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Calculus III (Practice Problems) / Surface Integrals / Parametric Surfaces   [Notes] [Practice Problems] [Assignment Problems]

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Paul
August 7, 2018


Calculus III - Practice Problems
Line Integrals Previous Chapter  
Surface Integrals (Introduction) Previous Section   Next Section Surface Integrals

 

For problems 1  6 write down a set of parametric equations for the given surface.

 

1. The plane . [Solution]

 

2. The portion of the plane  that lies in the 1st octant. [Solution]

 

3. The cylinder  for [Solution]

 

4. The portion of  that is in front of . [Solution]

 

5. The portion of the sphere of radius 6 with . [Solution]

 

6. The tangent plane to the surface given by the following parametric equation at the point .

 

[Solution]

 

7. Determine the surface area of the portion of  that is inside the cylinder . [Solution]

 

8. Determine the surface area of the portion of  with . [Solution]

 

9. Determine the surface area of the portion of  that is above the region in the xy-plane bounded by ,  and the y-axis. [Solution]

 

10. Determine the surface area of the portion of the surface given by the following parametric equation that lies inside the cylinder .

 

[Solution]

 

Problem Pane
Surface Integrals (Introduction) Previous Section   Next Section Surface Integrals
Line Integrals Previous Chapter  

Calculus III (Practice Problems) / Surface Integrals / Parametric Surfaces    [Notes] [Practice Problems] [Assignment Problems]

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