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Suppose that over a certain region of space the electrical potential V is given by the following equation. V(x, y, z) = 2x2 − 2xy + xyz (a) Find the rate of change of the potential at P(2, 2, 4) in the direction of the vector v = i + jk. 20√3​   (b) In which direction does V change most rapidly at P?     (c) What is the maximum rate of change at P? 15.874    

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