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

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

 

1. Use the Divergence Theorem to evaluate  where  and S is the surface of the sphere of radius 4 with  and .  Note that all three surfaces of this solid are included in S. [Solution]

 

2. 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. [Solution]

 

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. [Solution]

 

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

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