Art of Problem Solving

User:5849206328x: Difference between revisions

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Label f;
Label f;
f.p=fontsize(6);
f.p=fontsize(6);
xaxis(0,10);
xaxis(-1,1);
yaxis(-1,6);
yaxis(-0.01,0.01);


real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
real f(real x) { return 25/3 * x * e^(-x); }
real f1(real x) { return 0.5 * e^4 * e^(-0.01/(x + 0.1)^2); }
real f1(real x) { return 10 * e^(-2x/3) - 10 * e^(-3x/2); }
real f2(real x) { return 1 - 0.5 * e^4 * e^(-0.01/x^2); }
real f2(real x) { return 125/12 * e^(-3x/5) * sin(4x/5); }
real f3(real x) { return 0.5 * e^4 * e^(-0.01/(x - 0.1)^2); }


draw(graph(f,0,10,n=10000));
draw(graph(f1,-0.0999999999,-0.05));
draw(graph(f1,0,10,n=10000), dashed);
draw(graph(f2,-0.05,-0.0000000001)); draw(graph(f2,0.0000000001,0.05));
draw(graph(f2,0,10,n=10000), dashed);
draw(graph(f3,0.05,0.0999999999));
</asy>
</asy>

Revision as of 10:55, 10 June 2015

[asy] import slopefield;  Label f; f.p=fontsize(6); xaxis(-1,1); yaxis(-0.01,0.01);  real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; real f1(real x) { return 0.5 * e^4 * e^(-0.01/(x + 0.1)^2); } real f2(real x) { return 1 - 0.5 * e^4 * e^(-0.01/x^2); } real f3(real x) { return 0.5 * e^4 * e^(-0.01/(x - 0.1)^2); }  draw(graph(f1,-0.0999999999,-0.05)); draw(graph(f2,-0.05,-0.0000000001)); draw(graph(f2,0.0000000001,0.05)); draw(graph(f3,0.05,0.0999999999)); [/asy]