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Problem 3 Let f x y 3 a Compute the rate of change of f at the input 3 1 in the direction of the

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Problem 3 Let f x y 3 a Compute the rate of change of f at the input 3 1 in the direction of the vector u 3 3 b If you take an infinitesimally small step on the surface f from the point 3 1 2 in the direction of u will you move uphill downhill or stay at the same height Justify your answer

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