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Let f : R' - R, (x, y) > 3y + 6y x - 23 Answer the following: (a) Find all critical points of f.

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Let f : R' - R, (x, y) > 3y + 6y x - 23 Answer the following: (a) Find all critical points of f. (6 marks) (b) Classify each critical point of f as a local maximum, a local minimum, or a point that is neither a local maximum nor a local minimum. (6 marks) (c) Does f have global extrema? If yes, determine all global maxima and all global minima of f. If no, explain why not

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