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

Calculus III - Assignment Problems
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 Surface Integrals

 

1. Evaluate  where S is the portion of  that is in the 1st octant. 

 

2. Evaluate  where S is the portion of  that lies in front of .

 

3. Evaluate  where S is the portion of  that lies over the region in the xz-plane with bounded by ,  and the x-axis.  

 

4. Evaluate  where S is the portion of  between  and

 

5. Evaluate  where S is the portion of  with .

 

6. Evaluate  where S is the portion of  between  and .  

 

7. Evaluate  where S is the surface of the solid bounded by  and .  Note that both surfaces of this solid are included in S.

 

8. Evaluate  where S is the surface of the solid bounded by , , and .  Note that all three surfaces of this solid are included in S.

 

9. Evaluate  where S is the portion of the sphere of radius 1 with  and .  Note that all three surfaces of this solid are included in S.

 

Parametric Surfaces Previous Section   Next Section Surface Integrals of Vector Fields
Line Integrals Previous Chapter  

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

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