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\textbf{Math 220 (section AD?) \hfill Quiz 6 \hfill Fall 2015} \\
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\textbf{Name}\ \rule{4in}{0.4pt} \hfill
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$\bullet$ You have 15 minutes \hfill $\bullet$ No calculators \hfill $\bullet$ Show sufficient work
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\item (3 points) A spherical balloon is being inflated so that its diameter is increasing at a constant rate of $2$ $cm/min$. How quickly is the volume of the balloon increasing when the diameter is $10$ $cm$ ?
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\item (4 points) The position in meters of a particle at time $t \geq 0$ seconds is given by
$$s(t) = \frac{t^{3}}{3} - 2t^{2} + 10t + 17$$
What is the particle's acceleration at the moment when the particle's velocity is $15$ $m/s$ ? Use correct units in your final answer.
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\item (3 points) A curve passes through the point $(1, e^{5})$ and has the property that for each point on the curve, the slope of the curve is equal to twice the $y$-coordinate. What is the equation of the curve?
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