Modulo 2 C\303\241lculo Multivariables
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define el gradiente de f(x,y), cuyas componentes son u(x,y) y v(x,y), como:#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#Sea g(x,y,c) la funcion de diferencia de altura entre el punto incial y el siguiente en direccion al gradiente#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#Calcularemos g(3,4,c) para luego maximizarla y encontrar el punto c para el cual obtenemos un maximo en direccion del primer gradiente#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B y C son numeros imaginarios el unico valor posible de c es A##a continuacion encontraremos el nuevo punto al cual representa A#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<Text-field style="Heading 2" layout="Heading 2">a)</Text-field>JSFH#Encontremos X2#LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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#Se define el gradiente de f(x,y), cuyas componentes son u(x,y) y v(x,y), como:#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#Sea g(x,y,c) la funcion de diferencia de altura entre el punto incial y el siguiente en direccion al gradiente#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#Calcularemos g(3,4,c) para luego maximizarla y encontrar el punto c para el cual obtenemos un maximo en direccion del primer 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B y C son numeros imaginarios el unico valor posible de c es A##a continuacion encontraremos el nuevo punto al cual representa 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define el gradiente de f(x,y), cuyas componentes son u(x,y) y v(x,y), como:#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#Sea g(x,y,c) la funcion de diferencia de altura entre el punto incial y el siguiente en direccion al gradiente#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#Calcularemos g(.8555074932, -.1683277259,c) para luego maximizarla y encontrar el punto c para el cual obtenemos un maximo en direccion del primer gradiente#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#Como B y C son numeros imaginarios el unico valor posible de c es A##a continuacion encontraremos el nuevo punto al cual representa A#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#Encontremos X4#LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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#Se define el gradiente de f(x,y), cuyas componentes son u(x,y) y v(x,y), como:#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#Sea g(x,y,c) la funcion de diferencia de altura entre el punto incial y el siguiente en direccion al gradiente#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#Calcularemos g(.8555074932, -.1683277259,c) para luego maximizarla y encontrar el punto c para el cual obtenemos un maximo en direccion del primer gradiente#LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSVkaWZmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNigtRiw2JVEiZ0YnRjRGNy1GOzYkLUYjNiktSSNtbkdGJDYkUS0wLjk4MTAxMzIwNDFGJy9GOFEnbm9ybWFsRictSSNtb0dGJDYtUSIsRidGSi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZSLyUqc3ltbWV0cmljR0ZSLyUobGFyZ2VvcEdGUi8lLm1vdmFibGVsaW1pdHNHRlIvJSdhY2NlbnRHRlIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GRzYkUSwwLjAxMjk1ODMwMUYnRkpGTC1GLDYlUSJjRidGNEY3LyUrZXhlY3V0YWJsZUdGUkZKRkpGTEZib0Zlb0ZKRkpGZW9GSkYrRmVvRko=