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Let g(x, y) = kx^2 + y^2 4xy, where k is some constant. Determine the values of k (if any) for which the critical point

Let g(x, y) = kx^2 + y^2 4xy, where k is some constant. Determine the values of k (if any) for which the critical point at (0, 0) is a local minimum.

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