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\usepackage[left=12mm,right=12mm,top=18mm,bottom=22mm]  
{geometry}
\usepackage{makeidx, graphicx, amsmath, amssymb, amsthm, ae, arcs}
\usepackage[croatian, english]{babel}
\usepackage{esint, hvfloat, textpos}
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\def\du{{\mbox{\rm d$u$}}}
\def\dx{{\mbox{\rm d$x$}}}
\def\df{{\mbox{\rm d$f$}}}
\def\dr{{\mbox{\rm d$r$}}}
\def\dt{{\mbox{\rm d$t$}}}
\def\dy{{\mbox{\rm d$y$}}}
\def\dz{{\mbox{\rm d$z$}}}
\def\dfi{{\mbox{\rm d$\varphi$}}}
\def\dro{{\mbox{\rm d$\rho$}}}
\def\ds{{\mbox{\rm d$s$}}}
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\def\R{{\mbox{$\mathbb R$}}}
\def\arctg{{\mbox{\rm arc\,tg\,}}}
\def\arcsin{{\mbox{\rm arc\,sin\,}}}
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%%\swapnumbers
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\setlength{\textheight}{270mm}
\setlength{\textwidth}{175mm}


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%%%%%%%%%%%% ODAVDJE POČINJE DOKUMENT


\begin{document}



{\includegraphics[scale=1]{zaglavlje_A}}

\begin{textblock}{5}(8,0)
{\includegraphics[scale=0.8]{dvije_krive}}
\end{textblock}

\renewcommand{\thesection}{}

\section{Matematika II, prvi parcijalni, 28.04.2014.}
\setcounter{zad}{0}





\begin{zad}
Naći obim figure ograničene krivima $y^3=x^2$ i $y=\sqrt{2-x^2}$.
\end{zad}


\begin{zad}
Odrediti ekstreme funkcije $\displaystyle{
z(x,y)=\frac{1}{3}x^3-\frac{5}{2}x^2y-\frac{1}{2}x^2+4xy^2+4xy
}$.
\end{zad}



\begin{zad}
Izmjeniti poredak integracije u integralu $\displaystyle{
\int\limits_{-\sqrt{3}}^1\dx \int\limits_{-\sqrt{4-x^2}}^0 f(x,y) \dy.
}$
\end{zad}


\begin{zad}
Izračunati zapreminu tijela ograničeno površinama $2z=x^2+y^2$, $y+z=4$.
\end{zad}



\textbf{VAŽNO:} Ovaj papir treba predati zajedno s rješenjima zadataka! Ispit pisati isključivo hemijskom olovkom plave ili crne tinte.







%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



\vspace*{38mm}







{\includegraphics[scale=1]{zaglavlje_B}}

\begin{textblock}{5}(8,0)
{\includegraphics[scale=0.8]{dvije_krive}}
\end{textblock}

\renewcommand{\thesection}{}

\section{Matematika II, prvi parcijalni, 28.04.2014.}
\setcounter{zad}{0}





\begin{zad}
Naći obim figure ograničene krivima $y^3=x^2$ i $y=\sqrt{2-x^2}$.
\end{zad}


\begin{zad}
Odrediti ekstreme funkcije $\displaystyle{
z(x,y)=\frac{1}{3}x^3-\frac{5}{2}x^2y-\frac{1}{2}x^2+4xy^2+4xy
}$.
\end{zad}



\begin{zad}
Izmjeniti poredak integracije u integralu $\displaystyle{
\int\limits_{-\sqrt{3}}^1\dy \int\limits_{-\sqrt{4-y^2}}^0 f(x,y) \dx.
}$
\end{zad}


\begin{zad}
Izračunati zapreminu tijela ograničeno površinama $2z=x^2+y^2$, $y+z=4$.
\end{zad}



\textbf{VAŽNO:} Ovaj papir treba predati zajedno s rješenjima zadataka! Ispit pisati isključivo hemijskom olovkom plave ili crne tinte.










\newpage
%%\vspace*{5mm}
\centerline{
Zadaci su skinuti sa stranice 
\underline{ff.unze.ba\slash nabokov}.}
\centerline{
Za uočene greške pisati na {\it infoarrt@gmail.com}
}


\end{document}
