Difference between revisions of "User:5849206328x"

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}$",(3,3),E); //limits((0,-2),(4,2),Crop); [/asy]$

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Difference between revisions of "User:5849206328x"

Revision as of 10:28, 19 July 2015

@@ Line 7: / Line 7: @@
 // Label f;
 // 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)); }
-real g(real x) { return (4/3) * e^(-x) * cos(4 * x); }
-real h(real x) { return (4/3) * e^(-5 * x) * (1 + 5 * 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));
+//draw(graph(f,0,4));
-draw(graph(g,0,4));
-draw(graph(h,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>