Suppose g(x, y) = x³ - 6xy + 6y². Answer the following. In each case give all three coordinates of each point: (a, b, c). If there are two or more points separate them by commas. If there are no points answer None. 1. Find the local maxima of g. Answer: None 2. Find the local minima of g. (1,2,0) Answer: 3. Find the saddle points of g. Answer: (0,0,0)

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