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Paul
August 7, 2018

Calculus III - Assignment Problems
 Line Integrals Previous Chapter Parametric Surfaces Previous Section Next Section Surface Integrals of Vector Fields

## 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

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