Find the maximum value of the function $f ( x , y ) = x y$ subject to the constraint that $x ^ { 2 } + y ^ { 2 } = 2$ .
A) $\frac { 1 } { 2 }$
B)1
C) $\frac { 3 } { 2 }$
D)2
E) $- \frac { 1 } { 2 }$
F) $- 1$
G) $- \frac { 3 } { 2 }$
H) $- 2$

Question

Find the maximum value of the function $f ( x , y ) = x y$ subject to the constraint that $x ^ { 2 } + y ^ { 2 } = 2$ .
A) $\frac { 1 } { 2 }$ 
B)1
C) $\frac { 3 } { 2 }$ 
D)2
E) $- \frac { 1 } { 2 }$ 
F) $- 1$ 
G) $- \frac { 3 } { 2 }$ 
H) $- 2$

Quizplus · Accepted Answer

The Answer is B

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Find the Maximum Value of the Function $f ( x , y ) = x y$