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Quiz 9\quad Apr.~13/15, 1993\cr
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1.  A certain vibrating system satisfies the equation
	$$u'' + c u' + u = 0,\quad u(0) = 1,\quad u'(0) = -c/2$$ for
some constant damping coefficient $0 < c < 2$. Find the first time
$T > 0$ when the displacement $u(T) = 0$.

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2. Find the first three non-zero terms in the Taylor Series for
$f(x) = {x\over 1 - x}$ centered at $x_0 = 3$ and determine the radius
of convergence of the series.

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