75 + 0.001n'.3 + 0.025n + (1000)4 500n + 100n + 50n log10 n (10n1.5)4 + 0.3n + 5n6.5 + 2.5 · n2.75 150n³ + n² log2 n+ n(log2 n)ª 3 log10 n+ log2 log2 n 100n4 + 0.01n² + 200(log2 n)ª 1. 2. 3. 4. 5. 6.

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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Question

Arrange the Big-Oh complexities specified in Question 3 according to the order of their growth.

S. No.
Dominant term(s)
О (...)
Expression
75 + 0.001n1.3 + 0.025n + (1000)4
500n + 100n + 50n log10 n
(10n!.5)4 + 0.3n + 5nº.5 + 2.5 · n2.75
150n³ + n² log2 n+ n(log2 n)ª
3 log10 n+ log2 log2 n
100n4 + 0.01n² + 200(log2 n)4
1.
2.
3.
4.
5.
6.
7.
n3 + 0.01n + 100n2 + 5n³
8.
2n0.5 + n0.35 + 0.5n0.25
0.01n2 log2 n+ n(log2 n)
50n3 log; n+ n log; n+ 100nt
9.
10.
Transcribed Image Text:S. No. Dominant term(s) О (...) Expression 75 + 0.001n1.3 + 0.025n + (1000)4 500n + 100n + 50n log10 n (10n!.5)4 + 0.3n + 5nº.5 + 2.5 · n2.75 150n³ + n² log2 n+ n(log2 n)ª 3 log10 n+ log2 log2 n 100n4 + 0.01n² + 200(log2 n)4 1. 2. 3. 4. 5. 6. 7. n3 + 0.01n + 100n2 + 5n³ 8. 2n0.5 + n0.35 + 0.5n0.25 0.01n2 log2 n+ n(log2 n) 50n3 log; n+ n log; n+ 100nt 9. 10.
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