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\begin{flushleft} Recitation 3\hfill \course\\
3 September 1998 \hfill \semester \\
\medskip

Below is a selection of problems related to section 1.4.
These problems will not be collected or graded. However, you should
understand how to work each of these problems.  You should begin
working on these problems in groups in recitation. You will probably
want to finish these problems outside of class. 
 If you have questions,
please ask your TA or instructor. If you find a problem difficult,
consider working similar problems from the text for additional practice.

\begin{enumerate}
\item Work the following problems from Stewart, section 1.4.
\#3, 5, 6, 7, 11, 13, 18, 19, 25, 26, 27, 29, 35.

Hints: In \#19, you should eliminate $t$ and show that you obtain a
linear equation verifying $x$ and $y$.  Show that the points $(x_1,
y_1) $ and $(x_2, y_2)$ satisfy these equations.

\item Consider the parametric curves  
$$
x(t) =  \cos t , \qquad y (t) = 2\cos t +1, \qquad 0 \leq t \leq \pi
$$
and 
$$
x(t) = t, \qquad y (t) = 2t + 1, \qquad -1 \leq t \leq 1.
$$
How are they the same? How are they different?


\item Remember that our first project will begin after Labor day on Tuesday, 8
September. To prepare for this, please read the laboratory  on
hypocycloids, p. 55 of Stewart. You should also review the discussion
of the cycloid from lecture on Wednesday, 9/2 and from section 1.4 of
the text.



\end{enumerate}
\end{flushleft}
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