a) Prove that n 3 ? 91n 2 ? 7n ? 14 = ?(n 3 ). Your answer mustclearly specify the constants c and n0.
b) Let g(n) = 27n 2 + 18n and let f(n) = 0.5n 2 ? 100. Findpositive constants n0, c1 and c2 such that c1f(n) ? g(n) ? c2f(n)for all n ? n0. Be sure to explain how you arrived at theconstants.
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