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Calculus III (Assignment Problems) / Surface Integrals / Stokes' Theorem   [Notes] [Practice Problems] [Assignment Problems]

Calculus III - Assignment Problems
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 Stokes’ Theorem

 

1. Use Stokes’ Theorem to evaluate  where  and S is the portion of  below  with orientation in the negative z-axis direction. 

 

2. Use Stokes’ Theorem to evaluate  where  and S is the portion of   in front of  with orientation in the positive y-axis direction.  

 

3. Use Stokes’ Theorem to evaluate  where  and C is the triangle with vertices ,  and C has a clockwise rotation if you are above the triangle and looking down towards the xy-plane.  See the figure below for a sketch of the curve.

 

4. Use Stokes’ Theorem to evaluate  where  and C is is the circle of radius 1 at  and perpendicular to the x-axis.  C has a counter clockwise rotation if you are looking down the x-axis from the positive x-axis to the negative x-axis.  See the figure below for a sketch of the curve.

 

Surface Integrals of Vector Fields Previous Section   Next Section Divergence Theorem
Line Integrals Previous Chapter  

Calculus III (Assignment Problems) / Surface Integrals / Stokes' Theorem    [Notes] [Practice Problems] [Assignment Problems]

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