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2. [10 pts] Consider the function f(x, y) = x + y kxy. _ (a) (4pts) Find all critical points of when k =

2. [10 pts] Consider the function f(x, y) = x + y kxy. _ (a) (4pts) Find all critical points of when k = 3 and determine the nature of the those points. (b) (2pts) Same question when k = 0. (c) (4pts) For which values of k does f have a local minimum? a local maximum?

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