\magnification = \magstep1
\nopagenumbers
\leftline{Mathematics 242 -- Principles of Analysis}
\leftline{Definitions Quiz 8 -- April 19, 2013}
\medskip
\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
\bigskip
\noindent
A) (5)  Let $f$ be a bounded function on the interval $[a,b]$.  What does it mean for 
$f$ to be {\it integrable} on $[a,b]$?   
\vglue 4.0truein
\noindent
B) (5)  We say a function $f$ has a {\it local maximum} at $c$ if $f(c) \ge f(x)$ for all
$x$ in some interval containing $c$.  True/False and explain your answer:  
If $f$ has a local maximum at $c$ and $f'(c)$ exists, then $f'(c) = 0$.  
\bye
