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{\bf Math 166: Honors Calculus II}
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{\bf Quiz 2}\quad {\sl Feb. 3, 2000}

\begin{enumerate}

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\item 
  \begin{enumerate}[a)]
  \item Define the natural logarithm function, $\log(x)$,
  and the natural exponential function, $\exp(x)$.
  \answerspace
  \item Define $b^x$ for $b>0$ and $x\in\R$.
  \answerspace
  \item Define $\sinh(x)$ and $\cosh(x)$.
  \end{enumerate}

\newpage
\item  Compute the following. (Justify your answers.)
  \begin{enumerate}[a)]
  \item 
  $\int_0^2 \frac{1}{3^x}\,dx$
  \answerspace
  \item 
  $\frac{d}{dx} x^{\log(x)}$
  \answerspace
  \item 
  $\int (xe^x)^2\,dx$
  \answerspace
  \end{enumerate}

\end{enumerate}

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