Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for n ≤ 2. Make your bounds as tight as possible, and justify your answers. T(n)=9 T(n/5)+n^2=θ(n^2) T(n)=T(√n)+4

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Q: T (1) = T+ Jn) +n 2.

A: As per Bartleby guidelines for multiple questions asked I am allowed to answer only first question.

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Q: Give tight asymptotic upper bounds for T(n) in each of the following recurrences. Assume that T(n)…

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.