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Problem-7: Show that the function f(x, y) = x3 3x2 4y2 + 2 has one saddle point and one maximum point. Determine the maximum value.

Problem-7: Show that the function f(x, y) = x3 3x2 4y2 + 2 has one saddle point and one maximum point. Determine the maximum value. [10 marks]

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