Consider the following DFA, $M.$

$($a$)$ What is $L(M)?$

$($b$)$ What is the pumping length, $p,$ for this language?

$($c$)$ Find a string $sinL(M)$ such that $|s|p.$ What is the computa$-$

tion path for $s$ in $M?$

$($d$)$ Find $x,y,$ and $z$ for the string $s$ you found above, where $x,y,$ and

$z$ satisfy the conditions of the pumping lemma. Use the method

discussed in the video.

$($e$)$ Using the pumping lemma, find another string in $L(M)$ based on

your values of $x,y,$ and $z.$