Question: PLEASE ONLY SOLVE C. 2. Prove whether each of the following statements are true or not. For those that you believe are false, prove this

PLEASE ONLY SOLVE C. 2. Prove whether each of the following

PLEASE ONLY SOLVE C.

2. Prove whether each of the following statements are true or not. For those that you believe are false, prove this by giving a counterexample (i.e. particular functions for f(n) and g(n) for which the given statement is not true). For those that you believe are true, use the formal definitions of big-oh, big-Omega, and big-Theta to prove it. In all problems, you are given that for all n, f(n and n) 0. 15 (a) Time complexity of Tn)-T(3n/4)+ TIn/4) +n can be written as Omega(nlogn) (b) f(n)-g(n) = O(max(f(n),g(n))) (c) If f(n)-Omega(g(n)) then g(n) = 0(f(n))

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