Consider the following reaction sequence:

$S+E{}_{k_2}^{k_1}(ES{)}_1{}_{k_4}^{k_3}(ES{)}_2{k}_{5}P+E$

Develop a suitable rate expression for production formation $v=k_5(ES{)}_2$ by using $($a$)$ the

equilibrium approach, and $($b$)$ the quasi$-$steady$-$state approach.