_LuIPA1mg7nEvvA62S3dPIXnG7nUdMm7Biz5PB4bLDmnwX48Mlx8u_h7zzh4fUY9ueanOwY1ADdMqAA9x_Cdvf7uMDkQ45o8Jrr4PIVj0Dj-kh48zYSwPLfRlbWDuNc8GX8TPAtFlDjxWSg9d5aKvdU16zg4aM89N3akvCuzZLjdlJc8U2VuvZJr_jjHNp-8SfIePCVaargJERU9LKdzvRsJODjJZLe93g_uvBpa3DdJ4aU93HcUPNS2I7nvPmI93iEAvQk4ILfDEYM5UFUhvYShK7dUwqi9GoBXvBGEwjcU9E09tL2nvZeXjbci_-w9NSkFPvN-W7gD_JS9f6iPPYXkXrnhLYu9m3_LOuYACjgupJi9fbtbvJDlJ7ggADgTQAlIbVABKnMQABpgDvoAHQUp9PQiFvr65c8KtggH8Ba1DgDH_wD-9Qj-FQvR0Nv4ABbVCfS5AAAACOb2GxQA5ljU4OYpDRb06q7zJP1_2CLs7AgU88gQ_Q__8T3iFR0zAPIRxiVOKNMVFxo_IAAtX4k-OzgTQAlIb1ACKq8GEAwaoAYAAERCAAAUwgAA6EEAAIBBAAAgwgAAUMEAALpCAAAUwgAAKMIAAABAAAAgQgAAgL8AAABBAAAwQQAADEIAAAzCAAAAQgAAsMEAACBBAADIwQAA2MEAAFTCAABowgAAYEEAAADAAAAgQQAAXMIAAABBAAAUQgAAkEIAAHzCAAAQwQAACMIAAFRCAABIwgAAcEEAACjCAADgQQAAsEEAAGBBAACAvwAA2EEAAIhBAABgwQAA4EEAADDCAADAwAAAAMIAAJxCAAAoQgAAUMEAAFBBAAAQwQAACEIAAIA_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-EEAADBBAAAgQQAAEMIAAKBCAAA4wgAAtsIAAJBBAABgQQAAwMAAAHDBAAAAQgAAYEEAAMDBAAAQQQAAmkIAAAzCAACswgAAAMEAABDBAABUQgAALMIAADDBAABAQgAAAMIAAIhBAADAwQAAsMEAADjCAACwQQAAQEAAACBBAAAQwgAA-EEAAFzCAABgwiAAOBNACUh1UAEqjwIQABqAAgAAfL4AAAW_AACaPgAAEL0AAPi9AAAFPwAAmD0AABm_AAATvwAADD4AAIC7AACavgAAtj4AALY-AABEvgAAPL4AABU_AAAMvgAAFz8AAD8_AAB_PwAA-D0AACS-AABwvQAAQLwAAHA9AAC6PgAAI78AAEC8AADaPgAA-D0AAJi9AABcvgAA4DwAAAQ-AABAPAAAPD4AAIg9AACivgAAJL4AAAu_AAAVPwAAnj4AAEw-AADgvAAAnj4AACQ-AACovQAAMD0AAIa-AADivgAA6r4AAP4-AAA8PgAAgLsAAHA9AAB3PwAA2L0AACQ-AABEPgAAlr4AAGQ-AABwvQAAJL4gADgTQAlIfFABKo8CEAEagAIAABA9AABsPgAAiD0AADG_AACevgAAED0AAJI-AACoPQAAgLsAAI4-AADYvQAApr4AAAy-AADIvQAAgDsAADC9AACAuwAAKz8AAIC7AACePgAA4DwAAIK-AAAMvgAAuL0AAIA7AACgvAAABL4AALg9AADIPQAAuD0AAKi9AABwPQAAFL4AACy-AABQPQAAML0AAOI-AADgPAAAdL4AAAy-AADIPQAAJD4AALi9AABwPQAAQLwAABw-AAB_vwAAUD0AAIC7AABQPQAAcD0AAKA8AADIvQAAqD0AABw-AAD4PQAAQLwAAEA8AABwPQAAFD4AAGw-AACAOwAAMD0AAOC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=wPtrQyLVumM","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":3840,"cheight":2160,"cratio":1.77777,"dups":["17426943270096949628"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17634302264012517171":{"videoId":"17634302264012517171","docid":"34-1-9-Z99737C46ECB3F871","description":"Playlist: • Lit Calculus Presented by Anthony Bosman, PhD. Math at Andrews University: math.andrews.edu Gives the limit definition of derivative and an example of using it to calculate the slope...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/788049/56877325520c3a292b7812938c34405b/564x318_1"},"target":"_self","position":"19","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dgo2BTB-7fk0","linkTemplate":"/video/preview/17634302264012517171?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lit Calculus 17: Limit Definition of Derivative","related_orig_text":"Math at Andrews University","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math at Andrews University\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=go2BTB-7fk0\",\"src\":\"serp\",\"rvb\":\"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_BwcFAAAA9fgGCQ4G_AH4AAUK-f39AO0E_PgFAAAA6fP8_Pz_AADxD_cH_AAAAPoH-wf7_gAADQIG_PwAAAAO__0IBQAAAAcM-v3-AQAA_wHz_QP_AAAABQj-_wAAAPcLB_r7_wAA8vb9EQAAAAD3_wALAP8AACAALWQm0js4E0AJSE5QAipzEAAaYC0QADcC7Nvu_TfREvD1E-rU-wvHvCX_C_QA8waz7_IcvcYP_P8r0wcVsQAAAB4n4C3rAOxouv7nCBsT-vnP1vQhfx8K0f_j_tmq1hv0K90ZBTIYMQCf7xYNAtS8LPgOACAALTbLLDs4E0AJSG9QAiqvBhAMGqAGAADwQQAAgD8AAOZCAAAAQQAAUMEAAMhBAACCQgAAmMEAADTCAADAwQAAwMEAAMBBAAAYwgAAoMEAACxCAADQwQAAoEEAAIjBAAAIwgAACMIAAMDAAAAUwgAAhsIAAJhBAABgwQAAEMEAAGTCAACQQQAAUEIAANJCAADQwQAAIMIAAKDBAADwQQAAhMIAAEDAAAAAwgAAhEIAAKhBAAAgwQAAcMEAAIA_AACAPwAAqMEAAABAAACIQQAAgEAAAIbCAACIQgAAgMIAACDCAACYQQAAEEIAADxCAAAYwgAAkMEAAIDBAACQQQAAgEAAALhBAACQQQAACMIAAIDCAADAwQAAoMAAAIDBAAAAQAAAlsIAALhBAAAAwQAALEIAAOhBAACYwgAAqEIAAIDBAADCwgAAYMIAAIC_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-AABAPAAAHD4AADA9AAAkPgAAzj4AABy-AADSvgAAXL4AAIA7AABMvgAAhr4AABw-AAC6PgAA4DwAAGS-AACWPgAA4LwAAIA7AAD-PgAAfz8AANg9AADgvAAAmj4AAHy-AADgPAAAfD4AAES-AAC4PQAAbD4AADA9AAB8vgAAuL0AACy-AAAUPgAA-L0AAJi9AAA0vgAAPL4AAHS-AACivgAAcL0AAGQ-AAC4vQAAuL0AAFC9AADYPQAAor4AAJa-AACKvgAAXL4AAHA9AAAQPQAAZD4AACy-AACYvQAAHz8AAKg9AAAEPgAAET8AABS-AAAEPgAA6D0AAEC8IAA4E0AJSHxQASqPAhABGoACAABkvgAAuD0AABS-AABTvwAA-L0AAEw-AACKPgAAND4AAEA8AAAUPgAAEL0AAIi9AAA0vgAAqD0AAOA8AAAwvQAA6L0AAOo-AACgvAAADT8AAKA8AACgvAAAgLsAACy-AACgPAAANL4AAAy-AADgPAAAoLwAAIi9AACYvQAA6D0AAEC8AAAsvgAAED0AAL6-AADIPQAAcD0AAMi9AADIPQAA4LwAAKi9AABwvQAAqL0AAKA8AADgvAAAf78AACQ-AAA8PgAAXD4AAEA8AADIPQAA6L0AAMI-AAAQPQAAHD4AABC9AAAsvgAAbD4AAEA8AAAMPgAALL4AANg9AACYPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=go2BTB-7fk0","parent-reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17634302264012517171"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"171399276675563473":{"videoId":"171399276675563473","title":"\u0007[Math\u0007] \u0007[at\u0007] \u0007[Andrews\u0007] \u0007[University\u0007]","cleanTitle":"Math at Andrews University","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=y48VBJ5fVgI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/y48VBJ5fVgI?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"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":"13,1bin","a11yText":"13,1 bin izleme"},"date":"25 mar 2019","modifyTime":1553472000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/y48VBJ5fVgI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=y48VBJ5fVgI","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":303},"parentClipId":"171399276675563473","href":"/preview/171399276675563473?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/171399276675563473?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7799593971838374582":{"videoId":"7799593971838374582","title":"Lit Calculus 71: Riemann Sum, Area under 2x-x^2","cleanTitle":"Lit Calculus 71: Riemann Sum, Area under 2x-x^2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=14cDK6JGakg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/14cDK6JGakg?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":800,"text":"13:20","a11yText":"Süre 13 dakika 20 saniye","shortText":"13 dk."},"date":"20 tem 2024","modifyTime":1721433600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/14cDK6JGakg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=14cDK6JGakg","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":800},"parentClipId":"7799593971838374582","href":"/preview/7799593971838374582?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/7799593971838374582?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12807616308404051814":{"videoId":"12807616308404051814","title":"Lit Calculus 66: Physics Application of Antiderivatives","cleanTitle":"Lit Calculus 66: Physics Application of Antiderivatives","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=LYgbI0d29ik","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/LYgbI0d29ik?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":646,"text":"10:46","a11yText":"Süre 10 dakika 46 saniye","shortText":"10 dk."},"date":"20 tem 2024","modifyTime":1721433600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/LYgbI0d29ik?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=LYgbI0d29ik","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":646},"parentClipId":"12807616308404051814","href":"/preview/12807616308404051814?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/12807616308404051814?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5326237587561777156":{"videoId":"5326237587561777156","title":"Differential Geometry 1: Local Curve Theory","cleanTitle":"Differential Geometry 1: Local Curve Theory","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=fJsEnmUuUtM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/fJsEnmUuUtM?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2725,"text":"45:25","a11yText":"Süre 45 dakika 25 saniye","shortText":"45 dk."},"views":{"text":"19,3bin","a11yText":"19,3 bin izleme"},"date":"27 ağu 2019","modifyTime":1566864000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/fJsEnmUuUtM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=fJsEnmUuUtM","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":2725},"parentClipId":"5326237587561777156","href":"/preview/5326237587561777156?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/5326237587561777156?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9114219467830694374":{"videoId":"9114219467830694374","title":"Lit Calculus 87: Area between Graphs by Integrating along y-axis","cleanTitle":"Lit Calculus 87: Area between Graphs by Integrating along y-axis","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=kyLSZDimJLY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/kyLSZDimJLY?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":590,"text":"9:50","a11yText":"Süre 9 dakika 50 saniye","shortText":"9 dk."