Solve the following recurrences using the recursion tree technique. Present your argument, not just the final answer, clearly.

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

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

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

d$)T(n)=T(\frac{n}{2})+T(\frac{n}{3})+T(\frac{n}{6})+n$