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 √(25t^25t^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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