$[20$ pts$]$ Locate the centroid $(\stackrel{}{x}\frac{,}{b}ar(Y)),$ with respect to the $x-y$ axes shown, for the shaded area bounded

by the function. For full credit, you must show what kind of sliver or infinitesimal area you used

and show the area on the graph. Also show what $(tilde(x),$tilde$(y))$ and $dA$ are for your corresponding sliver.