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 between the curve $y = \frac { 4 } { \sqrt { x } }$ and the $x$ -axis from $x = 1$ to $x = 16$

A) $\bar { x } = 7 , \bar { y } = \frac { 2 } { 3 } \ln 16$
B) $\bar { x } = 168 , \bar { y } = 16 \ln 16$
C) $\bar { x } = \frac { 2 } { 3 } \ln 16 , \bar { y } = 7$
D) $\bar { x } = \frac { 1 } { 7 } , \bar { y } = \frac { 3 } { 2 } \ln 16$