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At What Point Is the Following Function a Local Maximum f(x,y)=3−10x+12y−5x2−6y2f ( x , y ) = 3 - 10 x + 12 y - 5 x ^ { 2 } - 6 y ^ { 2 }

Question 102

Multiple Choice

At what point is the following function a local maximum? f(x,y) =3−10x+12y−5x2−6y2f ( x , y ) = 3 - 10 x + 12 y - 5 x ^ { 2 } - 6 y ^ { 2 }


A) (1,1) ( 1,1 )
B) (−1,1) ( - 1,1 )
C) (3,1) ( 3,1 )
D) (0,1) ( 0,1 )
E) (1,−1) ( 1 , - 1 )

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