Give asymptotic upper and lower bounds for T (n) in each of the following recurrences. Assume that

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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.

a. T (n) = 2T (n/2) + n⁴.

b. T (n) = T (7n/10) + n.

c. T (n) = 16T (n/4) + n².

d. T (n) = 7T (n/3) + n².

e. T (n) = 7T (n/2) + n².

f. T (n) = 2T (n/4) + √n.

g. T (n) = T(n - 2) + n².

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

Question Posted: Dec 22, 2018 11:27 AM

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Give asymptotic upper and lower bounds for T (n) in each of the following recurrences. Assume that

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In parts a b and d below we are applying case 3 of the master theorem which requires the regularity condition that a f nb c f n for some constant c 1 ...View the full answer

Introduction to Algorithms

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