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Suppose That (0, -2)is a Critical Point of a Smooth f(0,2)=2,fxx(0,2)=1,fxy(0,2)=2,fyy(0,2)=5f ( 0 , - 2 ) = - 2 , f _ { x x } ( 0 , - 2 ) = - 1 , f _ { x y } ( 0 , - 2 ) = 2 , f _ { y y } ( 0 , - 2 ) = - 5

question 74

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Suppose that (0, -2)is a critical point of a smooth function f(x, y)with f(0,2)=2,fxx(0,2)=1,fxy(0,2)=2,fyy(0,2)=5f ( 0 , - 2 ) = - 2 , f _ { x x } ( 0 , - 2 ) = - 1 , f _ { x y } ( 0 , - 2 ) = 2 , f _ { y y } ( 0 , - 2 ) = - 5 What can you conclude about the behavior of the function f near (0, -2)?

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