Question 2 For each of the following pairs of functions, either f(n) is O(g(n)). f(n) is (g(n)), or f(n) is (g(n)). For each pair, determine which relationship is correct. Justify your answer. # f(n) g(n) (a) 4n log n + n² logn (b) 8 log n² (log n)2 (c) logn²+n³ log n +3 (d) n√n+logn log n² (e) 2+10 10n² (8) log² n log n (h) n log2 n (1) √n log n (i) 4n 5" (k) n" 3"
Question 2 For each of the following pairs of functions, either f(n) is O(g(n)). f(n) is (g(n)), or f(n) is (g(n)). For each pair, determine which relationship is correct. Justify your answer. # f(n) g(n) (a) 4n log n + n² logn (b) 8 log n² (log n)2 (c) logn²+n³ log n +3 (d) n√n+logn log n² (e) 2+10 10n² (8) log² n log n (h) n log2 n (1) √n log n (i) 4n 5" (k) n" 3"
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
Related questions
Question
![Question 2
For each of the following pairs of functions, either f(n) is O(g(n)). f(n) is (g(n)), or f(n) is
(g(n)). For each pair, determine which relationship is correct. Justify your answer.
#
f(n)
g(n)
(a)
4n log n + n²
log n
(b)
8 log n²
(log n)2
(c)
log n²+n³
log n+3
(d)
n√n+logn
log n²
(e)
2"+10
10n²
(8)
log² n
log n
(h)
n
logn
(1)
√n
logn
4T
5"
3"
n"
(i)
(k)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93fa0511-601b-4e4a-a7d2-5d875cea9d23%2F569ff96d-6301-4ad8-b29e-b6788ff5b7ff%2Fd1f24m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 2
For each of the following pairs of functions, either f(n) is O(g(n)). f(n) is (g(n)), or f(n) is
(g(n)). For each pair, determine which relationship is correct. Justify your answer.
#
f(n)
g(n)
(a)
4n log n + n²
log n
(b)
8 log n²
(log n)2
(c)
log n²+n³
log n+3
(d)
n√n+logn
log n²
(e)
2"+10
10n²
(8)
log² n
log n
(h)
n
logn
(1)
√n
logn
4T
5"
3"
n"
(i)
(k)
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