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRImNGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQC1JI21vR0YkNi1RKiZjb2xvbmVxO0YnRkAvJSZmZW5jZUdGPy8lKnNlcGFyYXRvckdGPy8lKXN0cmV0Y2h5R0Y/LyUqc3ltbWV0cmljR0Y/LyUobGFyZ2VvcEdGPy8lLm1vdmFibGVsaW1pdHNHRj8vJSdhY2NlbnRHRj8vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZWLUYjNiktRkM2LVEqJnVtaW51czA7RidGQEZGRkhGSkZMRk5GUEZSL0ZVUSwwLjIyMjIyMjJlbUYnL0ZYRmluLUYjNictRjY2JC1GIzYoLUkjbW5HRiQ2JFEtMC41Nzk1MzEyOTQyRidGQC1GQzYtUSIrRidGQEZGRkhGSkZMRk5GUEZSRmhuRmpuLUYjNictRmJvNiRRLjAuMDYzODc3MDMxMzhGJ0ZALUZDNi1RMSZJbnZpc2libGVUaW1lcztGJ0ZARkZGSEZKRkxGTkZQRlIvRlVRJjAuMGVtRicvRlhGYXBGOkY9RkAtRiw2I1EhRidGPUZARkBGXXAtRjY2JC1GIzYpRmNwLUYjNiUtSSVtc3VwR0YkNiUtRjY2JC1GIzYpRmVuLUZibzYkUS0wLjAxODk4Njc5NTlGJ0ZARmVvLUYjNictRmJvNiRRLTAuMTQ2OTM2ODQ4NEYnRkBGXXBGOkY9RkBGY3BGPUZARkAtRmJvNiRRIjJGJ0ZALyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y9RkBGZW8tRiM2JS1GXXE2JS1GNjYkLUYjNigtRmJvNiRRLDAuMDEyOTU4MzAxRidGQC1GQzYtUSgmbWludXM7RidGQEZGRkhGSkZMRk5GUEZSRmhuRmpuLUYjNictRmJvNiRRLTAuMTAxNzI1NTA0NUYnRkBGXXBGOkY9RkBGY3BGPUZARkBGW3JGXnJGPUZARmNwRj1GQEZARj1GQEZccy1GIzYnLUY2NiQtRiM2KUZjcC1GIzYlLUZdcTYlLUY2NiQtRiM2KC1GYm82JFEsMS45ODEwMTMyMDRGJ0ZARmVvRmZxRmNwRj1GQEZARltyRl5yRj1GQEZlb0ZhckZjcEY9RkBGQEZdcC1GNjYkLUYjNipGZW4tRmJvNiRRLzAuMDA4MjE2MDk5MzE2RidGQEZlb0Zqby1GQzYtUSJ+RidGQEZGRkhGSkZMRk5GUEZSRmBwRmJwRjpGPUZARkBGPUZARmNwRj1GQEZjcEY9RkA=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEmc29sdmVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2KC1GLDYlUSJoRidGL0YyLUY2NiQtRiM2JS1GLDYlUSJjRidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkctSSNtb0dGJDYtUSI9RidGRy8lJmZlbmNlR0ZGLyUqc2VwYXJhdG9yR0ZGLyUpc3RyZXRjaHlHRkYvJSpzeW1tZXRyaWNHRkYvJShsYXJnZW9wR0ZGLyUubW92YWJsZWxpbWl0c0dGRi8lJ2FjY2VudEdGRi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRmduLUkjbW5HRiQ2JFEiMEYnRkdGREZHRkctRiw2I1EhRidGREZHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEtMC4xMjg2MjM2MzM0RidGOS8lK2V4ZWN1dGFibGVHRj1GOQ==#Como B y C son numeros imaginarios el unico valor posible de c es A##a continuacion encontraremos el nuevo punto al cual representa A#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#Encontremos X5#LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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#Se define el gradiente de f(x,y), cuyas componentes son u(x,y) y v(x,y), como:#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#Sea g(x,y,c) la funcion de diferencia de altura entre el punto incial y el siguiente en direccion al gradiente#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#Calcularemos g(.8555074932, -.1683277259,c) para luego maximizarla y encontrar el punto c para el cual obtenemos un maximo en direccion del primer gradiente#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#Como B y C son numeros imaginarios el unico valor posible de c es A##a continuacion encontraremos el nuevo punto al cual representa 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<Text-field style="Heading 2" layout="Heading 2">b)X0=-1,2</Text-field>#Encontremos 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define el gradiente de f(x,y), cuyas componentes son u(x,y) y v(x,y), como:#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#Sea g(x,y,c) la funcion de diferencia de altura entre el punto incial y el siguiente en direccion al gradiente#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#Calcularemos