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f(x, y, z) = x y2 z3 and consider the point P(2, 1, 1). (a) Find...

f(x, y, z) = x y2 z3 and consider the point P(2, 1, 1).

(a) Find the directional derivative of f at P in the direction of Q(0, −3, 5).

(b) In which direction does f increase fastest at P?

(c) What is the maximal rate of increase of f at P?

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