Find the Center of Mass of a Thin Plate of Constant

Multiple Choice

Find the center of mass of a thin plate of constant density covering the given region.
-The region bounded by the parabola $y = 16 - x ^ { 2 }$ and the $x$ -axis

A) $\bar { x } = 0 , \bar { y } = \frac { 5 } { 32 }$
B) $\bar { x } = \frac { 32 } { 5 } , \bar { y } = 0$
C) $\bar { x } = 0 , \bar { y } = \frac { 32 } { 5 }$
D) $\bar { x } = 0 , \bar { y } = \frac { 8192 } { 15 }$