Only question a,e,f,j and k please provide explanations

Exercise 44. Solve the following recurrences. Giue the answer in terms of Big-Theta notation. Solve up to constant factors, Le, your answer must give the correct function for T(n), up to constant factors. You can assume constant base cases, Le, Ta)- T(O -c, where c is a positive constant. You can ignore floors and ceilings. You can use the DC recurrence theorem if it applies. a) T(n) 3T(n/2) + n b) T(n) = 4T(n/2) + n log n c) T(n) = VT(G) + n d) T(n) = T(n/2) + T(n/3) + 1. e)T(n) = 2T(n-1)+2. f) T(n) = 4T(n/2) + . g) T (n) = T(n-1) + 2". h) T(n) -2T(n/2) +n/log n k) T(n)=T(Tn/S)+n Exercise 4.5. You are given an army consisting of, mumbers A populan