\input{ThisWeek.tex}
\newcommand{\duedate}{Monday, October 27}
\input{../TemplateWeek/AtHomeWork.tex}
\input{Exercises.tex}

%\booltrue{teacher}

\begin{enumerate}
\item We pour water into a conical cup which is 8 inches high and whose radius at the top is 2 inches.  We pour water into the cup at a rate of 1 cubic inch per minute.  When the cup is half full, how quickly is the water level rising?
\item  We inflate a spherical balloon with 0.5 cubic meters of air per minute.  When the balloon has radius 0.75 meters, how quickly is the radius growing?
\item The radius of a circular puddle grows at a rate of $1cm^2$ per day.  When the radius is $10cm$, how quickly is the area increasing?
\item One day you measure the area of the same circular puddle by
  measuring its radius.  If your measurement of the radius is off by
  $1\%$, what percent is your calculated area off by?
\item Use a linearization to estimate $e^x$ at $x=\ln 3+0.001$.
\end{enumerate}

\end{document}