Stokes Theorem

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Homework Statement


Use stoke's theorem to calculate integral of F dot dr over C where F(x,y,z) = (-Z^2,y^2,x^2) and C is the curve of intersection of the place -y+z=0 and the parabloid z=x^2+y^2


Homework Equations





The Attempt at a Solution


found the curl of -2x-2xj, but coudlnt figure out how to calculate the integral
 

Answers and Replies

  • #2
Pythagorean
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can you set up the integral for us and tell us exactly what your problem is?
 
  • #3
HallsofIvy
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Homework Statement


Use stoke's theorem to calculate integral of F dot dr over C where F(x,y,z) = (-Z^2,y^2,x^2) and C is the curve of intersection of the place -y+z=0 and the parabloid z=x^2+y^2


Homework Equations





The Attempt at a Solution


found the curl of -2x-2xj, but coudlnt figure out how to calculate the integral

'-2x-2xj' makes no sense. And if you intended '(-2x-2x)j', that is 0.

Since the curve is given as the intersection of the two surfaces, you can use Stoke's theorem on either surface. I imagine the plane would be easier.
 

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