For each part, find the asymptotic order of growth of T; that is, find a function g such that T(n) = (g(n)). You may use the master theorem when applicable.

(a) T(n) = 3T( n/2 ) + 32n

(b) T(n) = T(n 1) + n^2

(c) T(n) = 2T( n) + log(n). (Hint: use change of variable. Define m = log(n), and S(m) = T(2^m))