Consider the following. f(x, y, z) = x²yz - xyz, P(6, -1, 1), u = (0, (a) Find the gradient of f. vf(x, y, z) = 2xyz - yz,xz (2xyz - yz8,x²z-xz8x2y (b) Evaluate the gradient at the point P. Vf(6, -1, 1) = - 8xyz) (c) Find the rate of change of fat P in the direction of the vector u. Duf(6, -1, 1) =

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A:

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Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Solution is attachedExplanation:Step 1: Step 2: Step 3: Step 4:

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A: 3)Option C is correct answer  4)Option A is correct answer  Explanation:

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