Homework or exam

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  {\Large\textbf{Math 101: Homework 3}}\\
  Due Friday. Total: 30 points.
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\noindent Name: \underline{\hspace{6cm}}

\begin{enumerate}
  \item Compute $\displaystyle \int_0^{\pi} \sin x \, dx$. \points{5}
  \item Solve the system \points{10}
    \[ \begin{aligned} x + y &= 3, \\ 2x - y &= 0. \end{aligned} \]
  \item Prove that $\sqrt{2}$ is irrational. \points{10}
  \item True or false? Give a reason. \points{5}
    \begin{enumerate}
      \item Every continuous function is differentiable.
      \item $\sum_{n \ge 1} 1/n$ converges.
    \end{enumerate}
\end{enumerate}
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