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Diffstat (limited to 'Build/source/utils/asymptote/examples/washermethod.asy')
-rw-r--r-- | Build/source/utils/asymptote/examples/washermethod.asy | 36 |
1 files changed, 36 insertions, 0 deletions
diff --git a/Build/source/utils/asymptote/examples/washermethod.asy b/Build/source/utils/asymptote/examples/washermethod.asy new file mode 100644 index 00000000000..032ed6cbc85 --- /dev/null +++ b/Build/source/utils/asymptote/examples/washermethod.asy @@ -0,0 +1,36 @@ +import graph3; +import solids; +size(0,150); +currentprojection=perspective(0,0,11,up=Y); + +pen color1=green+opacity(0.25); +pen color2=red; +real alpha=250; + +real f(real x) {return 2x^2-x^3;} +pair F(real x) {return (x,f(x));} +triple F3(real x) {return (x,f(x),0);} + +ngraph=12; +path[] p={graph(F,0.7476,1.8043,Spline)--cycle, + graph(F,0.7,0.7476,Spline)--graph(F,1.7787,1.8043,Spline)--cycle, + graph(F,0,0.7,Spline)--graph(F,1.8043,2,Spline)--cycle}; + +pen[] pn=new pen[] {color1,color2,color1}; + +for(int i=0; i < p.length; ++i) { + revolution a=revolution(path3(p[i]),Y,0,alpha); + draw(surface(a),pn[i]); + + surface s=surface(p[i]); + draw(s,pn[i]); + draw(rotate(alpha,Y)*s,pn[i]); +} + +draw((4/3,0,0)--F3(4/3),dashed); +xtick("$\frac{4}{3}$",(4/3,0,0)); + +xaxis3(Label("$x$",1),Arrow3); +yaxis3(Label("$y$",1),ymax=1.25,dashed,Arrow3); +arrow("$y=2x^2-x^3$",F3(1.6),X+Y,0.75cm,red); +draw(arc(1.1Y,0.3,90,0,7.5,180),Arrow3); |