47 Applied Optimization Problems
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=_lNDHOV2FlQ
OpenStax Calculus Volume 1","styleRuns":[{"startIndex":0,"length":26,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":26,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"COoBELsvGAIiEwj61ema8eGLAxXs80IFHbKZEnw=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC19sTkRIT1YyRmxRGAYyJSIRIgtfbE5ESE9WMkZsUTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"COoBELsvGAIiEwj61ema8eGLAxXs80IFHbKZEnw=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"COkBELovIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"e58sGIZe1wU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/e58sGIZe1wU/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAJXJLgGoYpURGcCGmgdx6FjTX8Eg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/e58sGIZe1wU/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDYalNtJO1BKG_ixHWiES68iibmBw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"4.8 L'Hopital's Rule by Ryan Melton 1,666 views 6 years ago 21 minutes"}},"simpleText":"4.8 L'Hopital's Rule"},"longBylineText":{"runs":[{"text":"Ryan Melton","navigationEndpoint":{"clickTrackingParams":"COIBEKQwGAAiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@RyanMelton","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCuJPBD4h1hHp7FnW6VgRmCQ","canonicalBaseUrl":"/@RyanMelton"}}}]},"publishedTimeText":{"simpleText":"6 years ago"},"viewCountText":{"simpleText":"1,666 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"21 minutes, 6 seconds"}},"simpleText":"21:06"},"navigationEndpoint":{"clickTrackingParams":"COIBEKQwGAAiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWRI1KzYq87j0Kn-AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=e58sGIZe1wU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"e58sGIZe1wU","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=7b9f2c18865ed705 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=953750 mt=1740591189 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Ryan Melton","navigationEndpoint":{"clickTrackingParams":"COIBEKQwGAAiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@RyanMelton","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCuJPBD4h1hHp7FnW6VgRmCQ","canonicalBaseUrl":"/@RyanMelton"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_ln3hYJDZCmnwQfHXMdWhDHWO-eoulbz3Xkbh-vCG_KFmee=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"COIBEKQwGAAiEwj61ema8eGLAxXs80IFHbKZEnxAha77soiDy897","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"1.6K views"}},"simpleText":"1.6K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"COcBEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COcBEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"e58sGIZe1wU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COcBEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["e58sGIZe1wU"],"params":"CAQ%3D"}},"videoIds":["e58sGIZe1wU"]}},{"clickTrackingParams":"COcBEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"COgBELlqIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},"popupType":"TOAST"}}]}},"trackingParams":"COcBEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"COYBENGqBRgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","offlineVideoEndpoint":{"videoId":"e58sGIZe1wU","onAddCommand":{"clickTrackingParams":"COYBENGqBRgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","getDownloadActionCommand":{"videoId":"e58sGIZe1wU","params":"CAIQAA%3D%3D"}}}},"trackingParams":"COYBENGqBRgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"COIBEKQwGAAiEwj61ema8eGLAxXs80IFHbKZEnw=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtlNThzR0laZTF3VQ%3D%3D","commands":[{"clickTrackingParams":"COIBEKQwGAAiEwj61ema8eGLAxXs80IFHbKZEnw=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"COUBEI5iIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"COIBEKQwGAAiEwj61ema8eGLAxXs80IFHbKZEnw=","hasSeparator":true}}],"trackingParams":"COIBEKQwGAAiEwj61ema8eGLAxXs80IFHbKZEnw=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"21 minutes, 6 seconds"}},"simpleText":"21:06"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COQBEPnnAxgBIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"e58sGIZe1wU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"COQBEPnnAxgBIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"e58sGIZe1wU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COQBEPnnAxgBIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COMBEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COMBEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"e58sGIZe1wU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COMBEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["e58sGIZe1wU"],"params":"CAQ%3D"}},"videoIds":["e58sGIZe1wU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COMBEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"4.8 