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

Calculus III - Practice Problems

 

1. Evaluate   [Solution]

 

2. Evaluate   [Solution]

 

3. Evaluate  where E is the region below  in the first octant. [Solution]

 

4. Evaluate  where E is the region below  and above the region in the xy-plane defined by , . [Solution]

 

5. Evaluate  where E is the region behind  and in front of the region in the xz-plane bounded by ,  and . [Solution]

 

6. Evaluate  where E is the region bounded by  and the plane . [Solution]

 

7. Evaluate  where E is the region between  and  that is in front of the region in the yz-plane bounded by  and . [Solution]

 

8. Use a triple integral to determine the volume of the region below  and above the region in the xy-plane defined by , . [Solution]

 

9. Use a triple integral to determine the volume of the region that is below   above  and inside . [Solution]

 

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

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