},"date":"31 tem 2024","modifyTime":1722384000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/kyLSZDimJLY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=kyLSZDimJLY","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":590},"parentClipId":"9114219467830694374","href":"/preview/9114219467830694374?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/9114219467830694374?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8466280205115452781":{"videoId":"8466280205115452781","title":"Differential Geometry 2: Curvature","cleanTitle":"Differential Geometry 2: Curvature","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=QHXzTXgXkng","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/QHXzTXgXkng?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2777,"text":"46:17","a11yText":"Süre 46 dakika 17 saniye","shortText":"46 dk."},"views":{"text":"7,3bin","a11yText":"7,3 bin izleme"},"date":"18 eyl 2019","modifyTime":1568764800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/QHXzTXgXkng?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=QHXzTXgXkng","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":2777},"parentClipId":"8466280205115452781","href":"/preview/8466280205115452781?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/8466280205115452781?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4502162333794522326":{"videoId":"4502162333794522326","title":"Lit Calculus 69: Riemann Sum, Approximating Area under Graph","cleanTitle":"Lit Calculus 69: Riemann Sum, Approximating Area under Graph","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=uRFdJf-Vbhs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/uRFdJf-Vbhs?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":934,"text":"15:34","a11yText":"Süre 15 dakika 34 saniye","shortText":"15 dk."},"date":"20 tem 2024","modifyTime":1721433600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/uRFdJf-Vbhs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=uRFdJf-Vbhs","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":934},"parentClipId":"4502162333794522326","href":"/preview/4502162333794522326?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/4502162333794522326?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15168831732761175421":{"videoId":"15168831732761175421","title":"Lit Calculus 65: Antiderivative Examples with Graphs","cleanTitle":"Lit Calculus 65: Antiderivative Examples with Graphs","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=MsSQ9VpSKGo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/MsSQ9VpSKGo?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":585,"text":"9:45","a11yText":"Süre 9 dakika 45 saniye","shortText":"9 dk."},"date":"20 tem 2024","modifyTime":1721433600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/MsSQ9VpSKGo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=MsSQ9VpSKGo","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":585},"parentClipId":"15168831732761175421","href":"/preview/15168831732761175421?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/15168831732761175421?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17780468124350247335":{"videoId":"17780468124350247335","title":"Lit Calculus 59: Using Rolle's Theorem","cleanTitle":"Lit Calculus 59: Using Rolle's Theorem","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=R3DEj-6wGcs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/R3DEj-6wGcs?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":313,"text":"5:13","a11yText":"Süre 5 dakika 13 saniye","shortText":"5 dk."},"date":"19 tem 2024","modifyTime":1721347200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/R3DEj-6wGcs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=R3DEj-6wGcs","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":313},"parentClipId":"17780468124350247335","href":"/preview/17780468124350247335?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/17780468124350247335?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8977089048115054918":{"videoId":"8977089048115054918","title":"Lit Calculus 67: Summation Formula and Sigma Notation","cleanTitle":"Lit Calculus 67: Summation Formula and Sigma Notation","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=MzbBBOIEf4g","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/MzbBBOIEf4g?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":519,"text":"8:39","a11yText":"Süre 8 dakika 39 saniye","shortText":"8 dk."