Give the asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for n<= 2. Make your bounds as tight as possible, and justify your answers (Master theorem, expansion, or substitutions). Please show at least a little work. (a) T(n) = 2T(n/2) + n4
(b) T(n) = T(7n/10) + n
(c) T(n) = 16T(n/4) + n2
(d) T(n) = 7T(n/3) + n2
(e) T(n) = 7T(n/2) + n2
(f) T(n) = T(n - 2) + n2