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1. Suppose that the point (1,3) is a critical point for some function f(x, y). What can you say about the vector f(1,3)? 2.

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1. Suppose that the point (1,3) is a critical point for some function f(x, y). What can you say about the vector f(1,3)? 2. Assume again that (1,3) is a critical point for f(x, y). Further assume that D(1,3) > 0. Explain how you could determine whether f has a local maximum or a local minimum at (1,3).

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