Question 1 (20 points) Assume S={a,b}. L1: All words of a 's and b 's that end with an a. L2: All words of a 's and b 's that end with a double letter such as aa or bb. Build a RE and an FA for (L1 INTERSECTION L2) using Kleene's theorem. Follow all the steps explained in the lectures and show them by drawing the tables and FAs. Clearly indicate the start and final states in the resulting FA. Question 1 (20 points) Assume S={a,b}. L1: All words of a 's and b 's that end with an a. L2: All words of a 's and b 's that end with a double letter such as aa or bb. Build a RE and an FA for (L1 INTERSECTION L2) using Kleene's theorem. Follow all the steps explained in the lectures and show them by drawing the tables and FAs. Clearly indicate the start and final states in the resulting FA