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Arc Length and Surface Area

 

If it is not already on your hard drive, you will need to download the free DPGraph Viewer to view some of the pictures linked to on this web site.   QuickTime free download.

 

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, Mathematics, Seminole State College   email:  vosburyl@seminolestate.edu

        This page was last updated on 08/21/14          Copyright 2002          webstats