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Calculus II - Practice Problems
 Applications of Integrals Previous Chapter Next Chapter Series & Sequences Arc Length with Parametric Equations Previous Section Next Section Polar Coordinates

## Surface Area with Parametric Equations

For all the problems in this section you should only use the given parametric equations to determine the answer.

For problems1  3 determine the surface area of the object obtained by rotating the parametric curve about the given axis.  For these problems you may assume that the curve traces out exactly once for the given range of t’s.

1. Rotate   about the y-axis. [Solution]

2. Rotate   about the x-axis. [Solution]

3. Rotate   about the y-axis. [Solution]

For problems 4 and 5 set up, but do not evaluate, an integral that gives the surface area of the object obtained by rotating the parametric curve about the given axis.  For these problems you may assume that the curve traces out exactly once for the given range of t’s.

4. Rotate   about the x-axis. [Solution]

5. Rotate   about the y-axis. [Solution]

Problem Pane
 Arc Length with Parametric Equations Previous Section Next Section Polar Coordinates Applications of Integrals Previous Chapter Next Chapter Series & Sequences

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