{"id":512,"date":"2017-12-02T08:07:14","date_gmt":"2017-12-02T13:07:14","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=512"},"modified":"2026-04-05T05:42:13","modified_gmt":"2026-04-05T10:42:13","slug":"1eva2017tii_t1-aproximar-polinomio-contaylor","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-1eva20\/1eva2017tii_t1-aproximar-polinomio-contaylor\/","title":{"rendered":"1Eva2017TII_T1 Aproximar con polinomio con muestras"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n II T\u00e9rmino 2017-2018. 28\/Noviembre\/2017. MATG1013<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong>. (25 puntos) Se sabe que f \u2208 C<sup>3<\/sup>[a, b] y tiene la siguiente tabla:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>x<\/td><td>0<\/td><td>0.2<\/td><td>0.4<\/td><\/tr><tr><td>f(x)<\/td><td>1<\/td><td>1.6<\/td><td>2.0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>a) Encuentre el polinomio de Taylor de grado 2 alrededor de <br>X<sub>0<\/sub> = 0.2 para aproximar a f(x)<\/p>\n\n\n\n<p>b) Aproxime<\/p>\n\n\n\n<div class=\"wp-block-group is-content-justification-center is-nowrap is-layout-flex wp-container-core-group-is-layout-23441af8 wp-block-group-is-layout-flex\">\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\int_{0}^{0.4}f(x)dx<\/span>\n\n\n\n<p>por medio de<\/p>\n\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\">\\int_{0}^{0.4}P_{2}(x)dx<\/span>\n<\/div>\n\n\n\n<p>Estime el error suponiendo que <span class=\"wp-katex-eq\" data-display=\"false\">f'''(\\epsilon ) =1<\/span><\/p>\n\n\n\n<p><em><strong>R\u00fabrica<\/strong><\/em>: Plantear el polinomio hasta (5 puntos), hallar las derivadas hasta (10 puntos), hallar la integral hasta (5 puntos) hallar el error hasta (5 puntos).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n II T\u00e9rmino 2017-2018. 28\/Noviembre\/2017. MATG1013 Tema 1. (25 puntos) Se sabe que f \u2208 C3[a, b] y tiene la siguiente tabla: x 0 0.2 0.4 f(x) 1 1.6 2.0 a) Encuentre el polinomio de Taylor de grado 2 alrededor de X0 = 0.2 para aproximar a f(x) b) Aproxime por medio de Estime [&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":[11],"tags":[60],"class_list":["post-512","post","type-post","status-publish","format-standard","hentry","category-mn-1eva20","tag-interpolacion-polinomica"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/512","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=512"}],"version-history":[{"count":10,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/512\/revisions"}],"predecessor-version":[{"id":21260,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/512\/revisions\/21260"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=512"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=512"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=512"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}