L'Hopital's Rule - 21 minutes - Go to channel - Ryan Melton - 1.6K views - 6 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"x-cMfl_GznQ","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/x-cMfl_GznQ/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCXMLaAy6t3iUu9ZsmZ6pCUIDQc3w","width":168,"height":94},{"url":"https://i.ytimg.com/vi/x-cMfl_GznQ/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBfcAthlR0xyIqqEAPXcdQVblHI8A","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"4.7 Applied Optimization Problems by Tyler Wallace 8,340 views 6 years ago 31 minutes"}},"simpleText":"4.7 Applied Optimization Problems"},"longBylineText":{"runs":[{"text":"Tyler Wallace","navigationEndpoint":{"clickTrackingParams":"CNsBEKQwGAEiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@wallacemath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCe7rd4o8i5YBqrQjIcSpkUQ","canonicalBaseUrl":"/@wallacemath"}}}]},"publishedTimeText":{"simpleText":"6 years ago"},"viewCountText":{"simpleText":"8,340 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"31 minutes, 2 seconds"}},"simpleText":"31:02"},"navigationEndpoint":{"clickTrackingParams":"CNsBEKQwGAEiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWRI1KzYq87j0Kn-AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=x-cMfl_GznQ","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"x-cMfl_GznQ","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=c7e70c7e5fc6ce74 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1237500 mt=1740591189 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Tyler Wallace","navigationEndpoint":{"clickTrackingParams":"CNsBEKQwGAEiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@wallacemath","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCe7rd4o8i5YBqrQjIcSpkUQ","canonicalBaseUrl":"/@wallacemath"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mtK7rnrSo8H2grsQc-OpYJ3qjrfgZTnZMmzULtM0Y=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CNsBEKQwGAEiEwj61ema8eGLAxXs80IFHbKZEnxA9Jyb_uWPw_PHAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"8.3K views"}},"simpleText":"8.3K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"COABEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COABEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"x-cMfl_GznQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COABEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["x-cMfl_GznQ"],"params":"CAQ%3D"}},"videoIds":["x-cMfl_GznQ"]}},{"clickTrackingParams":"COABEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"COEBELlqIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},"popupType":"TOAST"}}]}},"trackingParams":"COABEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CN8BENGqBRgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","offlineVideoEndpoint":{"videoId":"x-cMfl_GznQ","onAddCommand":{"clickTrackingParams":"CN8BENGqBRgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","getDownloadActionCommand":{"videoId":"x-cMfl_GznQ","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CN8BENGqBRgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CNsBEKQwGAEiEwj61ema8eGLAxXs80IFHbKZEnw=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt4LWNNZmxfR3puUQ%3D%3D","commands":[{"clickTrackingParams":"CNsBEKQwGAEiEwj61ema8eGLAxXs80IFHbKZEnw=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CN4BEI5iIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CNsBEKQwGAEiEwj61ema8eGLAxXs80IFHbKZEnw=","hasSeparator":true}}],"trackingParams":"CNsBEKQwGAEiEwj61ema8eGLAxXs80IFHbKZEnw=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"31 minutes, 2 seconds"}},"simpleText":"31:02"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CN0BEPnnAxgBIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"x-cMfl_GznQ","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CN0BEPnnAxgBIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"x-cMfl_GznQ"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CN0BEPnnAxgBIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNwBEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNwBEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"x-cMfl_GznQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNwBEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["x-cMfl_GznQ"],"params":"CAQ%3D"}},"videoIds":["x-cMfl_GznQ"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNwBEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"4.7 Applied Optimization Problems - 31 minutes - Go to channel - Tyler Wallace - 8.3K views - 6 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"lx8RcYcYVuU","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/lx8RcYcYVuU/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCIWXOa0rG7PWWj-ud2MmHaAcR_uA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/lx8RcYcYVuU/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDYqviqgJldc0nbhaQOpDbphY0hew","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Optimization