In $($Figure $1),$ take b $=7$ in and h $=17$ in$.$

The x axis is directed horizontally rightward, and the y axis is directed vertically upward. A concave upward parabolic curve follows an equation of y equal to h divided by b squared and multiplied by x squared rising from the origin to $($b$,$ h$).$ The region between the curve and the x axis from x equal to $0$ to x equal to b is shaded.

Part A

Locate the centroid x$($bar$)$ of the area. Express your answer to three significant figures and include the appropriate units.