{"id":8881,"date":"2017-02-28T18:54:25","date_gmt":"2017-02-28T17:54:25","guid":{"rendered":"http:\/\/www.matematicaok.com\/?p=8881"},"modified":"2017-03-03T10:39:05","modified_gmt":"2017-03-03T09:39:05","slug":"esercizio-9-problema-di-massimo","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=8881","title":{"rendered":"Esercizio 9 &#8211; Problema di massimo"},"content":{"rendered":"<p>Date le parabole di equazioni \u00a0y<sup>2<\/sup> = x \u00a0e \u00a0y<sup>2<\/sup> = &#8211; 16 x &#8211; 64 \u00a0nella zona finita di piano delimitata dalle due parabole inscrivi un rettangolo con i lati paralleli agli assi. Calcola l&#8217;altezza del rettangolo in modo che abbia\u00a0volume massimo il cilindro ottenuto dalla rotazione completa del rettangolo intorno all&#8217;asse x.<\/p>\n<p><a href=\"http:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9a_ProblemiMax.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-8886\" src=\"http:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9a_ProblemiMax.jpg\" alt=\"\" width=\"880\" height=\"1014\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9a_ProblemiMax.jpg 880w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9a_ProblemiMax-260x300.jpg 260w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9a_ProblemiMax-768x885.jpg 768w\" sizes=\"auto, (max-width: 880px) 100vw, 880px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9b_ProblemiMax.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-8892\" src=\"http:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9b_ProblemiMax-699x1024.jpg\" alt=\"\" width=\"677\" height=\"992\" srcset=\"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9b_ProblemiMax-699x1024.jpg 699w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9b_ProblemiMax-205x300.jpg 205w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9b_ProblemiMax-768x1125.jpg 768w, https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9b_ProblemiMax.jpg 1197w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Date le parabole di equazioni \u00a0y2 = x \u00a0e \u00a0y2 = &#8211; 16 x &#8211; 64 \u00a0nella zona finita di piano delimitata dalle due parabole inscrivi un rettangolo con i lati paralleli agli assi. Calcola l&#8217;altezza del rettangolo in modo che abbia\u00a0volume massimo il cilindro ottenuto dalla rotazione completa del rettangolo intorno all&#8217;asse x.<\/p>\n","protected":false},"author":1,"featured_media":8886,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[143,127,270],"tags":[],"class_list":["post-8881","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-analisi-matematica","category-esercizi-svolti","category-problemi-di-massimo"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/www.matematicaok.com\/wp-content\/uploads\/2017\/03\/Es9a_ProblemiMax.jpg","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-2jf","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8881","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8881"}],"version-history":[{"count":4,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8881\/revisions"}],"predecessor-version":[{"id":8893,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8881\/revisions\/8893"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/media\/8886"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8881"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8881"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8881"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}