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Q 1. True/False Tell whether each of the following statements is true or false. Please explain. (a) n2 + 3n + n log, n = O(n²) (b) 7n+ log, n = O(n²) (c) log, n+ 3n = O(log,n)

Q 1. True/False Tell whether each of the following statements is true or false. Please explain. (a) n2 + 3n + n log, n = O(n²) (b) 7n+ log, n = O(n²) (c) log, n+ 3n = O(log,n)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q 1. True/False Tell whether each of the following statements is true or false. Please explain. (а) п? + Зп + пlog, n 3D O(n?) (b) 7n+ log, n = O(n²) (c) log, n+ 3n = O(log, n) (d) 3n³ + 12n = O(700) (e) 25 = O(1) (f) =0(n²) (g) 4nlog, n= Q(3n²) (h) 30nlog, n=0(log4n) %3D () if f(m) — О(g(n)) then f(n) — Ө(g(n)) (1) if f (n) = 0(g(n)) then g(n) = Q(f(n)) (k) if f (n) = 0(g(n)) then g(n) = Q(f(n))
Transcribed Image Text:Q 1. True/False Tell whether each of the following statements is true or false. Please explain. (а) п? + Зп + пlog, n 3D O(n?) (b) 7n+ log, n = O(n²) (c) log, n+ 3n = O(log, n) (d) 3n³ + 12n = O(700) (e) 25 = O(1) (f) =0(n²) (g) 4nlog, n= Q(3n²) (h) 30nlog, n=0(log4n) %3D () if f(m) — О(g(n)) then f(n) — Ө(g(n)) (1) if f (n) = 0(g(n)) then g(n) = Q(f(n)) (k) if f (n) = 0(g(n)) then g(n) = Q(f(n))
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