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8. (7 marks) Consider the function f(x, y) = y + 3xy - 6x - 6y+2. Find all critical points of f(x, y) and

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8. (7 marks) Consider the function f(x, y) = y + 3xy - 6x - 6y+2. Find all critical points of f(x, y) and classify each of them as minima, maxima, or saddle points.

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