Suppose that over a certain region of space the electrical potential V is given by the following equation. V(x, y, z) = 3x2 – 2xy + xyz (a) Find the rate of change of the potential at P(3, 4, 4) in the direction of the vector v = i +j-k. 20 V3 (b) In which direction does V change most rapidly at P? 5i 3k V 35 V 35 V 35 (c) What is the maximum rate of change at P? V 856

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