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Paul
August 7, 2018

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

## Triple Integrals in Spherical Coordinates

1. Evaluate  where E is the sphere .

2. Evaluate  where E is the region between the spheres  and  with .

3. Evaluate  where E is the region below  and inside  that is in the 1st octant.

4. Evaluate  where E is the region between the spheres  and  and inside .

5. Evaluate  where E is the portion of  with .

6. Evaluate  where E is the region between the spheres  and  with  and  .

7. Evaluate the following integral by first converting to an integral in cylindrical coordinates.

8. Evaluate the following integral by first converting to an integral in cylindrical coordinates.

9. Use a triple integral in spherical coordinates to derive the volume of a sphere with radius a.

 Triple Integrals in Cylindrical Coordinates Previous Section Next Section Change of Variables Applications of Partial Derivatives Previous Chapter Next Chapter Line Integrals

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