(A) Show that (0, 0) is a critical point of the function g(x, y) = e xy...

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(A) Show that (0, 0) is a critical point of the function g(x, y) = e^xy² + x²y³ + 2, but that the second derivative test for local extrema fails.

(B) Use cross sections, as in Example 2, to decide whether g has a local maximum, a local minimum, or a saddle point at (0, 0).

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

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Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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Question Posted: Apr 29, 2022 07:58 AM

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(A) Show that (0, 0) is a critical point of the function g(x, y) = e xy...

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

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