2018 SQA Higher Mathematics Paper 2 11 Exponential Equation











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=GiOSPO0esfw

Carry out calculations involving a given exponential equation modeling the waiting time in a queue. • Instructional exercise consisting of question 11 from the second paper of the 2018 SQA New Higher Mathematics examination. • Where appropriate the alternative methods for solving the problem are also given. • Set out in stages of 'try then check' the worked solution to each part of the question. • Including indications of where each mark is allocated, and the requirements for that mark, according to the marking scheme.","styleRuns":[{"startIndex":0,"length":518,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":518,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMUBELsvGAIiEwiWkIX7gtGLAxXj00IFHWm4FSI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC0dpT1NQTzBlc2Z3GAYyJSIRIgtHaU9TUE8wZXNmdzAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMUBELsvGAIiEwiWkIX7gtGLAxXj00IFHWm4FSI=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMQBELovIhMIlpCF-4LRiwMV49NCBR1puBUi"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"qre2uo1J2B0","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/qre2uo1J2B0/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCHR278C6MjknKcHjNdgGqKT9fVSA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/qre2uo1J2B0/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBTGCqlmg9wlfuCFT9XYoHLDJrE-g","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"2018 SQA Higher Mathematics Paper 2: 12 Circles by DLBmaths 6,430 views 5 years ago 11 minutes, 36 seconds"}},"simpleText":"2018 SQA Higher Mathematics Paper 2: 12 Circles"},"longBylineText":{"runs":[{"text":"DLBmaths","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DLBmaths","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXt3XlkIJoAMovD7ngorKQQ","canonicalBaseUrl":"/@DLBmaths"}}}]},"publishedTimeText":{"simpleText":"5 years ago"},"viewCountText":{"simpleText":"6,430 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"11 minutes, 36 seconds"}},"simpleText":"11:36"},"navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWRI_OP66M7H5JEamgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=qre2uo1J2B0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"qre2uo1J2B0","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---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=aab7b6ba8d49d81d ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1706250 mt=1740012056 oweuc= pxtags=Cg4KAnR4Egg1MTM1NjgxMg rxtags=Cg4KAnR4Egg1MTM1NjgxMQ%2CCg4KAnR4Egg1MTM1NjgxMg"}}}}},"shortBylineText":{"runs":[{"text":"DLBmaths","navigationEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DLBmaths","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXt3XlkIJoAMovD7ngorKQQ","canonicalBaseUrl":"/@DLBmaths"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lY3yGetWYopdHWs1RXkx_tyqO70wQPXsGGmDx12IXOGA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CL0BEKQwGAAiEwiWkIX7gtGLAxXj00IFHWm4FSJAnbCn6qjX7duqAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"6.4K views"}},"simpleText":"6.4K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMIBEP6YBBgFIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMIBEP6YBBgFIhMIlpCF-4LRiwMV49NCBR1puBUi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"qre2uo1J2B0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMIBEP6YBBgFIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["qre2uo1J2B0"],"params":"CAQ%3D"}},"videoIds":["qre2uo1J2B0"]}},{"clickTrackingParams":"CMIBEP6YBBgFIhMIlpCF-4LRiwMV49NCBR1puBUi","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMMBELlqIhMIlpCF-4LRiwMV49NCBR1puBUi"}},"popupType":"TOAST"}}]}},"trackingParams":"CMIBEP6YBBgFIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMEBENGqBRgGIhMIlpCF-4LRiwMV49NCBR1puBUi","offlineVideoEndpoint":{"videoId":"qre2uo1J2B0","onAddCommand":{"clickTrackingParams":"CMEBENGqBRgGIhMIlpCF-4LRiwMV49NCBR1puBUi","getDownloadActionCommand":{"videoId":"qre2uo1J2B0","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMEBENGqBRgGIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CL0BEKQwGAAiEwiWkIX7gtGLAxXj00IFHWm4FSI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtxcmUydW8xSjJCMA%3D%3D","commands":[{"clickTrackingParams":"CL0BEKQwGAAiEwiWkIX7gtGLAxXj00IFHWm4FSI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMABEI5iIhMIlpCF-4LRiwMV49NCBR1puBUi","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CL0BEKQwGAAiEwiWkIX7gtGLAxXj00IFHWm4FSI=","hasSeparator":true}}],"trackingParams":"CL0BEKQwGAAiEwiWkIX7gtGLAxXj00IFHWm4FSI=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"11 minutes, 36 