Solve the following recurrence relations. You do not need to give a () bound for (a), (b), (c); it suffices to give the O() bound that results from applying the Master theorem. You may assume that T(n) = O(1) for n = O(1). (a) T(n) = 2T(n/3) +1. (b) T(n) = 7T(n/7) + n. (c) T(n) = 9T(n/3) + n². (d) T(n) = T(n − 1) +2.

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A: Master Theorem can be applied to all recurrence relation which are in the form,  T(n) =aT(n/b) +cnk

Q: f. T(n) = 2T (n/4) + √n.

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Q: Express the solution in big-O terms for the following recurrence relation: T(n) = 9*T(n/3) + n^3;…

A: After that, let's start working through the recurrence relation step by step:

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A: The solution to the given problem is below.

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A: The solution is an given below :

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Q: Solve the following recurence relation using any of the method of your choice T(n) = √3T(n/√3) +c *…

A: T(n) = √3T(n/√3) +c * n/√2 T(1) = 1

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Q: For the following reacurrence you must your case 3 of masters therom for T(n) = T(n − 1) + Θ(n). we…

A: As this recurrence relation does not follow the pattern of master's theorem so we cam not solve this…