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\begin{document}
\raggedright





\renewcommand{\thesection}{}
\section{Grupa A - Pismeni ispit iz Matematike, 04.09.2014.}
\setcounter{zad}{0}



\textbf{Važno: Ispit pisati isključivo hemiskom olovkom, obratiti pažnju na matematičku pismenost}


\begin{multicols}{2}


\begin{zad}
Rješiti sistem jednačina

\vspace*{-6mm}
\begin{alignat*}{9}
5x_1&\,-\,&x_2&\,+\,&2x_3&\,+\,&x_4&=7\\
2x_1&\,+\,&x_2&\,+\,&4x_3&\,-\,&2x_4&=1\\
x_1&\,-\,&3x_2&\,-\,&6x_3&\,+\,&5x_4&=0.
\end{alignat*}
\end{zad}



\begin{zad}
Ispitati funkciju i nacrtati njen grafik \hspace*{20mm}$y=\displaystyle{ 
\ln\frac{2-x}{x^2} 
}$.
\end{zad}



\begin{zad}
Odrediti integral $\displaystyle{\int\frac{3x^2+8}{x^3+4x^2+4x}\dx}$.
\end{zad}






\begin{zad}
Rješiti diferencijalnu jednačinu $\displaystyle{
x\frac{\dy}{\dx}=y+x^3+3x^2-2x
}$.
\end{zad}







\end{multicols}














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\vspace*{3mm}


\renewcommand{\thesection}{}
\section{Grupa B - Pismeni ispit iz Matematike, 04.09.2014.}
\setcounter{zad}{0}


\textbf{Važno: Ispit pisati isključivo hemiskom olovkom, obratiti pažnju na matematičku pismenost}




\begin{multicols}{2}

\begin{zad}
Rješiti sistem jednačina

\vspace*{-6mm}
\begin{alignat*}{9}
3x_1&\,-\,&5x_2&\,+\,&2x_3&\,+\,&4x_4&=2\\
7x_1&\,-\,&4x_2&\,+\,&x_3&\,+\,&3x_4&=5\\
5x_1&\,+\,&7x_2&\,-\,&4x_3&\,-\,&6x_4&=3.
\end{alignat*}
\end{zad}




\begin{zad}
Ispitati funkciju i nacrtati njen grafik \hspace*{20mm}$y=\displaystyle{
\frac{e^x}{e^x-e^{-2x}}
}$.
\end{zad}





\begin{zad}
Odrediti integral $\displaystyle{\int\frac{x^3+4x^2+4x}{x^4+x}\dx}$.
\end{zad}



\begin{zad}
Rješiti diferencijalnu jednačinu $\displaystyle{
(x-2)\frac{\dy}{\dx}=y+2(x-2)^3
}$.
\end{zad}

\end{multicols}




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\vspace*{3mm}


\renewcommand{\thesection}{}
\section{Grupa C - Pismeni ispit iz Matematike, 04.09.2014.}
\setcounter{zad}{0}



\textbf{Važno: Ispit pisati isključivo hemiskom olovkom, obratiti pažnju na matematičku pismenost}




\begin{multicols}{2}


\begin{zad}
Rješiti sistem jednačina

\vspace*{-6mm}
\begin{alignat*}{9}
2x_1&\,+\,&5x_2&\,-\,&8x_3&=8\\
4x_1&\,+\,&3x_2&\,-\,&9x_3&=9\\
2x_1&\,+\,&3x_2&\,-\,&5x_3&=7\\
x_1&\,+\,&8x_2&\,-\,&7x_3&=12.
\end{alignat*}
\end{zad}







\begin{zad}
Ispitati funkciju i nacrtati njen grafik \hspace*{20mm}$y=\displaystyle{\frac{3x^3-1}{(x+1)^3}}$.
\end{zad}




\begin{zad}
Odrediti integral $\displaystyle{\int\frac{x^3-3}{x^4+10x^2+25}\dx}$.
\end{zad}


\begin{zad}
Rješiti diferencijalnu jednačinu $\displaystyle{
\frac{\dy}{\dx}+2xy=4x
}$.
\end{zad}


\end{multicols}


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\vspace*{3mm}


\renewcommand{\thesection}{}
\section{Grupa D - Pismeni ispit iz Matematike, 04.09.2014.}
\setcounter{zad}{0}

\textbf{Važno: Ispit pisati isključivo hemiskom olovkom, obratiti pažnju na matematičku pismenost}







\begin{multicols}{2}

\begin{zad}
Rješiti sistem jednačina

\vspace*{-6mm}
\begin{alignat*}{9}
3x_1&\,-\,&5x_2&\,+\,&2x_3&\,+\,&4x_4&=2\\
7x_1&\,-\,&4x_2&\,+\,&x_3&\,+\,&3x_4&=5\\
5x_1&\,+\,&7x_2&\,-\,&4x_3&\,-\,&6x_4&=3.
\end{alignat*}
\end{zad}




\begin{zad}
Ispitati funkciju i nacrtati njen grafik \hspace*{20mm}$y=\displaystyle{
\frac{e^x}{e^x-e^{-2x}}
}$.
\end{zad}





\begin{zad}
Odrediti integral $\displaystyle{\int\frac{x^3+4x^2+4x}{x^4+x}\dx}$.
\end{zad}



\begin{zad}
Rješiti diferencijalnu jednačinu $\displaystyle{
(x-2)\frac{\dy}{\dx}=y+2(x-2)^3
}$.
\end{zad}

\end{multicols}






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\centerline{
Zadaci su skinuti sa stranice 
\underline{ff.unze.ba\slash nabokov}.}
\centerline{
Za uočene greške pisati na {\it infoarrt@gmail.com}
}




\end{document}