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3. Answer the following questions by a proof or dis-proof 4.1 What is the big-O estimate for f(n) = 8n² log10 (n7) + 5n³ +4n² √n log₂ n +7n³√n? What is the big- estimate for f(n) = 5n³ + 2n³√n logs (nª) + 4n² √n log2 (2n) + 6n²? 4.2 4.3. Is f(n) = 3n² √n + 7n√n log(5n7) + 4n²-2n + 1 in (n³)? Is f(n) in O(n³)? Is f(n) in (n²)?

3. Answer the following questions by a proof or dis-proof 4.1 What is the big-O estimate for f(n) = 8n² log10 (n7) + 5n³ +4n² √n log₂ n +7n³√n? What is the big- estimate for f(n) = 5n³ + 2n³√n logs (nª) + 4n² √n log2 (2n) + 6n²? 4.2 4.3. Is f(n) = 3n² √n + 7n√n log(5n7) + 4n²-2n + 1 in (n³)? Is f(n) in O(n³)? Is f(n) in (n²)?

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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3. Answer the following questions by a proof or dis-proof 4.1 4.2 4.3. What is the big-O estimate for f(n) = 8n² log10 (n7) + 5n³ + 4n²√n log₂ n +7n³√n? What is the big- estimate for f(n) = 5n³ + 2n³√n logs (n4) + 4n²√n log2 (2n) + 6n² ? Is f(n) = 3n² √n +7n√n log(5n7) + 4n² - 2n + 1 in (n³)? Is f(n) in 0(n³)? Is f(n) in (n²)?
Transcribed Image Text:3. Answer the following questions by a proof or dis-proof 4.1 4.2 4.3. What is the big-O estimate for f(n) = 8n² log10 (n7) + 5n³ + 4n²√n log₂ n +7n³√n? What is the big- estimate for f(n) = 5n³ + 2n³√n logs (n4) + 4n²√n log2 (2n) + 6n² ? Is f(n) = 3n² √n +7n√n log(5n7) + 4n² - 2n + 1 in (n³)? Is f(n) in 0(n³)? Is f(n) in (n²)?
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