\documentclass[12pt]{amsart}

\pagestyle{empty}
\setlength{\parindent}{0pt}
\everymath{\displaystyle}
\newcommand{\answerspace}{\vfill}
\newcommand{\problemspace}{\bigskip}
\newcommand{\R}{\ensuremath{\mathbb{R}}}

\begin{document}

\thispagestyle{empty}

{\bf Math 165: Honors Calculus I}
\hfill\makebox[2.5in][r]{Name:\hrulefill}

{\bf Quiz 6}\quad {\sl October 14, 1999}

\bigskip

\begin{enumerate}

\item
Use the addition formula for $\cos(x)$ to prove
\[
\sin^2(x) = \frac{1-\cos(2x)}{2}\quad\mbox{and}\quad
\cos^2(x) = \frac{1+\cos(2x)}{2}
\]

\answerspace

\problemspace

\item
Give a mathematically precise definition for $\lim_{x\to p}f(x) = A$.
\answerspace

\newpage

\item
Let $f(t) = (-1)^{[t]}$ where $[t]$ is the greatest integer less than or
equal to $t$. Calculate $F(x) = \int_0^x f(t)\,dt$ for $0 \le x \le 4$ and
plot its graph.

\answerspace

\end{enumerate}

\end{document}
