7. Give a big-O estimate for each of the following functions: (a) Homework. 2n +log¹ (4n¹0+6) (b) f(n) = (2n² + 7) lg n + 2n (n³ + 4) (c) f(n) = (n²+5.2n) lg (n7.2") + 2n+2 (d) f(n) = (n +24n) (n3n+lgn+n²) (e) f(n) = (n² lgn)² + n(lgn+n²)

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 18SA
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7. Give a big-O estimate for each of the following functions:
(a) Homework. 2n +logª (4n¹⁰ + 6)
10
(b) f(n) = (2n² + 7) lg n + 2n (n³ + 4)
(c) f(n) = (n² +5. 2n) lg(n7. 2n) + 2n+2
(d) f(n) = (n + 2ªn)(n3n +lgn+n²)
(e) f(n) = (n² lgn)² + n(lg n+n²)
(f) f(n) = 5n³ + (2⁄2 +n³) (4n + ³ n²)
Remark: You may apply the Polynomial Theorem on polynomials.
Transcribed Image Text:7. Give a big-O estimate for each of the following functions: (a) Homework. 2n +logª (4n¹⁰ + 6) 10 (b) f(n) = (2n² + 7) lg n + 2n (n³ + 4) (c) f(n) = (n² +5. 2n) lg(n7. 2n) + 2n+2 (d) f(n) = (n + 2ªn)(n3n +lgn+n²) (e) f(n) = (n² lgn)² + n(lg n+n²) (f) f(n) = 5n³ + (2⁄2 +n³) (4n + ³ n²) Remark: You may apply the Polynomial Theorem on polynomials.
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