Solve the following recurrence relations to obtain a closed$-$form big$-$O expression for T$($n$).$ In each question, assume T$($c$)$ is bounded by a constant for any small constant c$.$

$($i$)$ T$($n$)<=9$T$($n$/3)+$n$^2$

$($ii$)$ T$($n$)<=4$T$($n$/4)+$nlogn $($iii$)$ T$($n$)<=$n$$T$($n$)+$n