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Arc Length and Surface Area

Arc Length and Surface Area Example

Find the arc length of the graph of y = (x - 1)2 + 1 over the interval [1,3].

Find the surface area of the surface generated by revolving the curve described above about the y-axis.  DPGraph Picture

 

 Maple Worksheet

 

 

Arc Length

Quicktime Animation showing 4, 6, 8, 12, 18, 24, 30, 36, 48 subintervals

Maple Worksheet
Approximating the arc length using 8 equal length subintervals yields an approximation of about 7.58.

 

 

Surface Area of a Surface of Revolution

Picture of the Surface

 

 

Surface Area of a Surface of Revolution

Picture of the Surface

Maple Computation Worksheet

          

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        Lane Vosbury, Math Chair, Seminole Community College   email:  vosburyl@scc-fl.edu

        This page was last updated on 10/08/08          Copyright 2002          webstats