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{\bf Exam I}

\textbf{Exam I}

\textit{Exam I}

{\it Exam I}

%{\emph Exam I}

\emph{Exam 1 \emph{(First Exam)}}

{\large Exam 1}

{\Large Exam 1}

{\huge Exam 1}
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{\bf Instructions: } Answer \footnote{Do only 5 questions.} the following. 
\begin{enumerate}

    \item Solve \(x^2      = ~~~ 3 \sqrt{x}.\)

    \item Solve $x = \tan{x}.$

    \item Solve \[y^{\prime} - 3x = 7.\]
    
    \item Solve \[y'' - 3y' = 7.\]

    \item The following parts are unrelated:
     \begin{enumerate}
        \item [(i)] What is the value of $\sum_{i=1}^n i$?
        
       % \item What is the value of \(\sum_{i=1}^n i\)?
        %\item[b)] What is the value of
         %   \begin{math}\sum_{i=1}^n i? \end{math}
        
        \item[(ii)] What is the value of \[\sum_{i=1}^n i^2?\]
    \end{enumerate}
    
    \item Find \(\int_2^5 \frac{1}{x+1}~dx\)?
    
    \item Consider the equation
        \begin{equation} 
        \tan x = x. \label{eq1}
        \end{equation}
        Use fixed-point iteration to solve 
        Equation (\ref{eq1}). What is $x_{12}$ in this iteration?
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\end{enumerate}

Question \#8: \ldots
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