Find M_x, M_y, and $\bar{x}$ $\bar{y}$ ) for the Lamina of Uniform Density

Multiple Choice

Find M_x, M_y, and ( $\bar{x}$ , $\bar{y}$ ) for the lamina of uniform density $\rho$ bounded by the graphs of the equations $x = 4 - y ^ { 2 } , x = 0$ .

A) $M _ { x } = 0 , M _ { y } = \frac { 256 } { 15 } \beta , \bar { x } = 0 , \bar { y } = \frac { 4 } { 5 }$
B) $M _ { x } = \frac { 256 } { 15 } \rho , M _ { y } = 0 , \bar { x } = \frac { 8 } { 5 } , \bar { y } = \frac { 4 } { 5 }$
C) $M _ { x } = \frac { 256 } { 15 } \alpha , M _ { y } = 0 , \bar { x } = \frac { 4 } { 5 } , \bar { y } = \frac { 4 } { 5 }$
D) $M _ { x } = 0 , M _ { y } = \frac { 256 } { 15 } a , \bar { y } = \frac { 8 } { 5 } , \bar { y } = 0$
E) $M _ { x } = 0 , M _ { y } = 0 , \bar { x } = 0 , \bar { y } = 0$