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\begin{center}
{\Large Warm-Up Problems and Lecture Problems

February 17, 2003}
\end{center}

\begin{enumerate}

\item  \label{one}
	Find the points of intersection for the following sets of graphs.
	\begin{enumerate}
	\item  $y=12-x^2$ and $y=x^2$
	\item  $y=x^2$ and $y=2x+8$
	\item  $x=y^2$ and $x=y+6$
	\item  $x=y^2-2y-2$ and $x=4+y-2y^2$
	\end{enumerate}

\item  \label{two}
	Using your calculator, estimate the points of intersection of the following sets of graphs:
	\begin{enumerate}
	\item  $y=x^3$ and $y=32-x^4$
	\item  $y=\frac{7x}{(x^2+1)^{3/2}}$ and $y=\frac{x^2}{3}$
	\end{enumerate}

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\lecture

\item  Find the area between the curves (hint: see your work in problem~\ref{one})
	\begin{enumerate}
	\item  $y=12-x^2$ and $y=x^2$
	\item  $y=x^2$ and $y=2x+8$
	\item  $x=y^2$ and $x=y+6$
	\item  $x=y^2-2y-2$ and $x=4+y-2y^2$
	\end{enumerate}

\item  Find the area between the curves (hint: see your work in problem~\ref{two})
	\begin{enumerate}
	\item  $y=x^3$ and $y=32-x^4$
	\item  $y=\frac{7x}{(x^2+1)^{3/2}}$ and $y=\frac{x^2}{3}$
	\end{enumerate}







\end{enumerate}



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