Give asymptotic upper and lower bounds $($as tight as possible$)$ for the following recurrences. You can use

any method you want.

$($a$)$ T $($n$)=7$T $($n$/3)+$ n$2$

$($b$)$ T $($n$)=7$T $($n$/2)+$ n$2$

$($c$)$ T $($n$)=2$T$($n$/4)+$ n$2$

$($d$)$ T$($n$)=$ T $($n $2)+$ n$3$

$($e$)$ T$($n$)=$ T $($n$/2)+$ T $($n$/4)+$ T $($n$/8)+$ n

$($f$)$ T$($n$)=$ T$($n $1)+1$

$$

$($g$)$ T$($n$)=4$T$($n$/3)+$ nlog$2$ n