f(n) = n³, g(n) = 6n + 1 е.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Can I get help on part e?
![Part 3: Big-Oh? K.
Suggested reading: Sections 2.1 and 2.2 of Algorithm Design.
Below are four pairs of functions, labeled f and g. For each, determine constants a and no such
that for all n > no, a· f(n) > g(n). Give a clear argument as to why your choice of no and a satisfy
the conditions.
а. f(n) —
2n + 3, g(n) = 5n
b. f(n) = 2n + 3, g(n) = 5n + log(n)
с. f(n) %3D п1/4, g(n) %3 1og(n)
=
d. f(n) %3D п, д(n) %3 (log2 n)4
е. f(n) — п3, g(n) — 6п + 1
= n
Hint: you may assume that for all x > 0, log(x) < x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd104ea5e-59f4-47a3-a0d3-8c9f1ad3b57c%2F7de63f87-312d-48e4-97c9-f3251dafc0a3%2Fmfkr73c_processed.png&w=3840&q=75)
Transcribed Image Text:Part 3: Big-Oh? K.
Suggested reading: Sections 2.1 and 2.2 of Algorithm Design.
Below are four pairs of functions, labeled f and g. For each, determine constants a and no such
that for all n > no, a· f(n) > g(n). Give a clear argument as to why your choice of no and a satisfy
the conditions.
а. f(n) —
2n + 3, g(n) = 5n
b. f(n) = 2n + 3, g(n) = 5n + log(n)
с. f(n) %3D п1/4, g(n) %3 1og(n)
=
d. f(n) %3D п, д(n) %3 (log2 n)4
е. f(n) — п3, g(n) — 6п + 1
= n
Hint: you may assume that for all x > 0, log(x) < x.
Expert Solution
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