{"id":759,"date":"2017-11-10T16:00:42","date_gmt":"2017-11-10T21:00:42","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=759"},"modified":"2026-04-12T08:39:58","modified_gmt":"2026-04-12T13:39:58","slug":"1eva2010tii_t1-aproximar-con-polinomio","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-1eva10\/1eva2010tii_t1-aproximar-con-polinomio\/","title":{"rendered":"1Eva2010TII_T1 Aproximar con polinomio f(x) no lineal"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n II T\u00e9rmino 2010-2011. 7\/Diciembre\/2010. ICM00158<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong>. La funci\u00f3n de variable real f(x) ser\u00e1 aproximada con el polinomio de segundo grado P(x) que incluye los tres puntos:<\/p>\n\n\n\n<p class=\"has-text-align-center\"> f(0), f(\u03c0\/2), f(\u03c0)<\/p>\n\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> f(x) = e^{x} \\cos (x) +1 <\/span>\n\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> 0 \\leq x \\leq \\pi <\/span>\n\n\n\n<p>Encuentre la magnitud del mayor error E(x) = f(x) -P(x), que se producir\u00eda al usar esta aproximaci\u00f3n. <\/p>\n\n\n\n<p>Resuelva la ecuaci\u00f3n no lineal resultante con la f\u00f3rmula de Newton con un error m\u00e1ximo de 0.0001.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"568\" height=\"420\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/11\/1Eva2010TII_T1_expcos.png\" alt=\"f(x) = exp(x)cos(x) + 1 gr\u00e1fica\" class=\"wp-image-21252\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n II T\u00e9rmino 2010-2011. 7\/Diciembre\/2010. ICM00158 Tema 1. La funci\u00f3n de variable real f(x) ser\u00e1 aproximada con el polinomio de segundo grado P(x) que incluye los tres puntos: f(0), f(\u03c0\/2), f(\u03c0) Encuentre la magnitud del mayor error E(x) = f(x) -P(x), que se producir\u00eda al usar esta aproximaci\u00f3n. Resuelva la ecuaci\u00f3n no lineal resultante [&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":[9],"tags":[60],"class_list":["post-759","post","type-post","status-publish","format-standard","hentry","category-mn-1eva10","tag-interpolacion-polinomica"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/759","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=759"}],"version-history":[{"count":9,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/759\/revisions"}],"predecessor-version":[{"id":21255,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/759\/revisions\/21255"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=759"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=759"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=759"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}