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\begin{center} Quiz 5A - MTH 1410
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\textbf{Name:} \underline{\hspace{3in}}



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1) (3 points) Graph a \emph{continuous} function $f$ with the following properties:
\begin{itemize}
	\item $f(0)=0$
	\item $f'(x)>0$ on $(-\infty, -3), (-3, -1)$ and $(0, \infty)$ \hspace{1in} $f'(x)<0$ on (-1, 0)
	\item $f''(x)>0$ on $(-\infty, -4), (-3, -1)$ and $(-1, \infty)$ \hspace{1in} $f''(x)<0$ on (-4, -3)
\end{itemize}
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2) (4 points) A ladder 15 feet long rests against a vertical wall, and the bottom edge slides away from the wall at a constant rate of $\frac{1}{4}$ ft/sec.  How fast is the top of the ladder sliding down the wall when the bottom of the ladder is 12 feet from the wall?

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3) (3 points) Use calculus to find the absolute maximum and minimum of $\d f(x)=3x^{2/3}-\frac{6}{5}x^{5/3}$ on the interval $[-1,2]$.








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