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.

Calculus 3 
Steve
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
I got sqrt 5 on the bottom

Calculus 3  Damon is correct 
Steve
and you would be correct.
I knew there was something not right.
Respond to this Question
Similar Questions

Calc.
sketch the curve using the parametric equation to plot the points. use an arrow to indicate the direction the curve is traced as t increases. Find the lenghth of the curve for o<t<1. Find an equation for the line tangent to the … 
math
Let C be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. Find the exact length of C from the origin to the point (3, 9/2, 9/2). 
calculus
(a) Modifying the parametric equations of a unit circle, find parametric equations for the ellipse: x^2/a^2 + y^2/b^2 = 1 (b) Eliminate the parameter to find a Cartesian equation of the curve x=2sint; y=4+cost; t >(or equal to) … 
Calc 3
Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2 + y2 and the ellipsoid 6x2 + 5y2 + 7z2 = 39 at the point (−1, 1, 2) 
Calc 3
Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x^2 + y^2 and the ellipsoid 6x^2 + 5y^2 + 7z^2 = 39 at the point (−1, 1, 2) 
Calculus
A curve is defined by the parametric equations: x = t2 – t and y = t3 – 3t Find the coordinates of the point(s) on the curve for which the normal to the curve is parallel to the yaxis. You must use calculus and clearly show your … 
calc 3
Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2 + y2 and the ellipsoid 7x2 + 2y2 + 6z2 = 33 at the point (−1, 1, 2). (Enter your answer as a commaseparated list of equations. … 
math
The parametric equations of a curve are x = 4t and y = 4 − t2. Find the equations of the normals to the curve at the points where the curve meets the xaxis. Hence, find the point of intersection of these normals. 
Calculus
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 5 ln t, y = 8sqrt(t), z = t^5 (0,8,1) (x(t),y(t),z(t))=( ) 
pre calculus
Explain how you sketch a plane curve given by parametric equations?