Drill Exercises While the problems in this part are not required, it is in your best interest to use these problems as practice problems. Practice will greatly increase your understanding and success in this course. Do not use a calculator or computational tool when practicing, as one will not be permitted on the exam.

Text $2\mathrm{.}1$ #$5-15,17-19,22-25$

Text $2\mathrm{.}2$ #$17-26$

Required Problems

Evaluate the following iterated integrals:

$($a$){\displaystyle \underset{1}{\overset{3}{}}}{\displaystyle \underset{0}{\overset{\frac{}{2}}{}}}xsinydydx$;

$($b$){}_R\sqrt[\phantom{2}]{\frac{x}{y}}dA,$ where $R=\{(x,y)|0x1,1y4\}.$

Find the volume of the solid beneath $f(x,y)=e^{-x}$ and above the region $y2.$