final-practice-sol2 - SOLUTIONS Problem 1 Find the critical...

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SOLUTIONSProblem 1.Find the critical points of the functionf(x, y) = 2x3-3x2y-12x2-3y2and determine their type i.e. local min/local max/saddle point. Are there any global min/max?
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Problem 2.Determine the global max and min of the functionf(x, y) =x2-2x+ 2y2-2y+ 2xyover the compact region-1x1,0y2.

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