User:5849206328x: Difference between revisions
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// Label f; | // Label f; | ||
// f.p=fontsize(6); | // f.p=fontsize(6); | ||
xaxis(0,4); | //xaxis(0,4); | ||
yaxis(-1,2); | //yaxis(-1,2); | ||
real f(real x) { return (2/3) * (e^(-15 * x) + e^((-5/3) * x) | //real f(real x) { return (2/3) * (e^(-15 * x) + e^((-5/3) * x)); } | ||
//pair g(real t, real k) { return (1/k * 3/5 * (1 - e^(-k * t)), -t/k + 1/k * (4/5 + 1/k) * (1 - e^(-k * t))); } | //pair g(real t, real k) { return (1/k * 3/5 * (1 - e^(-k * t)), -t/k + 1/k * (4/5 + 1/k) * (1 - e^(-k * t))); } | ||
draw(graph(f | //draw(graph(f,0,4)); | ||
limits((0,-2),(4,2),Crop); | fill((-5,-2)--(-1,2)--(7,2)--(3,-2)--cycle,lightgray); | ||
dot((0,0)); draw((0,0)--(3,0),EndArrow); draw((3,0)--(4,1),EndArrow); draw((3,0)--(3,3),EndArrow); | |||
label("$\mathbf{0}$",(0,0),SW); label("$\mathbf{r}$",(1.5,0),S); | |||
label("$\dot{\mathbf{r}}$",(4,1),E); label("$\mathbf{L}$",(3,3),E); | |||
//limits((0,-2),(4,2),Crop); | |||
</asy> | </asy> | ||
Revision as of 10:28, 19 July 2015
![[asy] import slopefield; real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; // Label f; // f.p=fontsize(6); //xaxis(0,4); //yaxis(-1,2); //real f(real x) { return (2/3) * (e^(-15 * x) + e^((-5/3) * x)); } //pair g(real t, real k) { return (1/k * 3/5 * (1 - e^(-k * t)), -t/k + 1/k * (4/5 + 1/k) * (1 - e^(-k * t))); } //draw(graph(f,0,4)); fill((-5,-2)--(-1,2)--(7,2)--(3,-2)--cycle,lightgray); dot((0,0)); draw((0,0)--(3,0),EndArrow); draw((3,0)--(4,1),EndArrow); draw((3,0)--(3,3),EndArrow); label("$\mathbf{0}$",(0,0),SW); label("$\mathbf{r}$",(1.5,0),S); label("$\dot{\mathbf{r}}$",(4,1),E); label("$\mathbf{L}$",(3,3),E); //limits((0,-2),(4,2),Crop); [/asy]](http://latex.artofproblemsolving.com/d/b/f/dbfbb9eb39ba06bab0bb68405e5d17f3e96658fe.png)
