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g(x, y) = 2x 3 + 9xy2 + 15x 2 + 27y2 Find all the critical...

g(x, y) = 2x 3 + 9xy2 + 15x 2 + 27y2

Find all the critical points of the following functions. For each critical point of g(x, y), determine whether g has a local maximum, local minimum, or saddle point at that point.

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