- #1
mathwiz1234
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Homework Statement
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)
Homework 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!
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