Find the Centroid of the Region Bounded by the Graphs $y=15-x^{2}, \quad y=3-x$

Multiple Choice

Find the centroid of the region bounded by the graphs of the given equations. $y=15-x^{2}, \quad y=3-x$

A) $\left(\frac{1}{2}, \frac{37}{5}\right)$
B) $\left(\frac{1}{2}, \frac{5}{2}\right)$
C) $\left(\frac{5}{2}, \frac{1}{2}\right)$
D) $\left(\frac{37}{5}, \frac{1}{2}\right)$