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

Calculus III - Practice Problems
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1. Evaluate  where S is the portion of  that lies over the triangle in the xy-plane with vertices ,  and [Solution]

 

2. Evaluate  where S is the portion of  that lies behind . [Solution]

 

3. Evaluate  where S is the portion of  between  and [Solution]

 

4. Evaluate  where S is the portion of the sphere of radius 3 with ,  and . [Solution]

 

5. Evaluate  where S is the surface of the solid bounded by , ,  and .  Note that all four surfaces of this solid are included in S. [Solution]

 

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

 

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Parametric Surfaces Previous Section   Next Section Surface Integrals of Vector Fields
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Calculus III (Practice Problems) / Surface Integrals / Surface Integrals    [Notes] [Practice Problems] [Assignment Problems]

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