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May 26th, 2017, 08:57 AM  #1 
Newbie Joined: Apr 2017 From: Brazil Posts: 5 Thanks: 0  Line Integral: intersection of sphere and cylinder
Vectorial Field: F(x, y, z) = (y², z², x²) Sphere: x² + y² + z² = a² Cylinder: x² + y² = ax z<=0 ; a>0 How to parametrize the curve?? The exercise says it's clockwise when seen by the xy plan 
May 26th, 2017, 01:58 PM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
I would start by using the standard parameterization for a sphere pf radius a (spherical coordinates): Then and so that . And, from that, . Putting those together Last edited by Country Boy; May 26th, 2017 at 02:42 PM. 
May 27th, 2017, 01:27 PM  #3 
Newbie Joined: Apr 2017 From: Brazil Posts: 5 Thanks: 0  

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