30 points] Design a DFA (by drawing its state diagram) for each of the following languages over the alphabet {a,b} 2a. [6 points] fw : w does not contain a b followed by an a) 2b. [6 points w: w has a's in positions 2,6,10,14,.. and b's in positions 4,8,12,16,.. 2c. 6 points lw: w has at least two a's or alternates like ababab 2d. [6 points] e, bb, bab)