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Examples on Area and Arc Length

Example 1--Arc Length

 

Find the arc length of the given curve over the given interval.  This would be one fundamental period of the basic sine function.

 

 

Excel Picture of the 16 Approximating Line Segments

Quicktime Animation showing 4, 6, 8, 12, 18, 24, 30, 36, 48 approximating line segments

Maple Worksheet

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

 

 

Example 2--Surface Area

Find the area of the surface formed by revolving the graph of the curve given parametrically below about the x-axis.  Maple Worksheet   DPGraphPic

 

 

Example 3--Surface Area

Find the area of the surface formed by revolving the graph of the curve given parametrically below about the y-axis.   Maple Worksheet  DPGraphPic

DPGraph of Both Branches

Use the scrollbar to vary a, b, or c and change the shape.

 

 

 

 

 

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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