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

Multiple Choice

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

A) $\left( - \frac { 6 } { 5 } , \frac { 9 } { 5 } \right)$
B) $\left( \frac { 6 } { 5 } , - \frac { 6 } { 5 } \right)$
C) $\left( \frac { 6 } { 5 } , - \frac { 9 } { 5 } \right)$
D) $\left( \frac { 6 } { 5 } , \frac { 6 } { 5 } \right)$
E) $\left( \frac { 6 } { 5 } , \frac { 9 } { 5 } \right)$