Problem 2 (40 points): (a) [25 points] Take the following functions and arrange them in ascending order of growth rates That is, if function g(n) immediately follows function f (n) in your list, then it should be the case that f(n) = 0(g(n)). Justify your answer. 7l g2(n) = 2n 14(n) = n(log n)3 gs(n) = nlog n ge( n ) 22n gr(n) = 2n2