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Question

Suppose that over a certain region of space the electrical

potential V is given by V(x, y, z) = x^2 − 3xy + xyz.

(a) Find the rate of change of the potential at P(3,4,5) 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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Math

Algebra

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