A tear drop can be represented by the parametric equations:

The arc length is:

Find such that . That is, how must I adjust the value of so that the arc length remains constant as I vary the parameter ?

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- Oct 3rd 2008, 02:57 PMshawsendConstant circumference of tear drop
A tear drop can be represented by the parametric equations:

The arc length is:

Find such that . That is, how must I adjust the value of so that the arc length remains constant as I vary the parameter ? - Oct 5th 2008, 12:57 AMCaptainBlack
- Oct 5th 2008, 08:04 AMshawsend
I don't understand then. I thought the arc length is a function of n. When I simplify the radical I get (Mathematica-generated latex):

I'll work on it today. - Oct 5th 2008, 12:35 PMshawsend
. . . wonderful. I get it now: