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\textbf{Math 126C: Calculus II}
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\textbf{Quiz 2}\quad \textsl{September 5, 2000}

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1. Calculate the following, \emph{showing all your work and all important
steps}.

\textit{a)} $\frac{d}{dx}\big(x^{1/x}\big)$

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\textit{b)} $\int_0^1 \frac{e^x}{1+e^x}\,dx$

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2.  Let $f(t) = 3 e^{-kt}$. Find $k$ such that $f(2) = \frac{1}{4}f(1)$.


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