Art of Problem Solving

User:5849206328x: Difference between revisions

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real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;


xaxis("$v$",0,4);
xaxis("$x$",0,5);
yaxis("$\gamma$",0,4);
yaxis("$ct$",0,5);


real f(real x) { return 1/sqrt(1 - x^2/12.25); }
real f(real x) { return (x^3 - 9 * x^2 + 29 * x - 15)/6; }


draw(graph(f,0,3.499)); draw((3.5,0)--(3.5,4),dashed);
draw(graph(f,1,5)); dot((3.5,f(3.5)));
label("$0$",(0,0),W); label("$1$",(0,1),W); label("$c$",(3.5,0),S);
label("$P$",(3.5,f(3.5)),SE);


limits((-1,-1),(4,4),Crop);
limits((-1,-1),(5,5),Crop);
</asy>
</asy>



Revision as of 19:42, 25 July 2015

[asy] size(216);  real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;  xaxis("$x$",0,5); yaxis("$ct$",0,5);  real f(real x) { return (x^3 - 9 * x^2 + 29 * x - 15)/6; }  draw(graph(f,1,5)); dot((3.5,f(3.5))); label("$P$",(3.5,f(3.5)),SE);  limits((-1,-1),(5,5),Crop); [/asy]