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Suppose that over a certain region of space the electrical potential V is given by the...

Suppose that over a certain region of space the electrical potential V is given by the following equation. V(x,y,z)=3x^2 - 2xy +xyz

a. find the rate of change of the potential at P (4,6,5) in the direction of the vector v=i-j-k

b. In which direction does V change most rapidly at P?

c. What is the maximum rate of change at P?

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