Find the Centroid of the Thin Plate Bounded by the Graphs

Multiple Choice

Find the centroid of the thin plate bounded by the graphs of the given functions. Use $\delta = 1$ and $M =$ area of the region covered by the plate.
- $g ( x ) = x ^ { 2 } , \quad f ( x ) = 1$ , and $x = 0$

A) $\bar { x } = 1 , \bar { y } = \frac { 3 } { 5 }$
B) $\bar { x } = \frac { 1 } { 2 } , \bar { y } = \frac { 3 } { 5 }$
C) $\bar { x } = \frac { 3 } { 8 } , \bar { y } = 1$
D) $\bar { x } = \frac { 3 } { 8 } , \bar { y } = \frac { 3 } { 5 }$