\documentclass[12pt]{article}

%\usepackage{enumerate}
\usepackage{calculus}
\usepackage[dvips]{graphics}

\pagestyle{empty}
\setlength{\parindent}{0pt}
\everymath{\displaystyle}
\newcommand{\answerspace}{\vspace*{2.0in}}
\newcommand{\problemspace}{\bigskip}


\begin{document}

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

\textbf{Quiz 3}\quad \textsl{Feb. 4/6, 1997}
\hfill\makebox[2.5in][r]{Section:\hrulefill}

\begin{enumerate}
\problemspace
\item 
A particle's position is given by 
$\r(t) = \sin(\pi t)\i + e^{1 - t}\j + (t + 1)^2 \k$.
Find the particle's speed when it reaches the point $(0,1,4)$.

\answerspace

\problemspace
\item 
 Find a (non-zero) vector perpendicular to the curve defined by
\newline
$\r(t) = t\i + t\j - t^2 \k$ at the point $(2,2,-4)$.
\answerspace

\end{enumerate}

\end{document}
