Let f(x, y) = 3x 2 +ky 2 +9xy. Determine the values of k (if any) for
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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 the full answer
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Related Book For
Applied Calculus
ISBN: 9781119275565
6th Edition
Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale
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