: Suppose that over a certain region of space the electrical potential V is given by the following equation.
(X, Y, z) = 5x – 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) is the maximum rate of change at P?
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