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15. Consider the function f(x, y) = 23 + y3 + 3x2 - 3y2 - 8. (a) Find the critical points of f and determine

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15. Consider the function f(x, y) = 23 + y3 + 3x2 - 3y2 - 8. (a) Find the critical points of f and determine the nature of each of them - local maximum, local minimum or saddle point. [8 marks] (b) Find the absolute maximum and the absolute minimum of f on the rectangle D = {(x, y) ER' : -1

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