Question 1. (20 points: 1+4 points each) Consider the language L below: L-(w {a, b)' : tv contains at most one b} Are the following equalities true or false? Explain your answer. (b) L = (a"ba*)U (a*) (c) L-a(b )a Question 2. (20 points, 7+3 each) Give a regular expression for the following sets. Explain the expression by writing what each part does. (a) L-(w I w E {a, b)" and w begins and ends with aa or bb} (b) L-(w trE {a, b)" and the niimber of a's in w is divisible by three }