Let f(x, y) = x sin y. Find f $\left( 2 , \frac { \pi } { 3 } \right)$ .
A) $\sqrt { 3 }$
B) $\sqrt { 2 }$
C) $\frac { \sqrt { 3 } } { 2 }$
D) $\frac { \sqrt { 2 } } { 2 }$
E) $\frac { 1 } { 2 }$
F) $\frac { 1 } { 3 }$
G)1
H)0

Question

Let f(x, y) = x sin y. Find f $\left( 2 , \frac { \pi } { 3 } \right)$ .
A) $\sqrt { 3 }$ 
B) $\sqrt { 2 }$ 
C) $\frac { \sqrt { 3 } } { 2 }$ 
D) $\frac { \sqrt { 2 } } { 2 }$ 
E) $\frac { 1 } { 2 }$ 
F) $\frac { 1 } { 3 }$ 
G)1
H)0

Quizplus · Accepted Answer

The function f(x, y) = x sin y evaluated at $x = 2$ and $y = \frac{\pi}{3}$ gives $2 \sin\left(\frac{\pi}{3}\right)$. Since $\sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}$, the result is $2 \cdot \frac{\sqrt{3}}{2} = \sqrt{3}$.

Let F(x, Y) = X Sin Y (2,π3)\left( 2 , \frac { \pi } { 3 } \right)(2,3π​)

Let F(x, Y) = X Sin Y $\left( 2 , \frac { \pi } { 3 } \right)$