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Calculus 3

posted by on .

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 - ,

    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 - ,

    I got sqrt 5 on the bottom

  • Calculus 3 - Damon is correct - ,

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

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