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.

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- Dec 7th 2009, 02:37 PMjonnyp2009Parametrize the curve of intersection
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.

- Dec 7th 2009, 02:54 PMTheEmptySet
- Dec 8th 2009, 07:17 AMjonnyp2009
ok thanks i got it now, i then get x=cost and solve for y then plug them both into sphere equation for z

so

and