Difference between revisions of "User:5849206328x"
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dot((0,0)); draw((0,0)--A--(A + (-1.7,4.1)),EndArrow); dot(A); | dot((0,0)); draw((0,0)--A--(A + (-1.7,4.1)),EndArrow); dot(A); | ||
draw((-15,-40)--(30,20),dashed); draw((-15,40)--(30,-20),dashed); | draw((-15,-40)--(30,20),dashed); draw((-15,40)--(30,-20),dashed); | ||
| + | draw((6,0)--(6,12)); draw((0,0)--(48/5,-36/5),dashed); draw(rightanglemark((0,0),(48/5,-36/5),(15,0),20)); | ||
| − | + | label("$O$",(0,0),S); label("$ea$",(6,-1),SE); label("$a$",(10,0),N); label("$b$",(6,6),E); label("$l$",(0,8),W); label("$b$",(4,-3),SW); | |
| − | + | label("$\mathbf{r}$",A/2,NW); label("$\theta$",(0.5,0),NE); label("$m$",A,NE); | |
limits((-25,-25),(25,25),Crop); | limits((-25,-25),(25,25),Crop); | ||
Revision as of 21:09, 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) { return 16/(1 + 5/3 * cos(pi * t/180)) * dir(t); } draw(graph(g,-105,105)); pair A = (4, 8 * sqrt(10)/3); draw((-25,0)--(25,0)); draw((15,-25)--(15,25)); draw((0,0)--(0,16),dashed); dot((0,0)); draw((0,0)--A--(A + (-1.7,4.1)),EndArrow); dot(A); draw((-15,-40)--(30,20),dashed); draw((-15,40)--(30,-20),dashed); draw((6,0)--(6,12)); draw((0,0)--(48/5,-36/5),dashed); draw(rightanglemark((0,0),(48/5,-36/5),(15,0),20)); label("$O$",(0,0),S); label("$ea$",(6,-1),SE); label("$a$",(10,0),N); label("$b$",(6,6),E); label("$l$",(0,8),W); label("$b$",(4,-3),SW); label("$\mathbf{r}$",A/2,NW); label("$\theta$",(0.5,0),NE); label("$m$",A,NE); limits((-25,-25),(25,25),Crop); // e = 5/3, l = 16, a = 9, b = 12 // (x - 15)^2/81 - y^2/144 = 1, y^2/144 = 40/81, 40 * 144/81, sqrt(40) * 12/9 = 8sqrt(10)/3 [/asy]](http://latex.artofproblemsolving.com/2/0/5/205555cdc229267fd66a2504e42b6c5054bbc586.png)