g(3,4,c) para luego maximizarla y encontrar el punto c para el cual obtenemos un maximo en direccion del primer gradiente#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#Como B y C son numeros imaginarios el unico valor posible de c es A##a continuacion encontraremos el nuevo punto al cual representa A#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#Encontremos X2#LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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#Se define el gradiente de f(x,y), cuyas componentes son u(x,y) y v(x,y), como:#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#Sea g(x,y,c) la funcion de diferencia de altura entre el punto incial y el siguiente en direccion al gradiente#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#Calcularemos g(.8555074932, -.1683277259,c) para luego maximizarla y encontrar el punto c para el cual obtenemos un maximo en direccion del primer gradiente#LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSVkaWZmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNigtRiw2JVEiZ0YnRjRGNy1GOzYkLUYjNiotSSNtb0dGJDYtUSomdW1pbnVzMDtGJy9GOFEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRk4vJSlzdHJldGNoeUdGTi8lKnN5bW1ldHJpY0dGTi8lKGxhcmdlb3BHRk4vJS5tb3ZhYmxlbGltaXRzR0ZOLyUnYWNjZW50R0ZOLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGZ24tSSNtbkdGJDYkUS0wLjM2Mzc4MzQyNTNGJ0ZKLUZHNi1RIixGJ0ZKRkwvRlBGNkZRRlNGVUZXRlkvRmZuUSYwLjBlbUYnL0ZpblEsMC4zMzMzMzMzZW1GJy1GW282JFEsMC4wOTEzNTAyNzZGJ0ZKRl5vLUYsNiVRImNGJ0Y0RjcvJStleGVjdXRhYmxlR0ZORkpGSkZeb0Zpb0ZccEZKRkpGXHBGSkYrRlxwRko=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRImNGJ0YvRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRidGQC1JI21vR0YkNi1RKiZjb2xvbmVxO0YnRkAvJSZmZW5jZUdGPy8lKnNlcGFyYXRvckdGPy8lKXN0cmV0Y2h5R0Y/LyUqc3ltbWV0cmljR0Y/LyUobGFyZ2VvcEdGPy8lLm1vdmFibGVsaW1pdHNHRj8vJSdhY2NlbnRHRj8vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZWLUYjNiktRkM2LVEqJnVtaW51czA7RidGQEZGRkhGSkZMRk5GUEZSL0ZVUSwwLjIyMjIyMjJlbUYnL0ZYRmluLUYjNictRjY2JC1GIzYpRmVuLUkjbW5HRiQ2JFEsMS42NjcyMjc2NzVGJ0ZALUZDNi1RIitGJ0ZARkZGSEZKRkxGTkZQRlJGaG5Gam4tRiM2Jy1GYm82JFEsMy40NzQ1NjAxNTFGJ0ZALUZDNi1RMSZJbnZpc2libGVUaW1lcztGJ0ZARkZGSEZKRkxGTkZQRlIvRlVRJjAuMGVtRicvRlhGYXBGOkY9RkAtRiw2I1EhRidGPUZARkBGXXAtRjY2JC1GIzYpRmNwLUYjNiUtSSVtc3VwR0YkNiUtRjY2JC1GIzYpRmVuLUZibzYkUSwxLjM2Mzc4MzQyNUYnRkAtRkM2LVEoJm1pbnVzO0YnRkBGRkZIRkpGTEZORlBGUkZobkZqbi1GIzYnLUZibzYkUSwxLjI1MDQyMDc1NkYnRkBGXXBGOkY9RkBGY3BGPUZARkAtRmJvNiRRIjJGJ0ZALyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y9RkBGZW8tRiM2JS1GXXE2JS1GNjYkLUYjNigtRmJvNiRRLDAuMDkxMzUwMjc2RidGQEZmcS1GIzYnLUZibzYkUS0wLjQxNjgwNjkxOThGJ0ZARl1wRjpGPUZARmNwRj1GQEZARl5yRmFyRj1GQEZjcEY9RkBGQEY9RkBGZnEtRiM2Jy1GNjYkLUYjNilGY3AtRiM2JS1GXXE2JS1GNjYkLUYjNigtRmJvNiRRLTAuNjM2MjE2NTc0N0YnRkBGZnFGaXFGY3BGPUZARkBGXnJGYXJGPUZARmVvRmRyRmNwRj1GQEZARl1wLUY2NiQtRiM2KS1GYm82JFEsMy4zMzQ0NTUzNDhGJ0ZARmVvRmpvRl1wRjpGPUZARkBGPUZARmNwRj1GQEZjcEY9RkA=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEmc29sdmVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2KC1GLDYlUSJoRidGL0YyLUY2NiQtRiM2JS1GLDYlUSJjRidGL0YyLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjNRJ25vcm1hbEYnRkctSSNtb0dGJDYtUSI9RidGRy8lJmZlbmNlR0ZGLyUqc2VwYXJhdG9yR0ZGLyUpc3RyZXRjaHlHRkYvJSpzeW1tZXRyaWNHRkYvJShsYXJnZW9wR0ZGLyUubW92YWJsZWxpbWl0c0dGRi8lJ2FjY2VudEdGRi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRmduLUkjbW5HRiQ2JFEiMEYnRkdGREZHRkctRiw2I1EhRidGREZHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEtMC40NzQ5MjczNzY5RidGOS8lK2V4ZWN1dGFibGVHRj1GOQ==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYjNiYtRjY2LVEqJnVtaW51czA7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORlUtSSNtbkdGJDYkUS0wLjM2NTM1NTcyMzNGJ0Y5LyUrZXhlY3V0YWJsZUdGPUY5LUYsNiNRIUYnRmVuRjk=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYjNiYtRjY2LVEqJnVtaW51czA7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORlUtSSNtbkdGJDYkUS0wLjgyOTMyOTM3ODZGJ0Y5LyUrZXhlY3V0YWJsZUdGPUY5LUYsNiNRIUYnRmVuRjk=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEkWDIxRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiM2Ji1GLDYjUSFGJy1JKG1mZW5jZWRHRiQ2Ji1GIzY0LUY2Ni1RKiZ1bWludXMwO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZnbi1JI21uR0YkNiRRLTAuMzYzNzgzNDI1M0YnRjktRjY2LVEiK0YnRjlGO0Y+RkBGQkZERkZGSEZmbkZobi1GLDYlUSJhRidGL0YyLUY2Ni1RJyZzZG90O0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZnby1GLDYlUSJ1RidGL0YyLUZVNiQtRiM2KEZZRmluLUY2Ni1RIixGJ0Y5RjsvRj9GMUZARk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evaluaremos los 3 candidatos a maximo en la funcion para saber cual es el maximo entre ellos#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#como q genera el maximo el X3 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X3#LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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#Se define el gradiente de f(x,y), cuyas componentes son u(x,y) y v(x,y), como:#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#Sea g(x,y,c) la funcion de diferencia de altura entre el punto incial y el siguiente en direccion al gradiente#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#Calcularemos g(.8555074932, -.1683277259,c) para luego maximizarla y encontrar el punto c para el cual obtenemos un maximo en direccion del primer gradiente#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#Como B y C son numeros imaginarios el unico valor posible de c es A##a continuacion encontraremos el nuevo punto al cual representa A#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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFH
<Text-field style="Heading 2" layout="Heading 2">c)X0=1,1</Text-field>#Encontremos X1#LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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#Se define el gradiente de f(x,y), cuyas componentes son u(x,y) y v(x,y), como:#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#Sea g(x,y,c) la funcion de diferencia de altura entre el punto incial y el siguiente en direccion al gradiente#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#Calcularemos g(3,4,c) para luego maximizarla y encontrar el punto c para el cual obtenemos un maximo en direccion del primer gradiente#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#Como B y C son numeros imaginarios el unico valor posible de c es A##a continuacion encontraremos el nuevo punto al cual representa 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define el gradiente de f(x,y), cuyas componentes son u(x,y) y v(x,y), 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g(x,y,c) la funcion de diferencia de altura entre el punto incial y el siguiente en direccion al gradiente#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#Calcularemos g(.8555074932, -.1683277259,c) para luego maximizarla y