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Find Values Of xx And yy Such That Both fx(x,y)=0f_{x}(x, y)=0 And fy(x,y)=0f_{y}(x, y)=0

Question 37

Multiple Choice

Find values of xx and yy such that both fx(x,y) =0f_{x}(x, y) =0 and fy(x,y) =0f_{y}(x, y) =0 .
- f(x,y) =12xy4x4y+9f(x, y) =12 x y-4 x-4 y+9


A) x=13,y=13x=-\frac{1}{3}, y=-\frac{1}{3}
B) x=3,y=3x=3, y=3
C) x=13,y=13\mathrm{x}=\frac{1}{3}, \mathrm{y}=\frac{1}{3}
D) x=3,y=3x=-3, y=-3

Correct Answer:

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