Problems - Calculus by The Organic Chemistry Tutor 1,438,629 views 3 years ago 1 hour, 4 minutes"}},"simpleText":"Optimization Problems - Calculus"},"longBylineText":{"runs":[{"text":"The Organic Chemistry Tutor","navigationEndpoint":{"clickTrackingParams":"CNQBEKQwGAIiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheOrganicChemistryTutor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCEWpbFLzoYGPfuWUMFPSaoA","canonicalBaseUrl":"/@TheOrganicChemistryTutor"}}}]},"publishedTimeText":{"simpleText":"3 years ago"},"viewCountText":{"simpleText":"1,438,629 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"1 hour, 4 minutes, 56 seconds"}},"simpleText":"1:04:56"},"navigationEndpoint":{"clickTrackingParams":"CNQBEKQwGAIiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWRI1KzYq87j0Kn-AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=lx8RcYcYVuU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"lx8RcYcYVuU","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=971f1171871856e5 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=953750 mt=1740591189 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"The Organic Chemistry Tutor","navigationEndpoint":{"clickTrackingParams":"CNQBEKQwGAIiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheOrganicChemistryTutor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCEWpbFLzoYGPfuWUMFPSaoA","canonicalBaseUrl":"/@TheOrganicChemistryTutor"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lOQikQsmqQS3dG9VBvbJ03Eqqw7NshUvDNorj5UAZL6M0=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"CNQBEKQwGAIiEwj61ema8eGLAxXs80IFHbKZEnw=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CNQBEKQwGAIiEwj61ema8eGLAxXs80IFHbKZEnxA5a3huJiuxI-XAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"1.4 million views"}},"simpleText":"1.4M views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CNkBEP6YBBgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNkBEP6YBBgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"lx8RcYcYVuU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNkBEP6YBBgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["lx8RcYcYVuU"],"params":"CAQ%3D"}},"videoIds":["lx8RcYcYVuU"]}},{"clickTrackingParams":"CNkBEP6YBBgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CNoBELlqIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},"popupType":"TOAST"}}]}},"trackingParams":"CNkBEP6YBBgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CNgBENGqBRgHIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","offlineVideoEndpoint":{"videoId":"lx8RcYcYVuU","onAddCommand":{"clickTrackingParams":"CNgBENGqBRgHIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","getDownloadActionCommand":{"videoId":"lx8RcYcYVuU","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CNgBENGqBRgHIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CNQBEKQwGAIiEwj61ema8eGLAxXs80IFHbKZEnw=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtseDhSY1ljWVZ1VQ%3D%3D","commands":[{"clickTrackingParams":"CNQBEKQwGAIiEwj61ema8eGLAxXs80IFHbKZEnw=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNcBEI5iIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CNQBEKQwGAIiEwj61ema8eGLAxXs80IFHbKZEnw=","hasSeparator":true}}],"trackingParams":"CNQBEKQwGAIiEwj61ema8eGLAxXs80IFHbKZEnw=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"1 hour, 4 minutes, 56 seconds"}},"simpleText":"1:04:56"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNYBEPnnAxgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"lx8RcYcYVuU","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CNYBEPnnAxgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"lx8RcYcYVuU"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNYBEPnnAxgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CNUBEMfsBBgDIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNUBEMfsBBgDIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"lx8RcYcYVuU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNUBEMfsBBgDIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["lx8RcYcYVuU"],"params":"CAQ%3D"}},"videoIds":["lx8RcYcYVuU"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CNUBEMfsBBgDIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Optimization Problems - Calculus - 1 hour, 4 minutes - Go to channel - The Organic Chemistry Tutor - 1.4M views - 3 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"hPRt6eERCu4","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/hPRt6eERCu4/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBRM3NOuijjB8Gf4kilM_xPLySQUw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/hPRt6eERCu4/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBQoiyz1KFb0cK-t2sSQqq3MrZ1Gg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Optimization: Minimize Surface Area of a Box Given the Volume by Steve Crow 92,116 