S. Expression Dominant term(s) |0(...) No. 75 + 0.001n'3 + 0.025n + (1000)* 500n + 100n³ + 50n³ log10 n 1. 2. (10n26)4 + 0.3n + 5n10.3 + 2.5 n²75 150n* + n² log, n+ (n(log, n))* 3 logio n+ log2 log; n 100n + 0.01n² + 200(log, n)* n³ + 0.01n + 100n² + 5n³ 2n05 + n°.35 + 0.5n 0.01n² log; n + n(log; n) 50n log, n + n° log, n+ 100n 3. 4. 5. 6. 7. 8. 0.25 9. 10.

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
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2. Following are the various algorithms time complexities expressions. Find the dominant terms and
specify the Big-Oh complexity of each algorithm.
S.
Expression
Dominant term(s) 0 (. . .)
No.
1.
75 +0.001n3+ 0.025n + (1000)*
500n + 100n³ + 50n³ log10 n
(10n26)4 + 0.3n + 5n10.3 + 2.5 · n²75
150nt + n² log, n+ (n(log, n))*
3 log1o n+ log, log, n
100n + 0.01n² + 200(log, n)“
n + 0.01n + 100n² + 5n³
2n0.5 + n0.35 + 0.5n0.25
2.
3.
4.
5.
6.
7.
8.
0.01n² log, n + n(log, n)
50n log; n + n³ log; n+ 100n*
9.
10.
Transcribed Image Text:2. Following are the various algorithms time complexities expressions. