Difference between revisions of "User:5849206328x"

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<asy>
 
<asy>
 
import slopefield;
 
import slopefield;
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size(180);
  
 
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
 
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
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//draw(graph(f,0,4));
 
//draw(graph(f,0,4));
  
fill((-5,-2)--(-1,2)--(7,2)--(3,-2)--cycle,lightgray);
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dot((0,0)); dot((3,-1)); draw((1,-3)--(4,0),dashed); draw((0,0)--(2,-2),dashed); draw((0,0)--(3,-1),EndArrow); draw((3,-1)--(4,0),EndArrow);
dot((0,0)); draw((0,0)--(3,0),EndArrow); draw((3,0)--(4,1),EndArrow); draw((3,0)--(3,3),EndArrow);
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draw(rightanglemark((0,0),(2,-2),(3,-1),3));
  
label("$\mathbf{0}$",(0,0),SW); label("$\mathbf{r}$",(1.5,0),S);
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label("$O$",(0,0),W); label("$d$",(1,-1),SW); label("$m$",(3,-1),SE); label("$\mathbf{r}$",(1.5,-0.5),NNE); label("$\dot{\mathbf{r}}$",(3.5,-0.5),SE);
label("$\dot{\mathbf{r}}$",(4,1),E); label("$\mathbf{L}$",(3,3),E);
 
  
 
//limits((0,-2),(4,2),Crop);
 
//limits((0,-2),(4,2),Crop);
 
</asy>
 
</asy>

Revision as of 11:39, 19 July 2015

[asy] import slopefield;  size(180);  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));  dot((0,0)); dot((3,-1)); draw((1,-3)--(4,0),dashed); draw((0,0)--(2,-2),dashed); draw((0,0)--(3,-1),EndArrow); draw((3,-1)--(4,0),EndArrow); draw(rightanglemark((0,0),(2,-2),(3,-1),3));  label("$O$",(0,0),W); label("$d$",(1,-1),SW); label("$m$",(3,-1),SE); label("$\mathbf{r}$",(1.5,-0.5),NNE); label("$\dot{\mathbf{r}}$",(3.5,-0.5),SE);  //limits((0,-2),(4,2),Crop); [/asy]