Mathematics, 18.11.2019 22:31 plantkiana677oxa6hk

Suppose that over a certain region of space the electrical potential v is given by the following equation.

v(x, y, z) = 2x2 − 3xy + xyz

(a) find the rate of change of the potential at p(2, 2, 5) in the direction of the vector

v = i + j − k.

(b) in which direction does v change most rapidly at p?

(c) what is the maximum rate of change at p?

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