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Paul
August 7, 2018

Calculus III - Assignment Problems
 Applications of Partial Derivatives Previous Chapter Next Chapter Line Integrals Double Integrals in Polar Coordinates Previous Section Next Section Triple Integrals in Cylindrical Coordinates

## 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 .

 Double Integrals in Polar Coordinates Previous Section Next Section Triple Integrals in Cylindrical Coordinates Applications of Partial Derivatives Previous Chapter Next Chapter Line Integrals

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