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UBA - CienciaS :: Ver Tema - [No Resuelto] Sin Fecha ,solo dice analisis I
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[No Resuelto] Sin Fecha ,solo dice analisis I
http://ubacs.com.ar/ubacs/viewtopic.php?f=37&t=784
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Autor:  nadia [ 21 Dic 2008, 15:57 ]
Asunto:  [No Resuelto] Sin Fecha ,solo dice analisis I






Autor:  exequiel131719 [ 21 Dic 2008, 22:38 ]
Asunto:  Re: [No Resuelto] Sin Fecha ,solo dice analisis I

Con respecto a la parte 2), la respuesta te la proporciona . Ahi está demostrado que si se anula en un solo punto la función, en ese punto alcanza un máximo y mínimo absoluto(en realidad, se prueba que si se anula en un solo punto, o es siempre positiva o negativa, salvo ese punto. De eso deducís que es un mínimo o máximo absoluto, según corresponda. Si le agregás la hipótesis de ... en particular es diferenciable, y luego, por ser un extremo absoluto, es un extremo, con lo que debe ser un punto crítico... ahi sale el final)
Para la parte 1):

Espero haber ayudado y haber sido claro. Saludos.

Autor:  santiago-kun [ 22 Dic 2008, 17:28 ]
Asunto:  Re: [No Resuelto] Sin Fecha ,solo dice analisis I

La primer parte habla de generalizar el teorema de Rolle para dos dimensiones, al menos así lo ví yo. Creo que podrías demostrarlo usando el TVM con dos puntos pertenecientes a la frontera de D.

Autor:  nadia [ 22 Dic 2008, 23:30 ]
Asunto:  Re: [No Resuelto] Sin Fecha ,solo dice analisis I

gracias chicos.....usando sus ideas lo entendi!!! :lol:

y nuevamente...gracias!

Autor:  Mr. David [ 08 Abr 2009, 13:45 ]
Asunto:  Re: [No Resuelto] Sin Fecha ,solo dice analisis I


Autor:  Quimey [ 08 Abr 2009, 14:01 ]
Asunto:  Re: [No Resuelto] Sin Fecha ,solo dice analisis I

Fijate que exequiel dice que NO es posible que pase eso

Autor:  mac2bua [ 03 Ago 2010, 20:44 ]
Asunto:  Re: [No Resuelto] Sin Fecha ,solo dice analisis I

Tengo una consulta, a mi se me ocurrió probar el punto de otra manera, la dejo aca abajo :

Puedo utilizar una curva para parametrizar D :

tal que con y

Se que

y queriamos ver que pero tomando tenemos que

, entonces encontre un punto en el cual esto no se cumple.

Para esto tuve en cuenta que existe, pues .

Me podrìan decir cual es el error que estoy cometiendo? ( que poca fe me tengo :D )

Autor:  ivoo [ 04 Ago 2010, 19:57 ]
Asunto:  Re: [No Resuelto] Sin Fecha ,solo dice analisis I

che me parece que le pifiaste al parametrizar una region de R2 con una curva, porque fijate que D es un circulo de radio 2 sin el borde. asi que si queres usar algo parecido a lo que hiciste intenta parametrizarla en polares es decir con las variantes r y thita

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