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Suppose f(x, y, z) = xyz + e0-) %3D (a) At the point (1,4,2), find the direction in which the maximum rate of change

Suppose f(x, y, z) = xyz + e0-) %3D (a) At the point (1,4,2), 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 (1,4,2)? Enter your answer in the blank blow. Round your answer to two decimal places.

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