{"id":3483,"date":"2024-06-24T16:59:14","date_gmt":"2024-06-24T16:59:14","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/calculus1\/?post_type=chapter&#038;p=3483"},"modified":"2024-08-05T03:16:27","modified_gmt":"2024-08-05T03:16:27","slug":"calculus-of-the-hyperbolic-functions-apply-it","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/calculus1\/chapter\/calculus-of-the-hyperbolic-functions-apply-it\/","title":{"raw":"Calculus of the Hyperbolic Functions: Apply It","rendered":"Calculus of the Hyperbolic Functions: Apply It"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Differentiate and integrate hyperbolic functions and their inverse forms<\/li>\r\n\t<li>Understand the practical situations where the catenary curve appears<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Calculus of the Hyperbolic Functions<\/h2>\r\n<section class=\"textbox watchIt\" aria-label=\"Watch It\"><iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/uMXcKY_w3w4?si=tZS9Vk1wwHJVR3jn\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/section>\r\n<section class=\"textbox watchIt\" aria-label=\"Watch It\"><iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/Q6-QZxUDfE0?si=ADF7DbLDS7kVAkx2\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/section>\r\n<section class=\"textbox watchIt\" aria-label=\"Watch It\">Pause these videos at the beginning and try to solve the problems on your own. Then, resume watching the video to check if you solved them correctly.<br \/>\r\n<br \/>\r\n<iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/u-_J0KjG1PU?si=M40Np8g021pntjMm\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe> <iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/dmAf1dUQNl8?si=LEtxZGstgiygWOwR\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe> <iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/AlQAOmL14Uw?si=6ZhsogYxpL0UBdxQ\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe> <iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/S58WptODiZ4?si=DkQKTdfCo-hdhGJ7\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe> <iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/V4Atg5NbHOw?si=KrKHZsxH_kyrBobV\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe> <iframe title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/I9MV2FLxkIE?si=4UkYsroQU8923YSR\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/section>\r\n<p>&nbsp;<\/p>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Differentiate and integrate hyperbolic functions and their inverse forms<\/li>\n<li>Understand the practical situations where the catenary curve appears<\/li>\n<\/ul>\n<\/section>\n<h2>Calculus of the Hyperbolic Functions<\/h2>\n<section class=\"textbox watchIt\" aria-label=\"Watch It\"><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/uMXcKY_w3w4?si=tZS9Vk1wwHJVR3jn\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/section>\n<section class=\"textbox watchIt\" aria-label=\"Watch It\"><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/Q6-QZxUDfE0?si=ADF7DbLDS7kVAkx2\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/section>\n<section class=\"textbox watchIt\" aria-label=\"Watch It\">Pause these videos at the beginning and try to solve the problems on your own. Then, resume watching the video to check if you solved them correctly.<\/p>\n<p><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/u-_J0KjG1PU?si=M40Np8g021pntjMm\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe> <iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/dmAf1dUQNl8?si=LEtxZGstgiygWOwR\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe> <iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/AlQAOmL14Uw?si=6ZhsogYxpL0UBdxQ\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe> <iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/S58WptODiZ4?si=DkQKTdfCo-hdhGJ7\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe> <iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/V4Atg5NbHOw?si=KrKHZsxH_kyrBobV\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe> <iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/I9MV2FLxkIE?si=4UkYsroQU8923YSR\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/section>\n<p>&nbsp;<\/p>\n","protected":false},"author":15,"menu_order":17,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":782,"module-header":"apply_it","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapters\/3483"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":3,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapters\/3483\/revisions"}],"predecessor-version":[{"id":4036,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapters\/3483\/revisions\/4036"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/parts\/782"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapters\/3483\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/wp\/v2\/media?parent=3483"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/pressbooks\/v2\/chapter-type?post=3483"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/wp\/v2\/contributor?post=3483"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus1\/wp-json\/wp\/v2\/license?post=3483"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}