Art of Problem Solving

User:5849206328x: Difference between revisions

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<asy>
size(216);
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
xaxis("$v$",0,4);
yaxis("$\gamma$",0,4);
real f(real x) { return 1/sqrt(1 - x^2/12.25); }
draw(graph(f,0,3.499)); draw((3.5,0)--(3.5,4),dashed);
label("$0$",(0,0),W); label("$1$",(0,1),W); label("$c$",(3.5,0),S);
limits((-1,-1),(4,4),Crop);
</asy>
<!-- 3D
<asy>
<asy>
import graph3;
import graph3;
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label("$O'$",(0,0,0),W); label("$S'$",(0,-1,4),W); label("$v$",(0,1,4),NE);
label("$O'$",(0,0,0),W); label("$S'$",(0,-1,4),W); label("$v$",(0,1,4),NE);
</asy>
</asy>
-->

Revision as of 19:12, 25 July 2015

[asy] size(216);  real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;  xaxis("$v$",0,4); yaxis("$\gamma$",0,4);  real f(real x) { return 1/sqrt(1 - x^2/12.25); }  draw(graph(f,0,3.499)); draw((3.5,0)--(3.5,4),dashed); label("$0$",(0,0),W); label("$1$",(0,1),W); label("$c$",(3.5,0),S);  limits((-1,-1),(4,4),Crop); [/asy]