Let f and g be functions from the set of positive integers to the set of real numbers. We say that f(n) = O(g(n)) if there are constants c and n0 such that f(n) c g(n), for all n n0. Find constants c and n0 for the following functions. (a) f(n) = 2n 3 + 3n, g(n) = n 4 (b) f(n) = 8 + log n, g(n) = n (c) f(n) = 2n , g(n) = (log n) n