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The Function f(x,y)=x33x+y26yf ( x , y ) = x ^ { 3 } - 3 x + y ^ { 2 } - 6 y

Question 55

Multiple Choice

The function f(x,y) =x33x+y26yf ( x , y ) = x ^ { 3 } - 3 x + y ^ { 2 } - 6 y has a saddle point at (-1, 12) .Which of the following is a sketch of the level curves of f near this point?


A)  The function  f ( x , y )  = x ^ { 3 } - 3 x + y ^ { 2 } - 6 y  has a saddle point at (-1, 12) .Which of the following is a sketch of the level curves of f near this point? A)    B)
B)  The function  f ( x , y )  = x ^ { 3 } - 3 x + y ^ { 2 } - 6 y  has a saddle point at (-1, 12) .Which of the following is a sketch of the level curves of f near this point? A)    B)

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