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Locate the Local Maximum of the Function f(x,y)=x2y−8x2−4y2f ( x , y ) = x ^ { 2 } y - 8 x ^ { 2 } - 4 y ^ { 2 }

Question 106

Multiple Choice

Locate the local maximum of the function. f(x,y) =x2y−8x2−4y2f ( x , y ) = x ^ { 2 } y - 8 x ^ { 2 } - 4 y ^ { 2 }


A) (8,4,−256) ( 8,4 , - 256 )
B) (0,0,0) ( 0,0,0 )
C) (−8,8,−256) ( - 8,8 , - 256 )
D) (−8,−4,0) ( - 8 , - 4,0 )
E) (8,8,−256) ( 8,8 , - 256 )

Correct Answer:

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