\input{ThisWeek.tex}
\newcommand{\duedate}{Monday, November 24}
\input{../TemplateWeek/AtHomeWork.tex}
\input{Exercises.tex}

%\booltrue{teacher}

\begin{enumerate}
\item Estimate the area under the curve $y=x^3$ between $1$ and $4$ using the left endpoint rule with $5$ rectangles.
\item Estimate the area under the curve $y=x^3$ between $1$ and $4$ using the right endpoint rule with $5$ rectangles.
\item Estimate the area under the curve $\cos x$ between $0$ and $\pi/2$ using the left endpoint rule with $4$ rectangles.
\item Find the area under the curve $x-1$ between $1$ and $4$ using the method from class (estimate the area using $n$ rectangles and take the limit as $n\rightarrow\infty$).
\item Find the area under the curve $\frac{x^2}{5}-\frac{x}{2}+1$ between $1$ and $4$ using the method from class (estimate the area using $N$ rectangles and take the limit as $N\rightarrow\infty$).
\item Find the area under the curve $\frac{x^2}{2}+x$ between $0$ and $2$ using the method from class (estimate the area using $n$ rectangles and take the limit as $n\rightarrow\infty$).
\end{enumerate}

\end{document}