# Recitation 27

Exercise: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to $x$ or $y$. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.
$$4x+y^2=12, x=y$$

Exercise: Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. $x=2\sqrt{y}, x=0, y=9$; about the $y$-axis.