encontrar el punto c para el cual obtenemos un maximo en direccion del primer gradiente#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evaluaremos los 3 candidatos a maximo en la funcion para saber cual es el maximo entre ellos#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#como q genera el maximo el X3 es#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#Encontremos X3#LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==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#Se define el gradiente de f(x,y), cuyas componentes son u(x,y) y v(x,y), como:#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#Sea g(x,y,c) la funcion de diferencia de altura entre el punto incial y el siguiente en direccion al gradiente#LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYnLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGPS1GLDYlUSJjRidGL0YyRkEtRj42LVEqJmNvbG9uZXE7RidGQUZDL0ZHRkVGSEZKRkxGTkZQL0ZTUSwwLjI3Nzc3NzhlbUYnL0ZWRl1vLUYsNiVRImZGJ0YvRjItRjY2JC1GIzYvRjotRj42LVEiK0YnRkFGQ0Zbb0ZIRkpGTEZORlAvRlNRLDAuMjIyMjIyMmVtRicvRlZGam9GZW4tRj42LVEnJnNkb3Q7RidGQUZDRltvRkhGSkZMRk5GUEZSL0ZWRlQtRiw2JVEidUYnRi9GMi1GNjYkLUYjNiVGOkY9RlhGQUY9RlhGZm9GZW5GXHAtRiw2JVEidkYnRi9GMkZjcEZBLUY+Ni1RKCZtaW51cztGJ0ZBRkNGW29GSEZKRkxGTkZQRmlvRltwRl9vRmNw#Calcularemos g(.8555074932, -.1683277259,c) para luego maximizarla y encontrar el punto c para el cual obtenemos un maximo en direccion del primer grad.1985415202-1.502650364*ciente#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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEtMC4xMjYyNzY5NjQ4RidGOQ==#Como B y C son numeros imaginarios el unico valor posible de c es A##a continuacion encontraremos el nuevo punto al cual representa A#LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEjWDNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2Ji1GIzY0LUkjbW5HRiQ2JFEtMC45OTMwMzczMDEyRidGOS1GNjYtUSIrRidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORmZuLUYsNiVRImFGJ0YvRjItRjY2LVEnJnNkb3Q7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORl9vLUYsNiVRInVGJ0YvRjItRlA2JC1GIzYoRlQtRjY2LVEiLEYnRjlGOy9GP0YxRkBGQkZERkZGSEZeby9GTlEsMC4zMzMzMzMzZW1GJy1GNjYtUSomdW1pbnVzMDtGJ0Y5RjtGPkZARkJGREZGRkhGZW5GZ24tRlU2JFEuMC4wMjAxOTg3NTEyMEYnRjkvJStleGVjdXRhYmxlR0Y9RjlGOUZob0ZecEZhcEZYRmhuRltvLUYsNiVRInZGJ0YvRjJGZG9GaG8tRlU2JFEiMEYnRjlGZHBGOUY5LyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRmRwRjk=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUkjbW5HRiQ2JFEtMC45OTk3OTMxOTQyRicvRjNRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRj4vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGRi8lKnN5bW1ldHJpY0dGRi8lKGxhcmdlb3BHRkYvJS5tb3ZhYmxlbGltaXRzR0ZGLyUnYWNjZW50R0ZGLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjs2JFEuMC4wMDAwNjg5MjczNkYnRj5GPg==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHJSFH
<Text-field style="Heading 1" layout="Heading 1">4</Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==PkkiZkc2ImYqNiRJInhHRiRJInlHRiRGJDYkSSlvcGVyYXRvckdGJEkmYXJyb3dHRiRGJCwmIiQrIiIiIiomLCYqJCwmOSRGLkkiaEdGJCEiIiIiI0YuKiQsJjklRi5JImtHRiRGNUY2Ri5GLiwmKiQsJkYzRi5JInNHRiRGNUY2Ri4qJCwmRjlGLkkidEdGJEY1RjZGLkYuRjVGJEYkRiQ=print(); # input placeholderel criterio sigue siendo el mismo , soloq ue cambian los puntos ya que la superficie en este caso esta expusta a una translacion , a su vez podriamos decir que los maximos y minimos en una superficie no cambian si esta se transaldaJSFH