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  3. suppose that over a certain region of space the el

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

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Advance Math

Suppose that over a certain region of space the electricalpotential V is given by the following equation.

V(x, y,z) = 4x2 ?4xy + xyz

(a) Find the rate of change of the potential at P(3, 6,6) in the direction of the vector v =i + j ? k.
???
(b) In which direction does V change most rapidly atP?

???
(c) What is the maximum rate of change at P?

???

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