Give asymptotic upper and lower running time bounds for T(n) for each of the recurrences. Assume that T(n) is constant for n <= 2. Make bounds as tight as possible, and justify solutions.
a) T(n) = 2*T(n/2) + n^3
b) T(n) = T(9n/10) + n
c) T(n) = 16*T(n/4)+n^2
d) T(n) = 7*T(n/3) + n^2
e) T(n) = 7*T(n/2) + n^2