{"id":886,"date":"2017-12-14T18:00:01","date_gmt":"2017-12-14T23:00:01","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=886"},"modified":"2026-04-05T06:09:19","modified_gmt":"2026-04-05T11:09:19","slug":"3eva2014tii_t1-integral-en-superficie","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-3eva20\/3eva2014tii_t1-integral-en-superficie\/","title":{"rendered":"3Eva2014TII_T1 Integral en superficie"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">3ra Evaluaci\u00f3n II T\u00e9rmino 2014-2015. 10\/Marzo\/2015. ICM00158<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong>. El \u00e1rea de la superficie descrita por z=f(x,y) para (x,y) en R est\u00e1 dada por<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\int_R \\int \\sqrt{\\big[f_x(x,y) \\big]^2 + \\big[f_y(x,y) \\big]^2 +1} \\text{ } \\delta A <\/span>\n\n\n\n<p>Aproxime el valor de la integral con el m\u00e9todo de Simpson 1\/3 en ambas direcciones con <strong>n <\/strong>= <strong>m <\/strong>= 2, para el \u00e1rea de la superficie en el hemisferio<\/p>\n\n\n\n<p class=\"has-text-align-center\">x<sup>2<\/sup> + y<sup>2<\/sup> + z<sup>2<\/sup> = 9,<\/p>\n\n\n\n<p class=\"has-text-align-center\">z \u2265 0<\/p>\n\n\n\n<p>que se encuentra arriba de la regi\u00f3n R en el plano descrito por<\/p>\n\n\n\n<p class=\"has-text-align-center\">R={(x,y), 0 \u2264 x \u2264 1, 0 \u2264 y \u2264 1}<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3ra Evaluaci\u00f3n II T\u00e9rmino 2014-2015. 10\/Marzo\/2015. ICM00158 Tema 1. El \u00e1rea de la superficie descrita por z=f(x,y) para (x,y) en R est\u00e1 dada por Aproxime el valor de la integral con el m\u00e9todo de Simpson 1\/3 en ambas direcciones con n = m = 2, para el \u00e1rea de la superficie en el hemisferio x2 [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[28],"tags":[59],"class_list":["post-886","post","type-post","status-publish","format-standard","hentry","category-mn-3eva20","tag-integracion-numerica"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/886","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=886"}],"version-history":[{"count":2,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/886\/revisions"}],"predecessor-version":[{"id":17744,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/886\/revisions\/17744"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=886"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=886"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=886"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}