Question: Let f(x, y) = x 3 + ky 2 5xy. Determine the values of k (if any) for which the critical point at (0,

Let f(x, y) = x³ + ky² − 5xy. Determine the values of k (if any) for which the critical point at (0, 0) is:
(a) A saddle point
(b) A local maximum
(c) A local minimum

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