Question: Let f(x, y) = 3x 2 +ky 2 +9xy. Determine the values of k (if any) for which the critical point at (0, 0) is:

Let f(x, y) = 3x² +ky² +9xy. 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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We are given that 0 0 is a critical point We have f x 6x 9y and f y 2ky 9x so f xx 6 fxy 9 and f yy ... View full answer

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