\documentclass[12 pt]{article}
\pagestyle{empty}
\addtolength{\topmargin}{-0.9in}
\addtolength{\textheight}{1.9in}
\addtolength{\oddsidemargin}{-0.7in}
\addtolength{\textwidth}{1.4in}
\newcommand{\D}{\displaystyle}
\begin{document}
\begin{center}
\textbf{Math 220 \hfill Quiz 13 (take-home) \hfill Fall 2011} \\
\end{center}
\vspace{.25in}
\noindent
\textbf{Name}\ \rule{3.5in}{.4pt}
\noindent
\vspace{0.2in}
\begin{itemize}
\item You may work with other students in this class. However each student should write up solutions separately and independently -- nobody should copy someone else's work.
\item You may use your notes or the textbook.
\item Computers are not allowed on any problem. You may use a calculator only for basic arithmetic.
\item \textbf{You must show sufficient work to justify each answer.}
\item The quiz should be turned in to your TA at the beginning of your discussion section meeting on Thursday, November 17th.
\item Be sure that the pages are nicely stapled -- do not just fold the corners.
\item \textbf{Note to TAs and Tutors -- you should not help students with these specific problems or go over solutions until after 4pm Thursday.}
\end{itemize}
\vspace{0.5in}
\noindent
\begin{enumerate}
\item (5 points) Determine an appropriate linear approximation of the function $\D{f(x)=\sqrt{x}}$ and use it to approximate $\D{\sqrt{24.2}}$. Write your answer in decimal form.
\vfill
\newpage
\item (5 points) The graphs of $f(x)=x^3$ and $g(x)=3x+5$ have one intersection point. Determine the $x$-value for this intersection point using Newton's Method with an initial estimate of $x_1 = 2$. You should use this method 3 times in order to obtain estimates $x_2$, $x_3$ and $x_4$.
\vfill
\end{enumerate}
\end{document}