Question $1.$ Solve the following recurrences using $($a$)$ repeated substitution method; and $($b$)$ master theorem if applicable and if not say why.

$1*T(1)=1,T(n)=2T(\frac{n}{2})+n^{2}logn$

$2*T(1)=C,T(n)=T(n-1)+logn$

$3*T(1)=C,T(n)=2T(\frac{n}{2})+3n^2$

$4*T(n)=3T(\frac{n}{2})+n$