Question: 4) Using the Master Theorem, bound the runtime T(n) of the following recurrences. You muststate which case of the Master Theorem holds, and prove that

4) Using the Master Theorem, bound the runtime T(n) of the following recurrences. You muststate which case of the Master Theorem holds, and prove that it does apply.(a)T(n) = 3T(n/2) +n2.(b)T(n) = 2T(n/2) +nlog2(n).

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