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

Calculus III - Assignment Problems
Applications of Partial Derivatives Previous Chapter   Next Chapter Line Integrals
Change of Variables Previous Section   Next Section Area and Volume Revisited

 Surface Area

 

1. Determine the surface area of the portion of  that is in the 1st octant.

 

2. Determine the surface area of the portion of  that is inside the cylinder  .  

 

3. Determine the surface area of the portion of  that is below the xy-plane with .

 

4. Determine the surface area of the portion of  that is above the triangle in the xy-plane with vertices ,  and .

 

5. Determine the surface area of the portion of  that is in front of the region in the xz-plane bounded by ,  and the x-axis.

 

6. Determine the surface area of the portion of  that is in front of  with .

 

7. Determine the surface area of the portion of  that is in front of the triangle in the xz-plane with vertices ,  and .

 

8. Determine the surface area of the portion of  that is inside the cylinder .  

 

9. Determine the surface area of the portion of the sphere of radius 4 that is inside the cylinder  .

 

Change of Variables Previous Section   Next Section Area and Volume Revisited
Applications of Partial Derivatives Previous Chapter   Next Chapter Line Integrals

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

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