{"id":360,"date":"2017-11-12T13:00:21","date_gmt":"2017-11-12T18:00:21","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=360"},"modified":"2025-12-04T08:18:24","modified_gmt":"2025-12-04T13:18:24","slug":"1eva2012ti_t1-cercania-lnx-origen","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-1eva20\/1eva2012ti_t1-cercania-lnx-origen\/","title":{"rendered":"1Eva2012TI_T1 Cercan\u00eda de ln(x) a punto de origen"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1ra Evaluaci\u00f3n I T\u00e9rmino 2012-2013. 3\/Julio\/2012. ICM00158<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong>. (30 puntos). Determine de ser posible, los puntos de la curva<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> y=ln(x) <\/span>\n\n\n\n<p>para x&gt;0, m\u00e1s cercanos al origen de coordenadas.<\/p>\n\n\n\n<p>a) Plantee la ecuaci\u00f3n que permita resolver matem\u00e1ticamente el problema.<\/p>\n\n\n\n<p>b) Determine de ser posible un intervalo de la soluci\u00f3n a la ecuaci\u00f3n planteada en el literal anterior.<\/p>\n\n\n\n<p>c) Aproxime la soluci\u00f3n num\u00e9rica de la ecuaci\u00f3n planteada, empleando el m\u00e9todo de Newton-Raphson con tolerancia de 10<sup>\u22126<\/sup>. Mostrar la tabla de resultados respectiva.<\/p>\n\n\n\n<p>d) Escriba las coordenadas del punto encontrado: (x,y)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"551\" height=\"435\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/11\/E1Eva_IT2012_T1DistanciaLnx.png\" alt=\"E1Eva_IT2012_T1DistanciaLnx\" class=\"wp-image-14073\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>1ra Evaluaci\u00f3n I T\u00e9rmino 2012-2013. 3\/Julio\/2012. ICM00158 Tema 1. (30 puntos). Determine de ser posible, los puntos de la curva para x&gt;0, m\u00e1s cercanos al origen de coordenadas. a) Plantee la ecuaci\u00f3n que permita resolver matem\u00e1ticamente el problema. b) Determine de ser posible un intervalo de la soluci\u00f3n a la ecuaci\u00f3n planteada en el literal [&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":[66],"class_list":["post-360","post","type-post","status-publish","format-standard","hentry","category-mn-1eva20","tag-raices"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/360","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=360"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/360\/revisions"}],"predecessor-version":[{"id":14074,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/360\/revisions\/14074"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=360"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=360"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=360"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}