Section $9\mathrm{.}1$ Construct a Turing machine for each of the following languages on alphabet $\{a,b\}$

$($PRACTICE QUESTIONS$)$

$L=L(aaa{a}^{**}{b}^{**})$

$****L=\{a^n{b}^m{a}^{n+m}$:$n0,m1\}$

$($GRADED $2$ points$)$ COMPLIMENT of $L=L(aaa{a}^{**}{b}^{**})$

$($GRADED $3$ points$)L=\{a^n{b}^{2n}$:$n1\}$

$($GRADED $3$ points$)$ is a multiple of $4$