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

Calculus III - Assignment Problems
Line Integrals Previous Chapter  
Stokes' Theorem Previous Section  

 Divergence Theorem

 

1. Use the Divergence Theorem to evaluate  where  and S is the surface of the box with ,  and .  Note that all six sides of the box are included in S.

 

2. Use the Divergence Theorem to evaluate  where  and S is the surface of the sphere of radius 2 with ,  and .  Note that all four surfaces of this solid are included in S.

 

3. Use the Divergence Theorem to evaluate  where  and S is the surface of the solid bounded by  and the plane .  Note that both of the surfaces of this solid included in S.

 

4. Use the Divergence Theorem to evaluate  where  and S is the surface of the solid bounded by the cylinder  and the planes   and  .  Note that both of the surfaces of this solid included in S.

 

Stokes' Theorem Previous Section  
Line Integrals Previous Chapter  

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

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