A metal plate with density

$(x)=4-3x^2$

$(\frac{g}{c}{m}^{{?}^{{?}^{?}}}2),$ has a shape bounded by $x=y^2,y=x^4$ in the first quadrant $($i$.$e$.,x0).$

$($a$)$ Sketch the two curves and the resulting region. Clearly label your graphs and any points where they intersect.

$($b$)$ Find the mass of the metal plate. Round your answer to four decimal places.

$($c$)$ Find the $x-$coordinate, $\stackrel{}{x},$ of the center of mass. Enter the value $\stackrel{}{x}$ in the answer box below. Round y jour answer to four decimal places.