220Ex2Summer

# 220Ex2Summer -...

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Unformatted text preview: \documentclass[11pt]{amsart} \usepackage{geometry} % See geometry.pdf to learn the layout options. There are lots. \geometry{letterpaper} % ... or a4paper or a5paper or ... %\geometry{landscape} % Activate for for rotated page geometry %\usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent \usepackage{graphicx} \usepackage{amssymb} \usepackage{epstopdf} \DeclareGraphicsRule{.tif}{png}{.png}{convert #1 dirname #1/basename #1 .tif`.png} \title{Math 220, Summer 2009\\ Professor Patrick Fitzpatrick\\Exam 2, June 24, 2009} \author{} %\date{} % Activate to display a given date or no date \begin{document} \maketitle \vspace*{.4in} 1. (24 points) Differentiate each of the following functions: \vspace*{.2in} \begin{enumerate} \item[(i)] $$f(x)=\sqrt{x}\, e^x\hspace{2.5in}$$ \vspace*{1in} \item[(ii)] $$f(x)=\frac{x^2}{x^4+1}\hspace{2.5in}$$ \vspace*{1in} \item[(iii)] $$f(x)=e^{\sqrt{x}+5x}\hspace{2.5in}$$ \vspace*{1in} \item[(iv)] $$f(x)=\ln e^x+ \ln(x^4+x^5)\hspace{2.5in}$$ \end{enumerate} \newpage 2. (16 points)2....
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220Ex2Summer -...

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