(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

cycloid:

y=-a+acos(theta)

x=a(theta)-asin(theta)

2. Relevant equations

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!

3. The attempt at a solution

I know that the basics for taylor polynomials. for a cycloid,

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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# Homework Help: Cycloid power series

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