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December 9th, 2007, 02:51 PM   #1
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Cycloid power series. problem from hell.

Find the first non-zero terms, the general term for the cycloid power series, and the interval of convergence for the cycloid power series.

This problem is hard as anything. can you handle it??
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December 9th, 2007, 03:06 PM   #2
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I know that the basics for taylor polynomials. for a cycloid,
I know that f(a)+ f'(a)(x-a)+ f''(a)(x-a)^2... will give me the right
answer but I don't know how to do this in parametric mode or what
really do other than what i've listed below. Thanks!

y=-a+acos(theta)
x=a(theta)-asin(theta)

so, dy/dx=-sin(theta)/1-cos(theta)

I also know that d(dy/dx)/dx=d^2y/dx^2
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December 12th, 2007, 05:43 AM   #3
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What was the original wording of the problem, and where did you get this problem from?
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