Question: Question is about Algorithm Analysis. Please provide any useful links to understand this material. Also, please answer both parts clearly with proper explanations. Thank you.
Question is about Algorithm Analysis. Please provide any useful links to understand this material. Also, please answer both parts clearly with proper explanations. Thank you.

1. (a) Find the best possible relationship using one of the notations: O, , , o, w, for the following pairs of functions: n3 + 7n1.5-3 and nlog8 - 10n.5 + 7; nlgn and n11; 5" and (5.1)"; 4" and n!. Justify each answer (b) Function f(n) = n3 + 5000n-60000 when n 50 and f(n) = nlog n+ 100n for n 50. Write f(n) in asymptotic notation in the simplest possible form
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