Rank the following functions by the order of growth rate (that is, list them in a list, f_1(n), f_2(n), f_3(n),... such that f_1(n) = 0(f_2(n)), f_2(n) = 0 (f_3(n)), ..). Partition your list into equivalent classes such that f(n) and g(n) are in same growth class or f(n) = theta(g(n). You have to prove your answer: n^1/2, n^2, log^2(n^2), nlog^2(n), log(log(n))