},"date":"20 tem 2024","modifyTime":1721433600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/MzbBBOIEf4g?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=MzbBBOIEf4g","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":519},"parentClipId":"8977089048115054918","href":"/preview/8977089048115054918?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/8977089048115054918?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9597094760586391121":{"videoId":"9597094760586391121","title":"Lit Calculus 60: Intro to the Mean Value Theorem","cleanTitle":"Lit Calculus 60: Intro to the Mean Value Theorem","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=J_p2NMomEYo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/J_p2NMomEYo?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":528,"text":"8:48","a11yText":"Süre 8 dakika 48 saniye","shortText":"8 dk."},"date":"19 tem 2024","modifyTime":1721347200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/J_p2NMomEYo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=J_p2NMomEYo","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":528},"parentClipId":"9597094760586391121","href":"/preview/9597094760586391121?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/9597094760586391121?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1383098846963827730":{"videoId":"1383098846963827730","title":"Lit Calculus 2: Definition of the Limit","cleanTitle":"Lit Calculus 2: Definition of the Limit","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=k-eCdL389iA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/k-eCdL389iA?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":428,"text":"7:08","a11yText":"Süre 7 dakika 8 saniye","shortText":"7 dk."},"views":{"text":"1,5bin","a11yText":"1,5 bin izleme"},"date":"6 ağu 2020","modifyTime":1596672000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/k-eCdL389iA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=k-eCdL389iA","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":428},"parentClipId":"1383098846963827730","href":"/preview/1383098846963827730?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/1383098846963827730?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8619159631876978402":{"videoId":"8619159631876978402","title":"Lit Calculus 68: Working with Summation Formulas","cleanTitle":"Lit Calculus 68: Working with Summation Formulas","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=8jaLmPQ89bU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/8jaLmPQ89bU?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":485,"text":"8:05","a11yText":"Süre 8 dakika 5 saniye","shortText":"8 dk."},"date":"20 tem 2024","modifyTime":1721433600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/8jaLmPQ89bU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=8jaLmPQ89bU","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":485},"parentClipId":"8619159631876978402","href":"/preview/8619159631876978402?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/8619159631876978402?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12067526648332006651":{"videoId":"12067526648332006651","title":"Advanced Linear Algebra 26: Functions of Matrices (Exponential, Trig, etc.)","cleanTitle":"Advanced Linear Algebra 26: Functions of Matrices (Exponential, Trig, etc.)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=oi2M-j0aHu4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/oi2M-j0aHu4?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"https://www.youtube.com/channel/UCfH0JZ7wVrJBeVUZl6vkvgw","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2854,"text":"47:34","a11yText":"Süre 47 dakika 34 saniye","shortText":"47 dk."},"views":{"text":"3,8bin","a11yText":"3,8 bin izleme"},"date":"16 kas 2022","modifyTime":1668556800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/oi2M-j0aHu4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=oi2M-j0aHu4","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":2854},"parentClipId":"12067526648332006651","href":"/preview/12067526648332006651?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/12067526648332006651?