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Without Calculating the Discriminant, Explain Using the Contour Diagram For f

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Without calculating the discriminant, explain using the contour diagram for f(x,y)=x3+3x2yf ( x , y ) = x ^ { 3 } + 3 x ^ { 2 } y why f has a saddle point at (0, 0).  Without calculating the discriminant, explain using the contour diagram for  f ( x , y ) = x ^ { 3 } + 3 x ^ { 2 } y  why f has a saddle point at (0, 0).

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A saddle point P of a function f(x, y)is...

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