5.7 How to make contour plot of \(f(x,y)\) ?

Problem: Make contour of \(f(x,y)=(11-x-y)^2 + (1+x+10 y-xy)^2 \) over region \(0<x<20\) and \(0<y<10\).

Contour label placement seems to be better in Matlab. It is put in the middle of the line automatically.

Mathematica f = (11 - x - y)^2 + (1 + x + 10 y - x y)^2; ContourPlot[f, {x, 0, 20}, {y, 0, 15}, Contours -> 10, ContourShading -> None, ContourLabels -> Function[{x, y, z}, Text[z, {x, y}]], AspectRatio -> Automatic, PlotRangePadding -> 2]

 

Matlab x = 0:0.05:20; y = 0:0.05:15; [x,y] = meshgrid(x,y); z = (11-x-y).^2 + (1+x+10*y-x.*y).^2; [C,h] =contour(x,y,z,10); clabel(C,h) title('Contours Labeled Using clabel(C,h)')