views 6 years ago 6 minutes, 46 seconds"}},"simpleText":"Optimization: Minimize Surface Area of a Box Given the Volume"},"longBylineText":{"runs":[{"text":"Steve Crow","navigationEndpoint":{"clickTrackingParams":"CM0BEKQwGAMiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@crowsmathclass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCvBNHVWMUhlbT7odzfM6v_Q","canonicalBaseUrl":"/@crowsmathclass"}}}]},"publishedTimeText":{"simpleText":"6 years ago"},"viewCountText":{"simpleText":"92,116 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"6 minutes, 46 seconds"}},"simpleText":"6:46"},"navigationEndpoint":{"clickTrackingParams":"CM0BEKQwGAMiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWRI1KzYq87j0Kn-AZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=hPRt6eERCu4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"hPRt6eERCu4","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=84f46de9e1110aee ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=953750 mt=1740591189 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Steve Crow","navigationEndpoint":{"clickTrackingParams":"CM0BEKQwGAMiEwj61ema8eGLAxXs80IFHbKZEnwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@crowsmathclass","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCvBNHVWMUhlbT7odzfM6v_Q","canonicalBaseUrl":"/@crowsmathclass"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/uGeB5uDD4RUiDRu-KL4GQL21frmegS4nA_Tp_WzmNU_1u_44zzWeGORPDnAINeOR1dm_Ay1xog=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CM0BEKQwGAMiEwj61ema8eGLAxXs80IFHbKZEnxA7pXEiJ69m_qEAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"92K views"}},"simpleText":"92K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CNIBEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNIBEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"hPRt6eERCu4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNIBEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["hPRt6eERCu4"],"params":"CAQ%3D"}},"videoIds":["hPRt6eERCu4"]}},{"clickTrackingParams":"CNIBEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CNMBELlqIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},"popupType":"TOAST"}}]}},"trackingParams":"CNIBEP6YBBgFIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CNEBENGqBRgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","offlineVideoEndpoint":{"videoId":"hPRt6eERCu4","onAddCommand":{"clickTrackingParams":"CNEBENGqBRgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","getDownloadActionCommand":{"videoId":"hPRt6eERCu4","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CNEBENGqBRgGIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CM0BEKQwGAMiEwj61ema8eGLAxXs80IFHbKZEnw=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtoUFJ0NmVFUkN1NA%3D%3D","commands":[{"clickTrackingParams":"CM0BEKQwGAMiEwj61ema8eGLAxXs80IFHbKZEnw=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNABEI5iIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CM0BEKQwGAMiEwj61ema8eGLAxXs80IFHbKZEnw=","hasSeparator":true}}],"trackingParams":"CM0BEKQwGAMiEwj61ema8eGLAxXs80IFHbKZEnw=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"6 minutes, 46 seconds"}},"simpleText":"6:46"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CM8BEPnnAxgBIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"hPRt6eERCu4","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CM8BEPnnAxgBIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"hPRt6eERCu4"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CM8BEPnnAxgBIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CM4BEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CM4BEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"hPRt6eERCu4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CM4BEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["hPRt6eERCu4"],"params":"CAQ%3D"}},"videoIds":["hPRt6eERCu4"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CM4BEMfsBBgCIhMI-tXpmvHhiwMV7PNCBR2ymRJ8"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Optimization: Minimize Surface Area of a Box Given the Volume - 6 minutes, 46 seconds - Go to channel - Steve Crow - 92K views - 6 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/Fn9CXMFpyJE/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLAt2C_U2cnuQ8B7iPzpH5zEhtMEjA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Fn9CXMFpyJE/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLBb7SiSurogky_W1wdI8ETUoYWVlQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"21 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":730163,"darkTheme":730163}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":1327193,"darkTheme":1327193}}},"stackColor":{"lightTheme":7047321,"darkTheme":7768467}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Calculus 1"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Yousef Salah
#############################