seconds"}},"simpleText":"11:36"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgBIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"qre2uo1J2B0","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL8BEPnnAxgBIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"qre2uo1J2B0"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL8BEPnnAxgBIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL4BEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL4BEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"qre2uo1J2B0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL4BEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["qre2uo1J2B0"],"params":"CAQ%3D"}},"videoIds":["qre2uo1J2B0"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL4BEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"2018 SQA Higher Mathematics Paper 2: 12 Circles - 11 minutes, 36 seconds - Go to channel - DLBmaths - 6.4K views - 5 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"mc8Ki0_yzWA","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/mc8Ki0_yzWA/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAEI4_OIPEoZrjkiffkYg3BIDbEUw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/mc8Ki0_yzWA/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLB0hV6s8yMYfH_tBbwSW_nYPhwjdQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"15 - What is a Logarithm (Log x) Function? (Calculate Logs, Applications, Log Bases) by Math and Science 408,241 views 4 years ago 45 minutes"}},"simpleText":"15 - What is a Logarithm (Log x) Function? (Calculate Logs, Applications, Log Bases)"},"longBylineText":{"runs":[{"text":"Math and Science","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathAndScience","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYgL81lc7DOLNhnel1_J6Vg","canonicalBaseUrl":"/@MathAndScience"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"408,241 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"45 minutes"}},"simpleText":"45:00"},"navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWRI_OP66M7H5JEamgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=mc8Ki0_yzWA","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"mc8Ki0_yzWA","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---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=99cf0a8b4ff2cd60 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1445000 mt=1740012056 oweuc= pxtags=Cg4KAnR4Egg1MTM1NjgxMg rxtags=Cg4KAnR4Egg1MTM1NjgxMQ%2CCg4KAnR4Egg1MTM1NjgxMg"}}}}},"shortBylineText":{"runs":[{"text":"Math and Science","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathAndScience","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYgL81lc7DOLNhnel1_J6Vg","canonicalBaseUrl":"/@MathAndScience"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/KG4-MPi-rWInkcl04h8xsCql5DnPXjn8RGKVXJmu1ULPQY4vKIDv7jvlbRYmOoLNvVFKQl1pMQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLYBEKQwGAEiEwiWkIX7gtGLAxXj00IFHWm4FSJA4JrL_7TRwueZAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"408K views"}},"simpleText":"408K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLsBEP6YBBgGIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLsBEP6YBBgGIhMIlpCF-4LRiwMV49NCBR1puBUi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"mc8Ki0_yzWA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLsBEP6YBBgGIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["mc8Ki0_yzWA"],"params":"CAQ%3D"}},"videoIds":["mc8Ki0_yzWA"]}},{"clickTrackingParams":"CLsBEP6YBBgGIhMIlpCF-4LRiwMV49NCBR1puBUi","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLwBELlqIhMIlpCF-4LRiwMV49NCBR1puBUi"}},"popupType":"TOAST"}}]}},"trackingParams":"CLsBEP6YBBgGIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLoBENGqBRgHIhMIlpCF-4LRiwMV49NCBR1puBUi","offlineVideoEndpoint":{"videoId":"mc8Ki0_yzWA","onAddCommand":{"clickTrackingParams":"CLoBENGqBRgHIhMIlpCF-4LRiwMV49NCBR1puBUi","getDownloadActionCommand":{"videoId":"mc8Ki0_yzWA","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLoBENGqBRgHIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLYBEKQwGAEiEwiWkIX7gtGLAxXj00IFHWm4FSI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgttYzhLaTBfeXpXQQ%3D%3D","commands":[{"clickTrackingParams":"CLYBEKQwGAEiEwiWkIX7gtGLAxXj00IFHWm4FSI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLkBEI5iIhMIlpCF-4LRiwMV49NCBR1puBUi","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLYBEKQwGAEiEwiWkIX7gtGLAxXj00IFHWm4FSI=","hasSeparator":true}}],"trackingParams":"CLYBEKQwGAEiEwiWkIX7gtGLAxXj00IFHWm4FSI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"45 minutes"}},"simpleText":"45:00"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"mc8Ki0_yzWA","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"mc8Ki0_yzWA"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLgBEPnnAxgBIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"mc8Ki0_yzWA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["mc8Ki0_yzWA"],"params":"CAQ%3D"}},"videoIds":["mc8Ki0_yzWA"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"15 - What is a Logarithm (Log x) Function? (Calculate Logs, Applications, Log Bases) - 45 minutes - Go to channel - Math and Science - 408K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/mc8Ki0_yzWA/mqdefault_6s.webp?du=3000 sqp=CIDS2b0G