The Center of Mass of a Lamina in the Shape $\rho ( x , y ) = x y ^ { 2 }$

Multiple Choice

The center of mass of a lamina in the shape of a region in the xy-plane bounded by the x-axis, x = 3, y = 2 and the y-axis with area density $\rho ( x , y ) = x y ^ { 2 }$ is

A) $\left( - 1 , \frac { 3 } { 4 } \right)$
B) $\left( 1 , - \frac { 3 } { 4 } \right)$
C) $\left( 1 , \frac { 3 } { 4 } \right)$
D) $\left( - 1 , - \frac { 3 } { 4 } \right)$
E) $\left( 1 , \frac { 3 } { 2 } \right)$