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Let f(x, y) = −x 3 + y 2 . Show that (0, 0) is a...

Let f(x, y) = −x 3 + y 2 . Show that (0, 0) is a saddle point. Note that you cannot use the second derivative test for this function. Hint: Find the curve of intersection of the graph of f with the xz-plane.

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