\documentclass[12pt]{article}

\usepackage{enumerate}
\pagestyle{empty}
\setlength{\parindent}{0pt}
\everymath{\displaystyle}
\newcommand{\answerspace}{\vspace{1.25in}}
\newcommand{\problemspace}{\vfil}

\begin{document}

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

{\bf Quiz 9}\quad {\sl November~18, 1999}

\begin{enumerate}

\item Show that if $f$ is continuous at~$p$, then there is an interval
$[a,b]$ containing $p$ such that the $\textrm{span}_{[a,b]} f < 1$.

\answerspace 
\answerspace 

\problemspace

\item Give the definition of the derivative of a function $f(x)$.

\answerspace 

\newpage

\item

  \begin{enumerate}[a)]

  \item State the \textsc{Weighted Mean Value Theorem for Integrals}.

  \answerspace
  \answerspace

  \item Use a) to show that $\frac{\sqrt{2}}{3} \le \int_0^1
  \sqrt{\frac{x}{1+x^{4}}}\,dx \le \frac{2}{3}$.

  \answerspace

  \end{enumerate}


\end{enumerate}

\end{document}
