Given the following NFA $M_A$

$($a$)$ Provide the transition table of $M_4$

$($b$)$ Use the technique given in class to transform $M_4$ into an equivalent DFA $M_5.$ You must provide the transition table of your equivalent DFA $M_5.$

$($c$)$ Draw the computation tree obtained by tracing the computation of the NFA $M_4$ on the string abab

$($d$)$ Trace the computation of your DFA $M_5$ on the string abab

Please solve and explain in detail.