Calculus 3
posted by Lamar .
If the curve of intersection of the parabolic cylinder
y = x^2
and the top half of the ellipsoid
x^2 + 5y^2 + 5z^2 = 25.
Then find parametric equations for this curve.

the cylinder has parametric equations
x = t
y = t^2
Intersect that with the ellipsoid and you get
x = t
y = t^2
z = 1/5 √(25t^25t^4) 
I got sqrt 5 on the bottom

and you would be correct.
I knew there was something not right.