Course Solutions Uncategorized (Solved) : 1 30 Pts Consider Following Functions F6 N 3n 1 5n4 Ja N 216 N 9n2 6n 121 2 4 5n Lg N L Q35138550 . . . .

(Solved) : 1 30 Pts Consider Following Functions F6 N 3n 1 5n4 Ja N 216 N 9n2 6n 121 2 4 5n Lg N L Q35138550 . . . .

 

1. (30 pts) Consider the following functions . f6(n) = 3n+1 + 5n4 Ja(n) 216 ·In(n) = ((9n2)(6n)(121))I/2 . An) = (4 + 5n + lg

1. (30 pts) Consider the following functions . f6(n) = 3n+1 + 5n4 Ja(n) 216 ·In(n) = ((9n2)(6n)(121))I/2 . An) = (4 + 5n + lg(n))l/2 g (n) +n lg(n) +500n For these functions, do the following (a) Prove the asymptotic complexity of each of the functions, in sim plest terms. That is, for each function f, find the “simplest” function g such that f(n)-Θ(g(n)) (b) Order the functions by asymptotic dominance.

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