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Suppose f(x, y, z) = xy23 + e(4-x?) (a) At the point (-1,1,2), find the direction in which the maximum rate of change of f(x,y,z)

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Suppose f(x, y, z) = xy23 + e(4-x?) (a) At the point (-1,1,2), find the direction in which the maximum rate of change of f(x,y,z) occurs. (b) What is the maximum rate of change of the function at the point (-1,1,2)? Enter your answer in the blank below. Round your answer to two decimal places. Your

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