Multivariable Functions Lecture 1 Part 5 Linear Functions
#############################
Video Source: www.youtube.com/watch?v=8o9rkTonj3I
Multivariable Functions Lecture 1 Part 4.mp4","styleRuns":[{"startIndex":0,"length":44,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":44,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CN4BELsvGAIiEwi5vKCg3OKJAxXowUIFHWGNKhI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SCzhvOXJrVG9uajNJGAYyJSIRIgs4bzlya1RvbmozSTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CN4BELsvGAIiEwi5vKCg3OKJAxXowUIFHWGNKhI=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CN0BELovIhMIubygoNziiQMV6MFCBR1hjSoS"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"jp45Q-ZPhQ4","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/jp45Q-ZPhQ4/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLC-myKv6wvU_AxDluju4Wn1mVbBjw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/jp45Q-ZPhQ4/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAFo_Jl8NlbdclX2U5sBgJR4D669w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Multivariable Functions Lecture 1 Part 6: Quadratic Forms автор: Mathified 1 606 переглядів 12 років тому 7 хвилин і 51 секунда"}},"simpleText":"Multivariable Functions Lecture 1 Part 6: Quadratic Forms"},"longBylineText":{"runs":[{"text":"Mathified","navigationEndpoint":{"clickTrackingParams":"CNYBEKQwGAAiEwi5vKCg3OKJAxXowUIFHWGNKhIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@instructified","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC4jJIbndWRWEEhXb8g75GAQ","canonicalBaseUrl":"/@instructified"}}}]},"publishedTimeText":{"simpleText":"12 років тому"},"viewCountText":{"simpleText":"1 606 переглядів"},"lengthText":{"accessibility":{"accessibilityData":{"label":"7 хвилин і 51 секунда"}},"simpleText":"7:51"},"navigationEndpoint":{"clickTrackingParams":"CNYBEKQwGAAiEwi5vKCg3OKJAxXowUIFHWGNKhIyB3JlbGF0ZWRI8p6e0ZPy2sfyAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=jp45Q-ZPhQ4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"jp45Q-ZPhQ4","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr5---sn-5hne6n6l.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=8e9e3943e64f850e ip=217.12.208.230 mt=1731823710 oweuc= pxtags=Cg4KAnR4Egg1MTMyNzUyNw rxtags=Cg4KAnR4Egg1MTMyNzUyNg%2CCg4KAnR4Egg1MTMyNzUyNw%2CCg4KAnR4Egg1MTMyNzUyOA"}}}}},"shortBylineText":{"runs":[{"text":"Mathified","navigationEndpoint":{"clickTrackingParams":"CNYBEKQwGAAiEwi5vKCg3OKJAxXowUIFHWGNKhIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@instructified","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC4jJIbndWRWEEhXb8g75GAQ","canonicalBaseUrl":"/@instructified"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lR7ZYwtGffeCMsH90ygbHTp-FhtiDwSeaFLCcgPIsOhg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CNYBEKQwGAAiEwi5vKCg3OKJAxXowUIFHWGNKhJAjoq-sr6ojs-OAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"1,6 тисячі переглядів"}},"simpleText":"1,6 тис. переглядів"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Додати в чергу"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CNsBEP6YBBgFIhMIubygoNziiQMV6MFCBR1hjSoS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNsBEP6YBBgFIhMIubygoNziiQMV6MFCBR1hjSoS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"jp45Q-ZPhQ4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNsBEP6YBBgFIhMIubygoNziiQMV6MFCBR1hjSoS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["jp45Q-ZPhQ4"],"params":"CAQ%3D"}},"videoIds":["jp45Q-ZPhQ4"]}},{"clickTrackingParams":"CNsBEP6YBBgFIhMIubygoNziiQMV6MFCBR1hjSoS","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Додано до черги"},"trackingParams":"CNwBELlqIhMIubygoNziiQMV6MFCBR1hjSoS"}},"popupType":"TOAST"}}]}},"trackingParams":"CNsBEP6YBBgFIhMIubygoNziiQMV6MFCBR1hjSoS"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CNoBENGqBRgGIhMIubygoNziiQMV6MFCBR1hjSoS","offlineVideoEndpoint":{"videoId":"jp45Q-ZPhQ4","onAddCommand":{"clickTrackingParams":"CNoBENGqBRgGIhMIubygoNziiQMV6MFCBR1hjSoS","getDownloadActionCommand":{"videoId":"jp45Q-ZPhQ4","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CNoBENGqBRgGIhMIubygoNziiQMV6MFCBR1hjSoS"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Поділитися"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CNYBEKQwGAAiEwi5vKCg3OKJAxXowUIFHWGNKhI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtqcDQ1US1aUGhRNA%3D%3D","commands":[{"clickTrackingParams":"CNYBEKQwGAAiEwi5vKCg3OKJAxXowUIFHWGNKhI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNkBEI5iIhMIubygoNziiQMV6MFCBR1hjSoS","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CNYBEKQwGAAiEwi5vKCg3OKJAxXowUIFHWGNKhI=","hasSeparator":true}}],"trackingParams":"CNYBEKQwGAAiEwi5vKCg3OKJAxXowUIFHWGNKhI=","accessibility":{"accessibilityData":{"label":"Меню дій"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"7 хвилин і 51 секунда"}},"simpleText":"7:51"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Переглянути пізніше","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CNgBEPnnAxgBIhMIubygoNziiQMV6MFCBR1hjSoS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"jp45Q-ZPhQ4","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CNgBEPnnAxgBIhMIubygoNziiQMV6MFCBR1hjSoS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"jp45Q-ZPhQ4"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Переглянути пізніше"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CNgBEPnnAxgBIhMIubygoNziiQMV6MFCBR1hjSoS"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Додати в чергу","toggledTooltip":"Додано","untoggledServiceEndpoint":{"clickTrackingParams":"CNcBEMfsBBgCIhMIubygoNziiQMV6MFCBR1hjSoS","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNcBEMfsBBgCIhMIubygoNziiQMV6MFCBR1hjSoS","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"jp45Q-ZPhQ4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNcBEMfsBBgCIhMIubygoNziiQMV6MFCBR1hjSoS","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["jp45Q-ZPhQ4"],"params":"CAQ%3D"}},"videoIds":["jp45Q-ZPhQ4"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Додати в чергу"}},"toggledAccessibility":{"accessibilityData":{"label":"Додано"}},"trackingParams":"CNcBEMfsBBgCIhMIubygoNziiQMV6MFCBR1hjSoS"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Зараз відтворюється"}]}}}],"accessibility":{"accessibilityData":{"label":"Multivariable Functions Lecture 1 Part 6: Quadratic Forms – 7 хвилин і 51 секунда – Перейти до каналу – Mathified - 1,6 тис. переглядів - 12 років тому – відтворити відео"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/qUwe1miM9MI/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLChjOtysvdNHiNrUHGYI_jKHhiJxQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/qUwe1miM9MI/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLDkmWjW6aocyDjIWKuF4hiIeTxeyA","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"6 відео","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Відтворити все","styleRuns":[{"startIndex":0,"length":14}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4144959,"darkTheme":4144959}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Multivariable Functions Lecture I"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Mathified
#############################