The temperature at a point (x, y, z) is given by?

2015-04-03 1:08 am
The temperature at a point (x, y, z) is given by

T(x,y,z) = 10e^(-x^2-2y^2-3z^2)

In which direction does the temperature increase fastest at the point (3, 4, 2)?
Express your answer as a UNIT vector.

回答 (1)

2015-04-03 1:18 am
✔ 最佳答案
Inner product of grad t with unit vector from (-1,1,-1) to (4,-3,-5)...12.888/sqrt 57........grad T / |grad T|.......grad T evaluated at (-1,1,-1)


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