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The graph was made in Matlab with the following source code. Corrected in Inkscape
% draw paraboloid level sets with lwo line constraintsparab='(2*x)^2 + (3*y)^2 + 10';l1_slope=1.5;l1_b=-1;l2_slope=-1/l1_slope;l2_b=l1_b-3;figure(1);holdoff;surface=ezsurf(parab);holdon;ezplot(['-y + 'num2str(l1_slope)'*x +'num2str(l1_b)]);ezplot(['-y + 'num2str(l2_slope)'*x +'num2str(l2_b)]);ezcontour(parab,30);set(gcf,'Color','White');title('');%bug workaround to make Z-axis appearset(surface,'MarkerEdgeColor','none');set(surface,'Marker','+');%set shadingshadingflat;%plot2svg must be retrieved from http://www.zhinst.com/blogs/schwizer/plot2svg;
Original upload log
This image is a derivative work of the following images:
2010-05-25T19:03:37Z Andrebis 560x420 (39342 Bytes) {{Information |Description={{en|1=Graph of a paraboloid, its level sets and two line constraints.}} |Source={{own}} |Author=[[User:Andrebis|Andrebis]] |Date=2010-05-25 |Permission= |other_versions= }} Useful for visualizing t