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\input{preamble-standalone.ltx}
\begin{document}

% Ex. No. 34 (Section  8.11 : Courbes de niveaux)

\begin{tikzpicture}[scale=.75]
 \tkzInit[xmax=20,ymax=12]
 \tkzGrid[color=orange,sub](0,0)(20,12)
 \tkzAxeXY
 \tkzFct[samples=400,domain =0:8]{(32-4*x)**(0.5)}   % a
 \tkzFct[samples=400,domain =0:18]{(72-4*x)**(0.5)}  % b
 \tkzFct[samples=400,domain =0:20]{(112-4*x)**(0.5)} % c
 \tkzFct[samples=400,domain =2:20]{(152-4*x)**(0.5)} % d
 \tkzFct[samples=400,domain =12:20]{(192-4*x)**(0.5)}% e
 \def\tkzFctgnuf{0} % f
 \def\tkzFctgnug{12}% g
 \tkzDrawAreafg[between= b and a,color=gray!80,domain = 0:8]
 \tkzDrawAreafg[between= b and f,color=gray!80,domain = 8:18]
 \tkzDrawAreafg[between= d and c,color=gray!50,domain = 2:20]
 \tkzDrawAreafg[between= g and c,color=gray!50,domain = 0:2]
 \tkzDrawAreafg[between= g and e,color=gray!20,domain =12:20]
\end{tikzpicture}%

\end{document}