Consider the following DFA M = (Q, 2,8,90, F) with = {a,b,c,d}, Q = {90,91,92}, F = {qo}, and Sqo, a) = q1, 8(qo, d) = 70, 8(qi,b) = q2, 8(q2, c) = 40. (a) Draw a transition diagram for M. (b) Provide a language description for the language accepted by M. (c) Prove that L(M) is equal to the language you obtained in part b