Question: 5. Show directly that f(n) = n2 + 3n (n). That is, use the definitions of O and to show that f(n) is in both

5. Show directly that f(n) = n2 + 3n (n). That is, use the definitions of O and to show that f(n) is in both O(n) and (n). 6. The function f(x) = (log n)2 + 2n + 4n+log n+ 50 belongs in which of the following complexity categories? (a) (Ign) (b) f(logn)) (c) 0(n) (d) O(nlgn) (e) 0(n(Ign)) (f) None of these

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