Posted by **Lamar** on Saturday, February 15, 2014 at 1:05am.

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.

- Calculus 3 -
**Steve**, Saturday, February 15, 2014 at 6:30am
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 √(25-t^2-5t^4)

- Calculus 3 -
**Damon**, Saturday, February 15, 2014 at 5:33pm
I got sqrt 5 on the bottom

- Calculus 3 - Damon is correct -
**Steve**, Sunday, February 16, 2014 at 11:34am
and you would be correct.

I knew there was something not right.

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