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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

## Parametric Surfaces

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

[Notes]

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