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Suppose that over a certain region of Space the electrical potential if is. given by the following equation. x, y, z} = 4x2 Hy +

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Suppose that over a certain region of Space the electrical potential if is. given by the following equation. x, y, z} = 4x2 Hy + icy: {a} Find the rate of change of the potential at P116, 6, 4} in the direction of the vector v = i + j k. H X (lo) In which direction does if change most rapidly.r at P? H X {c} What is the maximum rate of change at P? H X

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