Tarea 8c- Curvas ortogonales

Tarea 8c- Curvas ortogonales - TAREA 8c Tema Curvas...

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TAREA 8c Tema: Curvas Ortogonales: Curvas equipotenciales y líneas de campo gradiente. Nombre: ________________________________________________________ Grupo: _____ lista: ____ Problemas 3. En cada inciso tenemos una función de Temperatura T ( x , y ) en una placa y un punto P =( x 0 , y 0 ) de la placa. 1. T ( x , y ) = 100 4 x 2 y 2 P =( 1,3 ) 2. T ( x , y ) = x 2 + y 2 + 4 P =(− 2, 4 ) 3. T ( x , y ) = 6 x 2 y + 12 P =( 1, 5 ) Obtén para cada caso lo siguiente: a. Obtén la ecuación general de la isoterma (curvas de nivel). b. Haz un dibujo de la gráfica de la isoterma y del vector gradiente para el punto dado. c. Obtén la ecuación general de las líneas de campo gradiente. d. Obtén la ecuación de las líneas de campo gradiente para el punto dado y realiza su gráfica,
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  • Fall '09
  • NUCAMENDI
  • Punto, Curva, Linea, Función matemática, Isoterma, Curvas equipotenciales

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