$($Section $7\mathrm{.}3,$ Problem $16)$ Use the open space to show all of your work. This includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral$($s$)$ and evalnating them. Place your numerical answer for the area of the region in the box.

$($a$)$ Graph the region and compute the area by evaluating an integral $($or integrals$)$ in terms of $x.$

$y=\sqrt[\phantom{2}]{x},y=\frac{x}{2}$

$($b$)$ Compute the area by evaluating an integral $($or integrals$)$ in terus of $y.$