(40 point) By using the DFAs you have constructed in the first question, design the DFA's Dx and D. such that L(Dx)-* - A2 and L(Dy)- A2 A A;3 Your answer should provide, for each DFA, a finite state diagram where all the states, the starting state, all of the accepting states and all the transitions (with the corresponding labels) are displayed/drawn clearly. Show intermediate step(s) when applicable. 3. y (a) Ai - . (b) A2 - [w the length of w is 3r + 1 for some r 2 0.). (c) A3 {w laba is a substring of w wW has an even number of a's )