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1548711641101582479":{"videoId":"1548711641101582479","title":"Lit Calculus 78: Fundamental Theorem of Calculus and the Mean Value Theorems","cleanTitle":"Lit Calculus 78: Fundamental Theorem of Calculus and the Mean Value Theorems","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=zAVePyttHuw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/zAVePyttHuw?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":900,"text":"15:00","a11yText":"Süre 15 dakika","shortText":"15 dk."},"date":"31 tem 2024","modifyTime":1722384000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/zAVePyttHuw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=zAVePyttHuw","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":900},"parentClipId":"1548711641101582479","href":"/preview/1548711641101582479?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/1548711641101582479?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14744785373485311899":{"videoId":"14744785373485311899","title":"Lit Calculus 76: Calculating Definite Integral with Fundamental Theorem of Calculus","cleanTitle":"Lit Calculus 76: Calculating Definite Integral with Fundamental Theorem of Calculus","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=82FAaV88upY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/82FAaV88upY?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":482,"text":"8:02","a11yText":"Süre 8 dakika 2 saniye","shortText":"8 dk."},"date":"31 tem 2024","modifyTime":1722384000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/82FAaV88upY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=82FAaV88upY","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":482},"parentClipId":"14744785373485311899","href":"/preview/14744785373485311899?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/14744785373485311899?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17426943270096949628":{"videoId":"17426943270096949628","title":"Advanced Linear Algebra 14: Orthogonal Basis & Unitary Matrices","cleanTitle":"Advanced Linear Algebra 14: Orthogonal Basis & Unitary Matrices","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=wPtrQyLVumM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/wPtrQyLVumM?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2852,"text":"47:32","a11yText":"Süre 47 dakika 32 saniye","shortText":"47 dk."},"views":{"text":"2,6bin","a11yText":"2,6 bin izleme"},"date":"19 şub 2022","modifyTime":1645219666000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/wPtrQyLVumM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=wPtrQyLVumM","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":2852},"parentClipId":"17426943270096949628","href":"/preview/17426943270096949628?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/17426943270096949628?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17634302264012517171":{"videoId":"17634302264012517171","title":"Lit Calculus 17: Limit Definition of Derivative","cleanTitle":"Lit Calculus 17: Limit Definition of Derivative","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=go2BTB-7fk0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/go2BTB-7fk0?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":"d3d3LnlvdXR1YmUuY29tO1VDZkgwSlo3d1ZySkJlVlVabDZ2a3Zndw==","name":"Math at Andrews University","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+at+Andrews+University","origUrl":"http://www.youtube.com/@MathatAndrews","a11yText":"Math at Andrews University. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":372,"text":"6:12","a11yText":"Süre 6 dakika 12 saniye","shortText":"6 dk."},"date":"13 ağu 2020","modifyTime":1597276800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/go2BTB-7fk0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=go2BTB-7fk0","reqid":"1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL","duration":372},"parentClipId":"17634302264012517171","href":"/preview/17634302264012517171?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","rawHref":"/video/preview/17634302264012517171?parent-reqid=1765305079558508-5959257506672153707-balancer-l7leveler-kubr-yp-klg-288-BAL&text=Math+at+Andrews+University","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":"9592575066721537077288","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":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"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":"Math at Andrews University","queryUriEscaped":"Math%20at%20Andrews%20University","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"}}}