User:5849206328x: Difference between revisions
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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 19:36, 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)
