Find the Center of Mass of a Thin Plate Covering $y = 50 - x ^ { 2 }$

Multiple Choice

Find the center of mass of a thin plate covering the given region with the given density function.
-The region enclosed by the parabolas $y = 50 - x ^ { 2 }$ and $y = x ^ { 2 }$ , with density $\delta ( x ) = x ^ { 2 }$

A) $\bar { x } = 0 , \bar { y } = 25$
B) $\bar { x } = 25 , \bar { y } = 0$
C) $\bar { x } = 0 , \bar { y } = 50$
D) $\bar { x } = 0 , \bar { y } = 20$