need answer of only B & C part. asap in 25-30 minutes

3. Consider the dynamical system (C, f), where f(x) = 213. (a) Show that if zo C has modulus (20) = 1, then each element zk of its orbit has modulus (2*1 = 1, k = 1,2,.... (b) Determine for each of the following complex numbers on the unit circle whether or not they are periodic, and if so determine their prime period. (1) 20 = 2i/4 (ii) 20 = 2ni/6 (ii) 20 = (21/5 (iv) 20 = e20i/14 (c) Show that the orbit of zo = (2+1/299 is eventually periodic