%12/13/93
\documentclass[12pt]{article}
\pagestyle{empty}
%\input /u/s1/ma/rbrown/tex/macros/latex_course.tex
\input rmb_local
%\input amssym.def
%\input amssym
%\input psfig.tex
%\input mssymb

\renewcommand\marginpar[1]{}
\newcommand{\comment}[1]{}
\textwidth 6in
\oddsidemargin 0.25in
\topmargin-0.25in
\textheight 8.5in
\begin{document}

\begin{flushleft} 
Recitation 6\hfill \course\\
15 September 1998 \hfill \semester \\
\medskip

\bf Reminders: \rm   1.  The second graded homework
assignment is due on Wednesday, 9/16/98 at 10am.  The assignment is 
\S1.4 \#26, 32, \S 1.5 \# 24.
 2.  The project on hypocycloids is due on Friday, 9/18/98.
3. The first exam will be in CB114 from 7:30--9:30, Tuesday 22
September.

 
Below is a selection of problems related to section 1.6.
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 1.6. \#2, 5,
7, 13, 18, 23, 25, 35, 39, 49--52, 57.

\item If $\log_a t = 2 $, find i) $ \log_a t^2$, ii) $\log_a (1/t)$,
iii) $\log_a \sqrt t$.  Hint: The answers do not depend on $a$, thus
you probably do not need to know the numerical value of $a$.

\item Explain why formula 10 on page 70 of Stewart is true.

\item\begin{enumerate}\item Sketch the graph of $f(x) = (1/2)^x$.  
\item Sketch the graph of $\log_{1/2} x$.  
\item Is the function in part b) increasing or decreasing?  (See the
definitions of increasing and decreasing functions on page 26.)  
     \end{enumerate}

\item \begin{enumerate} \item  If a function $f$ is one-one and increasing,
     is $f^{-1}(x)$ increasing or decreasing?
\item If a function $f$ is increasing, is the reciprocal,
$g(x)=1/f(x)$ increasing or decreasing?
      \end{enumerate}

\item Suppose that you are told that $p(1)=5$ and $p(n+1) = p(n)$, can
      you find $p(4)$?  Can you find a general formula for $p(n)$?
q \item Suppose that you are told $p(1) = 5$ and $p(n+2) = p(n)$. Can
you find $p(4)$?  Can you find $p(5)$?  
    

\end{enumerate}
\end{flushleft}
\end{document}