Answered: 5. Över a certain region the éléctrie… | bartleby

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5.
Over a certain region the electric potential V is given by V
4x - 2xy + xyz.
(a) Find the rate of change of the potential at P(3, 4, 5) in the direction of the vector (1,-1,-1).
(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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