Find and classify the critical points of z = Local maximums: Local minimums: Saddle points: (x² - 5x) (y² - 4y) For each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. If there are no points for a classification, enter DNE.
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- What value of a makes ƒ(x) = x2 + (a/x)have a local minimum at x = 2?Find the critical points of f(x, y) = x^3 − y^3 − 3x^2 + 12y + 1 and classify them as a relative maximum, a relative minimum, or a saddle point.For the function f(x,y)=−x3+4xy−2y2+1, does the critical point (0,0) correspond to a local maximum, a local minimum, or a saddle point? Select the correct answer below: local maximum local minimum saddle point
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