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\begin{document}
\raggedright





\renewcommand{\thesection}{}
\section{Grupa A - Pismeni ispit iz Matematike, 25.06.2014.}
\setcounter{zad}{0}



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


\begin{multicols}{2}


\begin{zad}
Rješiti sistem jednačina i diskutovati rješenja u zavisnosti od parametra $\lambda$

\vspace*{-6mm}
\begin{alignat*}{9}
\lambda x  & \,\,+\,\, & 2y &\,\,+\,\,&  z &= 3\\
-9x  & \,\,-\,\, & 2\lambda y &\,\,+\,\,&  3z &= \lambda\\
8x  & \,\,+\,\, & \lambda y &\,\,+\,\,&  2z &= 6.
\end{alignat*}
\end{zad}



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



\begin{zad}
Izračunati integral $\displaystyle{I=\int\limits_1^e \sin(\ln x)\dx}$.
\end{zad}






\begin{zad}
Rješiti diferencijalnu jednačinu $\displaystyle{
(2x-5y+3)\dx-(2x+4y-6)\dy=0
}$.
\end{zad}







\end{multicols}














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\vspace*{3mm}


\renewcommand{\thesection}{}
\section{Grupa B - Pismeni ispit iz Matematike, 25.06.2014.}
\setcounter{zad}{0}


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




\begin{multicols}{2}

\begin{zad}
Rješiti sistem jednačina i diskutovati rješenja u zavisnosti od parametra $\lambda$

\vspace*{-6mm}
\begin{alignat*}{9}
2x  & \,\,+\,\, & (2\lambda-4)y &\,\,+\,\,&  (\lambda-3)z &= 8\\
2x  & \,\,+\,\, & (\lambda-2) y &\,\,\,\,\,& \,  &= 5\\
-3x  & \,\,\,\,\, & \, &\,\,+\,\,&  (\lambda-3)z &= -3.
\end{alignat*}
\end{zad}




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





\begin{zad}
Izračunati integral $\displaystyle{I=\int\frac{\dx}{\sqrt[3]{x^2}+2x}}$.
\end{zad}



\begin{zad}
Rješiti diferencijalnu jednačinu $\displaystyle{
(x-y-1)\dx+(4y+x-1)\dy=0
}$.
\end{zad}





\end{multicols}




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\vspace*{3mm}


\renewcommand{\thesection}{}
\section{Grupa C - Pismeni ispit iz Matematike, 25.06.2014.}
\setcounter{zad}{0}



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




\begin{multicols}{2}


\begin{zad}
Rješiti sistem jednačina i diskutovati rješenja u zavisnosti od parametra $\lambda$

\vspace*{-6mm}
\begin{alignat*}{9}
x  & \,\,+\,\, & 2y &\,\,+\,\,&  \lambda z &= 1\\
2x  & \,\,+\,\, & (\lambda+1) y &\,\,+\,\,&  (2\lambda+2)z &= 2\\
-3x  & \,\,-\,\, & 6y &\,\,+\,\,&  (4-2\lambda)z &= -6.
\end{alignat*}
\end{zad}







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




\begin{zad}
Izračunati integral $\displaystyle{\int \cos^6x \dx}$.
\end{zad}


\begin{zad}
Rješiti diferencijalnu jednačinu $\displaystyle{
(x+y)\dx+(3x+3y-4)\dy=0
}$.
\end{zad}


\end{multicols}


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\vspace*{3mm}


\renewcommand{\thesection}{}
\section{Grupa D - Pismeni ispit iz Matematike, 25.06.2014.}
\setcounter{zad}{0}

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



\begin{multicols}{2}

\begin{zad}
Rješiti sistem jednačina i diskutovati rješenja u zavisnosti od parametra $\lambda$

\vspace*{-6mm}
\begin{alignat*}{9}
2x  & \,\,+\,\, & (2\lambda-4)y &\,\,+\,\,&  (\lambda-3)z &= 8\\
2x  & \,\,+\,\, & (\lambda-2) y &\,\,\,\,\,& \,  &= 5\\
-3x  & \,\,\,\,\, & \, &\,\,+\,\,&  (\lambda-3)z &= -3.
\end{alignat*}
\end{zad}




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





\begin{zad}
Izračunati integral $\displaystyle{I=\int\frac{\dx}{\sqrt[3]{x^2}+2x}}$.
\end{zad}



\begin{zad}
Rješiti diferencijalnu jednačinu $\displaystyle{
(x-y-1)\dx+(4y+x-1)\dy=0
}$.
\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}