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1.- Se realiza un experimento y se determina que la temperatura en una caja rectangular se expresa de la siguiente forma: T(x, y,z) = xyz(1

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1.- Se realiza un experimento y se determina que la temperatura en una caja rectangular se expresa de la siguiente forma: T(x, y,z) = xyz(1 - x)(2 -y) (3-z) Con los siguientes intervalos: 0 IA Sys2 Suponga que un insecto se localiza en el punto (1/2, 1, 1). Determine la direccion a la que se debe de dirigir para lograr enfriarse en el menor tiempo posible. 2.- Encuentro la ecuacion del plano tangente a la grafica x2 - 4y2 + z = 16 en el punto (2, 1, 4). 3.- Encuentro la ecuacion del plano tangente a la grafica z = 4x + y en el punto (-1, 3, 5 )

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