Question: a) Suppose the complexity of an algorithm is given by f(n) = 4n 3 + 2n(log (n 2 ))2 3n. Determine the tightest O and

a)a)Suppose the complexity of an algorithm is given by f(n) = 4nSuppose the complexity of an algorithm is given by f(n) = 4n 3 + 2n(log (n 2 ))2 3n. Determine the tightest O and bounds that you can for this algorithm. Can you conclude anything about the order () of this algorithm?

(b) Find the tightest O and bounds that you can for the function h(n) = n log(n 5 ) 3n 2 .

(c) Show that g(n) = log (log n) is O(log n).

These HW problems about complexity of algorithms and it WILL DUE TOMORROW!!! HELP PLZ!!!

4. (a) Suppose the complexity of an algorithm is given by f(n)4+2n(log (n2)2-n. Determine the tightest O and bounds that you can for this algorithm. Can you conclude anything about the order (6) of this algorithm? vou can for the function h(n) = n log(n )-3n (c) Show that g(n) = log (log n) is O(log n)

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