Problem $2$: Characterize each of the following recurrence equations using the master method $($assuming that T$($n$)=$ c for n $<$ d$,$ for constants d $1).$ a$.$ T$($n$)=2$T$($n$/2)+($n log n$)^4$ b$.$ T$($n$)=2$T$($n$/2)+$ log$2$ n c$.$ T$($n$)=9$T$($n$/3)+$ n$^2$ d$.$ T$($n$)=9$T$($n$/3)+$ n$^3$ e$.$ T$($n$)=7$T$($n$/2)+$ n$^2$

Problem $2$: Characterize each of the following recurrence equations using the master method $($assuming that T$($n$)=$ c for n $<$ d$,$ for constants d $1).$

a$.$ T$($n$)=2$T$($n$/2)+($n log n$)^4$

b$.$ T$($n$)=2$T$($n$/2)+$ log$2$ n

c$.$ T$($n$)=9$T$($n$/3)+$ n$^2$

d$.$ T$($n$)=9$T$($n$/3)+$ n$^3$

e$.$ T$($n$)=7$T$($n$/2)+$ n$^2$