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\title{Numerical Methods in Civil Engineering}
\author{Assignment No. 1} \date{}

\begin{document}

\maketitle

%\begin{abstract}\end{abstract}

\section{Bolzand Method}\label{Sec:BiSection}

\begin{enumerate}
	\item Find roots of following equations up to 4 decimal places by using Bolzand (Bisection) Method:
 \begin{enumerate}
	\item $x^3-3x-1=0$
	\item $x^3-x-7=0$
	\item $x^3+x^2+x+7=0$
	\item $x^3-2x-5=0$
	\item $x^3-x-4=0$
	\item $x^3+2x^2+2.2x-0.4=0$
	\item $x^3-5x^2+3=0$
	\item $3x^3+8x^2+8x+5=0$
	\item $x-\cos{x}=0$
	\item $2x=\cos{x}-3$
	\item $\cos{x}=3x-1$
	\item $\tan x+x=0$
	\item $xe^x=1$
	\item $xe^x=0$
	\item $e^x-3x=0$
	\item $xe^x-2=0$
	\item $3x-\sqrt{1-sin(x)}$
	\item $x\log_{10} x=1.2$
 \end{enumerate}
	\item Find root of $\sqrt{3}$ correct to 2 decimal places.
\end{enumerate}

\section{Regula False Method} Solve 50\% problems of section \ref{Sec:BiSection} by Regula False Method (The Method of False Position).

\end{document}
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