Use the master method to give tight asymptotic bounds for the following reccurences. Mention which case (1, 2, or 3) of the theorem you are applying. (a) T(n) = 2T(n/4) + 1 (b) T(n) = 2T(n/4) + √n (c) T(n) = 2T(n/4) + n (d) T(n) = 2T(n/4) + n2

Use the master method to give tight asymptotic bounds for the following reccurences. Mention which case (1, 2, or 3) of the theorem you are applying. (a) T(n) = 2T(n/4) + 1 (b) T(n) = 2T(n/4) + √n (c) T(n) = 2T(n/4) + n (d) T(n) = 2T(n/4) + n2

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter23: Simulation With The Excel Add-in @risk

Section: Chapter Questions

Problem 9RP

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Question

Use the master method to give tight asymptotic bounds for the following reccurences. Mention
which case (1, 2, or 3) of the theorem you are applying.
(a) T(n) = 2T(n/4) + 1
(b) T(n) = 2T(n/4) + √n
(c) T(n) = 2T(n/4) + n
(d) T(n) = 2T(n/4) + n2

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