Question: Give a parametrization for the epicycle formed by rolling a circle of radius 2 around a circle of radius 12.4. Derive the first 4 terms

Give a parametrization for the epicycle formed by rolling a circle of radius 2 around a circle of radius 12.4. Derive the first 4 terms of the power series expansion of112+xin the following way:(a) Give the power series expansion for 11+x.(b) Let 112+xa+bx+cx2+dx3. Expand square both sides and (a+bx+cx2+dx3)2(you onlyneed to get the terms out tox3).(c) Equate the first 4 coefficients (of1,x,x2,x3) and solve for a, then b, then c, then d.

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