{"id":417,"date":"2024-11-22T11:07:25","date_gmt":"2024-11-22T17:07:25","guid":{"rendered":"https:\/\/minumero.wordpress.com\/?page_id=417"},"modified":"2024-11-22T12:22:22","modified_gmt":"2024-11-22T18:22:22","slug":"unidad-2","status":"publish","type":"page","link":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-2\/","title":{"rendered":"MN2 Ecuaciones no lineales"},"content":{"rendered":"\n<h2 class=\"has-text-color\" style=\"color:#2828e0\">Soluci\u00f3n a ecuaciones no lineales<\/h2>\n\n\n\n<p><a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-2\/mn2a\/\" data-type=\"page\" data-id=\"5754\">2.1 Ra\u00edces de una ecuaci\u00f3n.<\/a><br><a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/mn2b\/\" data-type=\"page\" data-id=\"5756\">2.2 Bisecci\u00f3n.<\/a><br><a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/mn2c\/\" data-type=\"page\" data-id=\"5758\">2.3 Newton-Raphson.<\/a><br><a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/mn2d\/\" data-type=\"page\" data-id=\"5760\">2.4 Secante. <\/a><br><a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/mn2e\/\" data-type=\"page\" data-id=\"5762\">2.5 Regla falsa. <\/a><br><a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/mn2f\/\" data-type=\"page\" data-id=\"5764\">2.6 Punto Fijo. <\/a><br><a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-2\/mn2g\/\"> 2.7 M\u00fcller. <\/a><\/p>\n\n\n\n<p>La Ecuaci\u00f3n es una igualdad entre dos expresiones<\/p>\n\n\n\n<p class=\"has-text-align-center\">y = 2x&nbsp; + 5<\/p>\n\n\n\n<p>A la variable independiente se le denomina dominio y a la variable dependiente se le dice rango. En el ejemplo, <strong><em>x <\/em><\/strong>es la variable independiente;&nbsp; <strong><em>y <\/em><\/strong>es la variable dependiente.<\/p>\n\n\n\n<p>Para un dominio de x de [-3, 5], el rango para y es [-1, 15],  su gr\u00e1fica o imagen se ve as\u00ed.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"624\" height=\"505\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/06\/image.png\" alt=\"\" class=\"wp-image-4961\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/06\/image.png 624w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2023\/06\/image-300x243.png 300w\" sizes=\"(max-width: 624px) 100vw, 624px\" \/><\/figure>\n\n\n\n<p>Cuando a&nbsp; cada elemento del dominio le corresponde solo un valor de la imagen, &nbsp;se dice que existe una funci\u00f3n entre las variables (x, y), tal que&nbsp; y = f(x)<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">x<\/td><td class=\"has-text-align-center\" data-align=\"center\">-3<\/td><td class=\"has-text-align-center\" data-align=\"center\">-2<\/td><td class=\"has-text-align-center\" data-align=\"center\">-1<\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">y<\/td><td class=\"has-text-align-center\" data-align=\"center\">-1<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">7<\/td><td class=\"has-text-align-center\" data-align=\"center\">9<\/td><td class=\"has-text-align-center\" data-align=\"center\">11<\/td><td class=\"has-text-align-center\" data-align=\"center\">13<\/td><td class=\"has-text-align-center\" data-align=\"center\">15<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Una funci\u00f3n lineal&nbsp; se expresa como&nbsp; <em>y = a + bx<\/em>, donde <em><strong>a <\/strong><\/em>es la ordenada al origen cuando x = 0; y <em><strong>b <\/strong><\/em>es la pendiente de la recta. Para el ejemplo y = 2x+5, <em>b = 2x<\/em>, <em>a = 5<\/em>. Si <em>b<\/em> es positivo la pendiente es creciente. Esto es, conforme aumenta <em>x<\/em> el valor de <em>y<\/em>&nbsp;tambi\u00e9n aumenta. Si <em>b<\/em> es negativo entonces la funci\u00f3n es decreciente. <\/p>\n\n\n\n<p>Cuando b = 0 la funci\u00f3n es una funci\u00f3n constante. <\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"300\" height=\"300\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2024\/11\/imagen-12.png\" alt=\"\" class=\"wp-image-6234\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2024\/11\/imagen-12.png 300w, https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-content\/uploads\/sites\/89\/2024\/11\/imagen-12-150x150.png 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-align-center\">Cuando la funci\u00f3n no es de la forma lineal, se le llama ecuaci\u00f3n no lineal &nbsp;y &nbsp;se emplean&nbsp; m\u00e9todos de soluci\u00f3n que se describen en esta unidad.<\/p>\n\n\n\n<h2 class=\"has-text-color\" style=\"color:#2828e0\">M\u00e9todos<\/h2>\n\n\n\n<div class=\"is-content-justification-center is-layout-flex wp-container-1 wp-block-buttons\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-dark-gray-color has-bright-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-2\/mn2b\/\">bisecci\u00f3n<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-dark-gray-color has-bright-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-2\/mn2c\/\">newton<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-dark-gray-color has-bright-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-2\/mn2d\/\">secante<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-dark-gray-color has-bright-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-2\/mn2e\/\">regla falsa<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-dark-gray-color has-bright-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-2\/mn2f\/\">punto fijo<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-dark-gray-color has-bright-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-2\/mn2g\/\">muller<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Soluci\u00f3n a ecuaciones no lineales 2.1 Ra\u00edces de una ecuaci\u00f3n.2.2 Bisecci\u00f3n.2.3 Newton-Raphson.2.4 Secante. 2.5 Regla falsa. 2.6 Punto Fijo. 2.7 M\u00fcller. La Ecuaci\u00f3n es una igualdad entre dos expresiones y = 2x&nbsp; + 5 A la variable independiente se le denomina dominio y a la variable dependiente se le dice rango. En el ejemplo, x &hellip; <a href=\"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/unidad-2\/\" class=\"more-link\">Contin\u00faa leyendo <span class=\"screen-reader-text\">MN2 Ecuaciones no lineales<\/span><\/a><\/p>\n","protected":false},"author":123458,"featured_media":0,"parent":0,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0},"_links":{"self":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/417"}],"collection":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/users\/123458"}],"replies":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/comments?post=417"}],"version-history":[{"count":22,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/417\/revisions"}],"predecessor-version":[{"id":6627,"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/pages\/417\/revisions\/6627"}],"wp:attachment":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/mnumericos\/wp-json\/wp\/v2\/media?parent=417"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}