Consider the following regular expression.

$R_1=a^{*}a(ab{b}^{*})$

a$)$ In your own words, describe $L(R_1).$

b$)$ Following step by step the proof from class that shows that for every $R,$ there exists an NFA $M$ with $L(R)=L(M),$ give a state

diagram for NFA $M_1$ with $L(M_1)=L(R_1).$