Parametrize the curve of intersection of the sphere x^2+y^2+z^2=1 and the elliptic cylinder x^2+2z^2=1. Find the total length of this intersection curve.
Parametrize the curve of intersection of the sphere x^2+y^2+z^2=1 and the elliptic cylinder x^2+2z^2=1. Find the total length of this intersection curve.
Note you can solve the 2nd equation for to get
sub this into the first equation to get
This is an equation of an ellipse...
This should get you started
Last edited by TheEmptySet; December 8th 2009 at 08:34 AM.
Reason: Missing radical