Problem $1$

Let constants. Solve the following recurrences using Master Method, noting

the case that applies.

$(a)T(n)=bT(\frac{n}{a})+(n).$

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

$(c)T(n)=T(n)+n^{}.$

$(d)T(n)=aT(\frac{n}{a})+(n^{}(logn{)}^b).$