Art of Problem Solving

User:5849206328x: Difference between revisions

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<asy>
<asy>
import graph3;
import slopefield;
import slopefield;


size(288);
//size(288);


real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
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//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) { return (0,6.3) + (0.4 * cos(pi * t/180), 0.2 * sin(pi * t/180)); }
//pair g(real t) { return (0,6.3) + (0.4 * cos(pi * t/180), 0.2 * sin(pi * t/180)); }


//draw(graph(g,-40,45));
//draw(graph(g,-40,45));


draw((0,0)--(0,7),EndArrow); draw(graph(g,-240,60),EndArrow);
size(0,200);
draw(circle((0,0),5)); draw((5,0)--(0,0)--(4,3)); dot((4,3));
size3(200,IgnoreAspect);
draw((4,3)--(24/5,18/5),EndArrow); draw((4,3)--(17/5,19/5),EndArrow);


label("$O$",(0,0),SW); label("$\omega$",(0,7),E);
currentprojection=perspective(5,2,2);
label("$R$",(2,1.5),NW); label("$\lambda$",(0.5,0),NE); label("$P$",(4,2.8),S);
 
label("$\hat{\mathbf{y}}$",(17/5,19/5),N); label("$\hat{\mathbf{z}}$",(24/5,18/5),NE);
scale(Linear,Linear,Log);
 
xaxis3("$x$",0,1,red,OutTicks(2,2));
yaxis3("$y$",0,1,red,OutTicks(2,2));
zaxis3("$z$",1,30,red,OutTicks(beginlabel=false));


//limits((-25,-25),(50,25),Crop);
//limits((-25,-25),(50,25),Crop);
</asy>
</asy>

Revision as of 13:48, 23 July 2015

[asy] import graph3; 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 (0,6.3) + (0.4 * cos(pi * t/180), 0.2 * sin(pi * t/180)); }  //draw(graph(g,-40,45));  size(0,200); size3(200,IgnoreAspect);  currentprojection=perspective(5,2,2);  scale(Linear,Linear,Log);  xaxis3("$x$",0,1,red,OutTicks(2,2)); yaxis3("$y$",0,1,red,OutTicks(2,2)); zaxis3("$z$",1,30,red,OutTicks(beginlabel=false));  //limits((-25,-25),(50,25),Crop); [/asy]