Solve the recurrences using recursion tree with the base case as $1.$

a$.T(n)=3T(\sqrt[\phantom{2}]{n})+(n^2)$

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

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

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

e$.T(n)=2T(\frac{n}{4})+\sqrt[\phantom{2}]{n}$