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\begin{center}Math 132: Calculus for Physical and Life Sciences 2 \\ Problem Set 7 \\ Due Friday, April 4, 2008, at the beginning of class.\\ Selected answers\end{center}\vspace{.1in}

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1. (b) (c) \begin{center}
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(Note that the default grid of points used by Maple to generate its
plot of the direction field uses more finely spaced points than the 
integer grid specified in the problem, so this shows more detail.  In
the solution you hand in, follow the given directions -- do not try to
reproduce this picture!)

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(d) $y(1)\approx 2.97664$\vspace{.1in}

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3. (a) $\displaystyle y=\arcsin\left(A \sqrt{\left| \frac{x+1}{x+3}\right|}\right)$

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(c) $\displaystyle y=4e^{x^2}$

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(e) $\displaystyle y = - \frac{1}{x^2+x^3-1}$\vspace{.1in}

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5. (a) $T(25) \approx 13.2^{\circ}$\vspace{.1in}

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6. (a) $\displaystyle \frac{dP}{dt}=-k \sqrt{P}$\vspace{.1in}

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(c) The population will disappear entirely after $20$ weeks.

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