Find the asymptotic run$-$time corresponding to each of the following recurrence relations

using the Master Theorem. For each, explain which case of the Master Theorem applies and

why.

$($a$)T(n)=2T(\frac{n}{5})+\sqrt[\phantom{2}]{2n}.$

$($b$)T(n)=3T(\frac{n}{3})+\frac{n}{2}.$

$($c$)T(n)=4T(\frac{n}{2})+nlogn.$