Difference between revisions of "User:5849206328x"
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import slopefield; | import slopefield; | ||
| − | size(288); | + | //size(288); |
real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; | real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; | ||
| Line 9: | Line 9: | ||
// Label f; | // Label f; | ||
// f.p=fontsize(6); | // f.p=fontsize(6); | ||
| − | xaxis(0,5); | + | //xaxis(0,5); |
| − | yaxis(-2,3); | + | //yaxis(-2,3); |
| − | real f(real x) { return 3 * (-1/x + 1/(2*x^2)); } | + | //real f(real x) { return 3 * (-1/x + 1/(2*x^2)); } |
//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,0.0001,5) | + | //draw(graph(f,0.0001,5)); |
| − | + | pair A = (7, 4 * sqrt(141)/5); | |
| − | |||
| − | limits((-1,-2),(5.2,3.2),Crop); | + | draw(ellipse((-15,0),25,20)); draw((-50,0)--(20,0)); draw((-15,-25)--(-15,25)); draw((0,0)--(0,16),dashed); |
| + | dot((0,0)); draw((0,0)--A--(A + (-3,4.1)),EndArrow); dot(A); | ||
| + | |||
| + | label("$O$",(0,0),S); label("$ea$",(-8,0),S); label("$a$",(-28,0),S); label("$b$",(-15,10),W); label("$l$",(0,8),W); | ||
| + | label("$\mathbf{r}$",A/2,NW); label("$\theta$",(1,0),NE); label("$m$",A,NE); | ||
| + | |||
| + | //limits((-1,-2),(5.2,3.2),Crop); | ||
| + | |||
| + | // e = 3/5, l = 9, a = 25, b = 20 | ||
| + | // (x + 15)^2/25^5 + y^2/20^2 = 141 * 400/625 = 141 * 16/25 | ||
</asy> | </asy> | ||
Revision as of 20:36, 19 July 2015
![[asy] import slopefield; //size(288); real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; // Label f; // f.p=fontsize(6); //xaxis(0,5); //yaxis(-2,3); //real f(real x) { return 3 * (-1/x + 1/(2*x^2)); } //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,0.0001,5)); pair A = (7, 4 * sqrt(141)/5); draw(ellipse((-15,0),25,20)); draw((-50,0)--(20,0)); draw((-15,-25)--(-15,25)); draw((0,0)--(0,16),dashed); dot((0,0)); draw((0,0)--A--(A + (-3,4.1)),EndArrow); dot(A); label("$O$",(0,0),S); label("$ea$",(-8,0),S); label("$a$",(-28,0),S); label("$b$",(-15,10),W); label("$l$",(0,8),W); label("$\mathbf{r}$",A/2,NW); label("$\theta$",(1,0),NE); label("$m$",A,NE); //limits((-1,-2),(5.2,3.2),Crop); // e = 3/5, l = 9, a = 25, b = 20 // (x + 15)^2/25^5 + y^2/20^2 = 141 * 400/625 = 141 * 16/25 [/asy]](http://latex.artofproblemsolving.com/0/e/1/0e14ef0112122dd250809c9866323729fc67a117.png)
