Consider the function (x, y) = x 2 (y + 1) 2 + k(x + 1) 2

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Consider the function ƒ(x, y) = x2(y + 1)2 + k(x + 1)2y2.

(a) For what values of k is the point (x, y) = (0, 0) a critical point?
(b) For what values of k is the point (x, y) = (0, 0) a relative minimum of the function?

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