Q4 Consider the function f(r, y, z) = ry + y² + 2?. (a) What is the gradient grad f of f, and what is its value at the point (2, 1, 1)? (b) What is the rate of change of f at the point (2, 1, 1) in the direction of the unit vector în = i+ j? (c) What is the maximum rate of change of f at the point (2,1, 1), and in what direction does this maximum value occur? Transcribed Image Text: Consider the function f(r, y, z) = ry +y? + 22. (a) What is the gradient grad fof f, and what is its value at the point (2, 1, 1)? (b) What is the rate of change of f at the point (2, 1,1) in the direction of the unit vector în =i+j? (c) What is the maximum rate of change of f at the point (2,1,1), and in what direction does this maximum value occur?

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