Advanced Math Archive: Questions from May 21, 2023
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Encuentre la derivada direccional de la función en el punto dado
en la dirección del vector v .
f(x, y, z) = x 2 y + y 2 z, (2, 4, 6), v =
<2, −1, 2>
D v f(2, 4, 6) = ??
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Encuentre la solución al problema de conducción de calor uxx =
4ut , 0 < x < 2 , t > 0 ,
u(0, t) = 0 , u(2, t) = 0 , t > 0 ,
u(x, 0) = 2 sin(πx/2) − sin(πx) + 4 sin(2πx), 0 ≤ x
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Considere la ecuación x^2+(y-2)^2 y la relación "(x, y) R (0,
2)", donde R se lee como "tiene una distancia de 1". Por ejemplo,
“(0, 3) R (0, 2)”, es decir, “(0, 3) tiene distancia 1 de (0, 2)
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