{"id":4175,"date":"2019-09-10T21:23:11","date_gmt":"2019-09-11T02:23:11","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=4175"},"modified":"2026-01-31T08:39:24","modified_gmt":"2026-01-31T13:39:24","slug":"3eva2019ti_t2-integral-con-interpolacion","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-3eva20\/3eva2019ti_t2-integral-con-interpolacion\/","title":{"rendered":"3Eva2019TI_T2 Integral con interpolaci\u00f3n"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">3ra Evaluaci\u00f3n I T\u00e9rmino 2019-2020. 10\/Septiembre\/2019. MATG1013<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. (40 Puntos) Construya un polinomio que aproxime a<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> f(x) = sin(\\pi x)<\/span>\n\n\n\n<p>usando los puntos x=0, \u03c0\/4, \u03c0\/2 y aproxime la integral de 0 a \u03c0\/2.<\/p>\n\n\n\n<p>a. Realice la interpolaci\u00f3n mediante el m\u00e9todo de trazador c\u00fabico fijo<\/p>\n\n\n\n<p>b. Integre usando el m\u00e9todo de cuadratura de Gauss<\/p>\n\n\n\n<p>c. Estime el error para el ejercicio.<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: Bosquejo de gr\u00e1ficas (5 puntos), literal a, planteo de f\u00f3rmulas (5 puntos), calcula los par\u00e1metros (10 puntos), literal b (15 puntos), literal c (5 puntos).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3ra Evaluaci\u00f3n I T\u00e9rmino 2019-2020. 10\/Septiembre\/2019. MATG1013 Tema 2. (40 Puntos) Construya un polinomio que aproxime a usando los puntos x=0, \u03c0\/4, \u03c0\/2 y aproxime la integral de 0 a \u03c0\/2. a. Realice la interpolaci\u00f3n mediante el m\u00e9todo de trazador c\u00fabico fijo b. Integre usando el m\u00e9todo de cuadratura de Gauss c. Estime el error [&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":[59,60],"class_list":["post-4175","post","type-post","status-publish","format-standard","hentry","category-mn-3eva20","tag-integracion-numerica","tag-interpolacion-polinomica"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/4175","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=4175"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/4175\/revisions"}],"predecessor-version":[{"id":17689,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/4175\/revisions\/17689"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=4175"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=4175"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=4175"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}