The Taylor polynomial of degree N of a function f(t) about r= a is defined as Pr(t) = f(a) + f'(a)(t-a) + f (a) (-a) + ... + f(a) (-a)" 21 n! 1. Compute the 4th order polynomial P.(t) for the function f(t) = sin(t) about the point = 2. Make a plot that contains: (a) a graph of f(t) = sin(t), for -x/2 SIS/2, (b) a graph of the Taylor polynomial po(t) about r= x/4, (c) a graph of the Taylor polynomial p(t) about 1= x/4. (d) a graph of the Taylor polynomial p(t) about t = n/4. (e) a graph of the Taylor polynomial p,(t) about t = n/4, (f) a graph of the Taylor polynomial pa(t) about = n/4.