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\begin{document}
\raggedright


\renewcommand{\thesection}{}
\section{Grupa A - Pismeni ispit iz Matematike, 27.06.2013.
ispit pisati isključivo hemiskom olovkom}
\setcounter{zad}{0}


\begin{zad}
Riješiti sistem jednačina\\
\vspace*{-6mm}
\begin{alignat*}{9}
x_1 &\,\,+\,\, &2x_2 &\,\,-\,\, &4x_3 &\,\,-\,\, &8x_4 &\,\,-\,\, &12x_5 &\,\,=\,\, &-11\\
-2x_1 &\,\,-\,\, &3x_2 &\,\,+\,\, &5x_3 &\,\,+\,\, &10x_4 &\,\,+\,\, &15x_5 &\,\,=\,\, &7\\
-3x_1 &\,\,-\,\, &5x_2 &\,\,+\,\, &10x_3 &\,\,+\,\, &20x_4 &\,\,+\,\, &30x_5 &\,\,=\,\, &25.
\end{alignat*}
\end{zad}


\begin{zad}
Ispitati i nacrtati grafik funkcije 
$\displaystyle{
y=\frac{x-2}{x^2-8x+16}
}$.
\end{zad}


\begin{zad}
Izračunati:\,\,\,\,\,
$\displaystyle{
\int\limits_{-\pi/2}^{\pi/2} x\cos x\,\dx-
\int\limits_{\pi/2}^{3\pi/2} x\cos x\,\dx
}$.
\end{zad}


\begin{zad}
Riješiti diferencijalnu jednačinu 
$\displaystyle{
x^2(y+1)\dx +y^2(x-1)\dy=0
}$.
\end{zad}


















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\vspace*{18mm}
\section{Grupa B - Pismeni ispit iz Matematike, 27.06.2013.
ispit pisati isključivo hemiskom olovkom}
\setcounter{zad}{0}


\begin{zad}
Riješiti sistem jednačina\\
\vspace*{-6mm}
\begin{alignat*}{9}
x_1 &\,\,+\,\, &2x_2 &\,\,-\,\, &4x_3  &\,\,+\,\, &8x_4 &\,\,+\,\, &12x_5 &\,\,=\,\, &-10\\
3x_1 &\,\,+\,\, &7x_2 &\,\,-\,\, &15x_3 &\,\,+\,\, &30x_4 &\,\,+\,\, &45x_5 &\,\,=\,\, &-43\\
-2x_1 &\,\,-\,\, &3x_2 &\,\,+\,\, &6x_3 &\,\,-\,\, &12x_4 &\,\,-\,\, &18x_5 &\,\,=\,\, &13.
\end{alignat*}
\end{zad}


\begin{zad}
Ispitati i nacrtati grafik funkcije 
$\displaystyle{
y=\frac{x-5}{x^2-2x+1}
}$.
\end{zad}


\begin{zad}
Izračunati:\,\,\,\,\,
$\displaystyle{
\int\limits_{-\pi/2}^{\pi/2} e^x\cos x\,\dx-
\int\limits_{\pi/2}^{3\pi/2} e^x\cos x\,\dx
}$.
\end{zad}


\begin{zad}
Riješiti diferencijalnu jednačinu 
$\displaystyle{
4x \dy -y \dx=x^2\dy
}$.
\end{zad}



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\newpage
\section{Grupa C - Pismeni ispit iz Matematike, 27.06.2013.
ispit pisati isključivo hemiskom olovkom}
\setcounter{zad}{0}



\begin{zad}
Riješiti sistem jednačina\\
\vspace*{-6mm}
\begin{alignat*}{9}
x_1 &\,\,+\,\, &2x_2 &\,\,-\,\, &4x_3 &\,\,-\,\, &4x_4 &\,\,-\,\, &16x_5 &\,\,=\,\, &-9\\
2x_1 &\,\,+\,\, &5x_2 &\,\,-\,\, &11x_3 &\,\,-\,\, &11x_4 &\,\,-\,\, &44x_5 &\,\,=\,\, &-29\\
-4x_1 &\,\,-\,\, &7x_2 &\,\,+\,\, &14x_3 &\,\,+\,\, &14x_4 &\,\,+\,\, &56x_5 &\,\,=\,\, &30.
\end{alignat*}
\end{zad}



\begin{zad}
Ispitati i nacrtati grafik funkcije 
$\displaystyle{
y=\frac{x-3}{x^2-4x+4}
}$.
\end{zad}


\begin{zad}
Izračunati:\,\,\,\,\,
$\displaystyle{
\int\limits_{0}^{\pi} x\sin x\,\dx-
\int\limits_{\pi}^{2\pi} x\sin x\,\dx
}$.
\end{zad}


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






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\vspace*{18mm}
\section{Grupa D - Pismeni ispit iz Matematike, 27.06.2013.
ispit pisati isključivo hemiskom olovkom}
\setcounter{zad}{0}


\begin{zad}
Riješiti sistem jednačina\\
\vspace*{-6mm}
\begin{alignat*}{9}
x_1 &\,\,+\,\, &2x_2 &\,\,-\,\, &4x_3 &\,\,+\,\, &16x_4 &\,\,-\,\, &4x_5 &\,\,=\,\, &-8\\
-2x_1 &\,\,-\,\, &3x_2 &\,\,+\,\, &5x_3 &\,\,-\,\, &20x_4 &\,\,+\,\, &5x_5 &\,\,=\,\, &7\\
4x_1 &\,\,+\,\, &9x_2 &\,\,-\,\, &18x_3 &\,\,+\,\, &72x_4 &\,\,-\,\, &18x_5 &\,\,=\,\, &-37.
\end{alignat*}
\end{zad}



\begin{zad}
Ispitati i nacrtati grafik funkcije 
$\displaystyle{
y=\frac{x-1}{x^2-10x+25}
}$.
\end{zad}


\begin{zad}
Izračunati:\,\,\,\,\,
$\displaystyle{
\int\limits_{0}^{\pi} e^x\sin x\,\dx-
\int\limits_{\pi}^{2\pi} e^x\sin x\,\dx
}$.
\end{zad}


\begin{zad}
Odrediti partikularno rješenje diferencijalne jednačine 
$\displaystyle{
(1+x^3)\dy-x^2y\dx=0
}$ koje zadovoljava inicijalni uslov $x=1$, $y=2$.
\end{zad}






\end{document}