\documentclass[12pt]{article}

\usepackage{amsmath}

\setlength{\parindent}{0pt}
\setlength{\textheight}{9in}
\setlength{\voffset}{-1in}
\setlength{\textwidth}{6.5in}
\setlength{\hoffset}{-.5in}

\everymath={\displaystyle}
\pagestyle{empty}

\renewcommand{\r}{\ensuremath{\mathbf{r}}}


\begin{document}

\textbf{Math 225: Calculus III}
\hfill\makebox[2.5in][r]{Name:\hrulefill}

\textbf{Quiz 8}\quad \textsl{November 15, 2001}
\hfill\makebox[2.5in][r]{Section:\hrulefill}

\bigskip\bigskip\bigskip

1. Use an appropriate change of coordinates to calculate the integral
$\iiint_E z\,dV$ where $E$ is the solid bounded above by $4x^2 +
9y^2 + z^2 = 1$ and below by $4x^2 + 9y^2 = z^2$ in the first octant.

\vspace*{3.5in}

2. Evaluate the line integral $\int_\mathcal{C} yz\,dx + xz\,dy + xy\,dz$
where $\mathcal{C}$ is the curve parameterized by $\r(t) = \langle t,
t^2, t^3 \rangle$, $0 \le t \le 1$.

\vspace*{3in}

\end{document}
