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A. Prove the following: 1. n(n – 1) = 0(n²) 2. 10 log, n+ 4 = ®(log, n) 3. 3n + 5 = 0(n²) 4. 100n = 0(n) 5. n? + 10n + 1 = N(n²) 6. 100n? + n + 10 = N(n²)

A. Prove the following: 1. n(n – 1) = 0(n²) 2. 10 log, n+ 4 = ®(log, n) 3. 3n + 5 = 0(n²) 4. 100n = 0(n) 5. n? + 10n + 1 = N(n²) 6. 100n? + n + 10 = N(n²)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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DASTRAL EXERCISE 3 ALGORITHMIC ANALYSIS

ALGORITHM ANALYSIS General Instructions: PROBLEM SOLVING: ASYMPTOTIC NOTATIONS. A. Prove the following: 1. n(n – 1) = 0(n²) 2. 10 log, n+ 4 = 0(log, n) 3. 3n + 5 = 0(n²) 4. 100n = O(n) 5. n? + 10n + 1 = 0(n?) 6. 100n? +n + 10 = N(n?)
Transcribed Image Text:ALGORITHM ANALYSIS General Instructions: PROBLEM SOLVING: ASYMPTOTIC NOTATIONS. A. Prove the following: 1. n(n – 1) = 0(n²) 2. 10 log, n+ 4 = 0(log, n) 3. 3n + 5 = 0(n²) 4. 100n = O(n) 5. n? + 10n + 1 = 0(n?) 6. 100n? +n + 10 = N(n?)
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