The graph of z = x 2 + y 2 is a bowl opening upward. The graph of z = x 2 y 2 is a

Chapter 6, Problem 6.1.21

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The graph of z = x 2 + y 2 is a bowl opening upward. The graph of z = x 2 y 2 is a saddle. The graph of z = x 2 y 2 is a bowl opening downward. What is a test on F(x,y) to have a saddle at (0,0)?

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