A particle moves along a line so that its velocity (in m/s) for is modeled by the…

MATHEMATICS · Multi-part · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

A particle moves along a line so that its velocity

v

(in m/s) for

|t|<1

is modeled by the power series

v(t)=\sum_{n=0}^{\infty}\frac{(-3)^n}{2n+1}t^{2n+1}.

(1) Part (a) (2) Part (b) (3) Part (c) (4) Part (d)