$(4$ pts$.$ each$)$ For each of the following recurrences use the Master theorem to find tight asymptotic bounds for $T$ if possible. Otherwise explain why the Master theorem does not apply $($in case $3$ of the theorem assume that the regularity condition is satisfied$).$

$($a$)T(n)=3T(\frac{n}{2})+n^2,$

$($e$)T(n)=16T(\frac{n}{4})+nlgn,$

$($b$)T(n)=4T(\frac{n}{2})+n^2,$

$($f$)T(n)=2T(\frac{n}{2lgn})+n,$

$($c$)T(n)=5T(\frac{n}{2})+n^2,$

$($g$)T(n)=16T(\frac{n}{2})+n^3,$

$($d$)T(n)=T(\frac{n}{2})+(1),$

$($h$)T(n)=(\frac{lgn}{2})T(\frac{n}{4})+n.$