rs=AOn4CLCbgHTMjPmrqz9pdi98liZBISLgsQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"_FSi1oFEjT8","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/_FSi1oFEjT8/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBvIS3_k6E9X7bgZ4YRL5K_uQspZA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/_FSi1oFEjT8/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBShKPgkaDOdVRNv35viokqaBVACw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"2022 Higher Mathematics Paper 2 no.3 Wave equation by DLBmaths 7,597 views 2 years ago 16 minutes"}},"simpleText":"2022 Higher Mathematics Paper 2 no.3 Wave equation"},"longBylineText":{"runs":[{"text":"DLBmaths","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DLBmaths","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXt3XlkIJoAMovD7ngorKQQ","canonicalBaseUrl":"/@DLBmaths"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"7,597 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"16 minutes, 32 seconds"}},"simpleText":"16:32"},"navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWRI_OP66M7H5JEamgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=_FSi1oFEjT8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"_FSi1oFEjT8","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nv47zn7y.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=fc54a2d681448d3f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=940000 mt=1740012056 oweuc= pxtags=Cg4KAnR4Egg1MTM1NjgxMg rxtags=Cg4KAnR4Egg1MTM1NjgxMQ%2CCg4KAnR4Egg1MTM1NjgxMg"}}}}},"shortBylineText":{"runs":[{"text":"DLBmaths","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@DLBmaths","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCXt3XlkIJoAMovD7ngorKQQ","canonicalBaseUrl":"/@DLBmaths"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lY3yGetWYopdHWs1RXkx_tyqO70wQPXsGGmDx12IXOGA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CK8BEKQwGAIiEwiWkIX7gtGLAxXj00IFHWm4FSJAv5qSiujaqKr8AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"7.5K views"}},"simpleText":"7.5K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLQBEP6YBBgGIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLQBEP6YBBgGIhMIlpCF-4LRiwMV49NCBR1puBUi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"_FSi1oFEjT8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLQBEP6YBBgGIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["_FSi1oFEjT8"],"params":"CAQ%3D"}},"videoIds":["_FSi1oFEjT8"]}},{"clickTrackingParams":"CLQBEP6YBBgGIhMIlpCF-4LRiwMV49NCBR1puBUi","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLUBELlqIhMIlpCF-4LRiwMV49NCBR1puBUi"}},"popupType":"TOAST"}}]}},"trackingParams":"CLQBEP6YBBgGIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLMBENGqBRgHIhMIlpCF-4LRiwMV49NCBR1puBUi","offlineVideoEndpoint":{"videoId":"_FSi1oFEjT8","onAddCommand":{"clickTrackingParams":"CLMBENGqBRgHIhMIlpCF-4LRiwMV49NCBR1puBUi","getDownloadActionCommand":{"videoId":"_FSi1oFEjT8","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLMBENGqBRgHIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK8BEKQwGAIiEwiWkIX7gtGLAxXj00IFHWm4FSI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtfRlNpMW9GRWpUOA%3D%3D","commands":[{"clickTrackingParams":"CK8BEKQwGAIiEwiWkIX7gtGLAxXj00IFHWm4FSI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLIBEI5iIhMIlpCF-4LRiwMV49NCBR1puBUi","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK8BEKQwGAIiEwiWkIX7gtGLAxXj00IFHWm4FSI=","hasSeparator":true}}],"trackingParams":"CK8BEKQwGAIiEwiWkIX7gtGLAxXj00IFHWm4FSI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"16 minutes, 32 seconds"}},"simpleText":"16:32"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"_FSi1oFEjT8","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"_FSi1oFEjT8"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEPnnAxgBIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"_FSi1oFEjT8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["_FSi1oFEjT8"],"params":"CAQ%3D"}},"videoIds":["_FSi1oFEjT8"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEMfsBBgCIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"2022 Higher Mathematics Paper 2 no.3 Wave equation - 16 minutes - Go to channel - DLBmaths - 7.5K views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/_FSi1oFEjT8/mqdefault_6s.webp?du=3000 sqp=CP7p2b0G rs=AOn4CLDgQNZzF-Paxi0CuHTV3W4P_dbCMg","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"Rg3dBosfZ3Y","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/Rg3dBosfZ3Y/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLB9GnuHlXchQVrWXFppCw2QQdsihA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Rg3dBosfZ3Y/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBXkgNO8u3KyAAjvFaqBW_ruaQhRQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"so you want a VERY HARD math question?! by blackpenredpen 1,089,677 views 2 years ago 13 minutes, 51 seconds"}},"simpleText":"so you want a VERY HARD math question?!"