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Please help solve asap thanks Q5: Suppose that over a certain region of space, the electrical potential V is given by V(x, y, z) -

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Please help solve asap thanks

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Q5: Suppose that over a certain region of space, the electrical potential V is given by V(x, y, z) - 5x- - 3xy + xyz 1. Find the rate of change of V at P (3, 4, 5) in the direction of the vector d - 2 + 3 - k. 2. In which directions does V change most rapidly at P? 3. What is the maximum rate of change at P? Q6: Use cylindrical coordinates to find the volume of the solid bounded by the paraboloid z = ' + - and z - 16 Q7: Use spherical coordinates to evaluate V1-x2 V1-x2 - 12 VI- e( * + 12+ 2 2 ) 3/ dz dy dx

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