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

Calculus III - Assignment Problems

 Triple Integrals

 

1. Evaluate    

 

2. Evaluate    

 

3. Evaluate    

 

4. Evaluate  where E is the region below  in the first octant.

 

5. Evaluate  where E is the region below  in the first octant.

 

6. Evaluate  where E is the region below  and above the region in the xy-plane bounded by ,  and .

 

7. Evaluate  where E is the region below  and above .

 

8. Evaluate  where E is the region behind  front of the triangle in the xz-plane with vertices, in  form : ,  and .  

 

9. Evaluate  where E is the region behind the surface  that is in front of the region in the xz-plane bounded by ,  and .

 

10. Evaluate  where E is the region bounded by  and .  

 

11. Evaluate  where E is the region behind  that is in front of the region in the yz-plane bounded by  and .

 

12. Evaluate  where E is the region between  and  above the triangle in the xy-plane with vertices, in  form : ,  and .

 

13. Evaluate  where E is the region between  and  in front of the triangle in the xz-plane with vertices, in  form : ,  and

 

14. Evaluate  where E is the region between  and  in front of the triangle in the yz-plane with vertices, in  form : ,  and

 

15. Use a triple integral to determine the volume of the region below  and above the region in the xy-plane bounded by ,  and .

 

16. Use a triple integral to determine the volume of the region in the 1st octant that is below .

 

17. Use a triple integral to determine the volume of the region behind  front of the triangle in the xz-plane with vertices, in  form : ,  and .

 

18. Use a triple integral to determine the volume of the region bounded by   and .  

 

19. Use a triple integral to determine the volume of the region behind  that is in front of the region in the yz-plane bounded by  and .

 


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

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