},"longBylineText":{"runs":[{"text":"blackpenredpen","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@blackpenredpen","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC_SvYP0k05UKiJ_2ndB02IA","canonicalBaseUrl":"/@blackpenredpen"}}}]},"publishedTimeText":{"simpleText":"2 years ago"},"viewCountText":{"simpleText":"1,089,677 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"13 minutes, 51 seconds"}},"simpleText":"13:51"},"navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWRI_OP66M7H5JEamgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=Rg3dBosfZ3Y","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"Rg3dBosfZ3Y","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=460ddd068b1f6776 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1706250 mt=1740012056 oweuc= pxtags=Cg4KAnR4Egg1MTM1NjgxMg rxtags=Cg4KAnR4Egg1MTM1NjgxMQ%2CCg4KAnR4Egg1MTM1NjgxMg"}}}}},"shortBylineText":{"runs":[{"text":"blackpenredpen","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwiWkIX7gtGLAxXj00IFHWm4FSIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@blackpenredpen","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC_SvYP0k05UKiJ_2ndB02IA","canonicalBaseUrl":"/@blackpenredpen"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/kGQxp49X4lQvODyAXMfFsvXDG9bRpI-iKd97ibQPn2Z2xlMASmKof_8M10peqPESU4MhcozK6Dc=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":"CKgBEKQwGAMiEwiWkIX7gtGLAxXj00IFHWm4FSI=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"CKgBEKQwGAMiEwiWkIX7gtGLAxXj00IFHWm4FSJA9s792Oig94ZG","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"1 million views"}},"simpleText":"1M views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK0BEP6YBBgHIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK0BEP6YBBgHIhMIlpCF-4LRiwMV49NCBR1puBUi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Rg3dBosfZ3Y","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK0BEP6YBBgHIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Rg3dBosfZ3Y"],"params":"CAQ%3D"}},"videoIds":["Rg3dBosfZ3Y"]}},{"clickTrackingParams":"CK0BEP6YBBgHIhMIlpCF-4LRiwMV49NCBR1puBUi","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK4BELlqIhMIlpCF-4LRiwMV49NCBR1puBUi"}},"popupType":"TOAST"}}]}},"trackingParams":"CK0BEP6YBBgHIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKwBENGqBRgIIhMIlpCF-4LRiwMV49NCBR1puBUi","offlineVideoEndpoint":{"videoId":"Rg3dBosfZ3Y","onAddCommand":{"clickTrackingParams":"CKwBENGqBRgIIhMIlpCF-4LRiwMV49NCBR1puBUi","getDownloadActionCommand":{"videoId":"Rg3dBosfZ3Y","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKwBENGqBRgIIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKgBEKQwGAMiEwiWkIX7gtGLAxXj00IFHWm4FSI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtSZzNkQm9zZlozWQ%3D%3D","commands":[{"clickTrackingParams":"CKgBEKQwGAMiEwiWkIX7gtGLAxXj00IFHWm4FSI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKsBEI5iIhMIlpCF-4LRiwMV49NCBR1puBUi","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKgBEKQwGAMiEwiWkIX7gtGLAxXj00IFHWm4FSI=","hasSeparator":true}}],"trackingParams":"CKgBEKQwGAMiEwiWkIX7gtGLAxXj00IFHWm4FSI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"13 minutes, 51 seconds"}},"simpleText":"13:51"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgCIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"Rg3dBosfZ3Y","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgCIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"Rg3dBosfZ3Y"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKoBEPnnAxgCIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKkBEMfsBBgDIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKkBEMfsBBgDIhMIlpCF-4LRiwMV49NCBR1puBUi","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Rg3dBosfZ3Y","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKkBEMfsBBgDIhMIlpCF-4LRiwMV49NCBR1puBUi","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Rg3dBosfZ3Y"],"params":"CAQ%3D"}},"videoIds":["Rg3dBosfZ3Y"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKkBEMfsBBgDIhMIlpCF-4LRiwMV49NCBR1puBUi"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"so you want a VERY HARD math question?! - 13 minutes, 51 seconds - Go to channel - blackpenredpen - 1M views - 2 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/Rg3dBosfZ3Y/mqdefault_6s.webp?du=3000 sqp=CITo2b0G rs=AOn4CLBA5g1SIioIHXIiZR_45LWAPQRRMQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/6DAXUufLdJM/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLD1a5GNXzuCFZkMXf62I1O0KeUC2g","width":168,"height":94},{"url":"https://i.ytimg.com/vi/6DAXUufLdJM/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLAGvUblhezgaFOd9nyuTtUg54oEIg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"180 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":2830131,"darkTheme":2830131}}}],"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":3554111,"darkTheme":3554111}}},"stackColor":{"lightTheme":8555929,"darkTheme":7897484}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"SQA new Higher Maths past papers"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"DLBmaths

#############################









New on site
Content Report
Youtor.org / YTube video Downloader © 2025

created by www.youtor.org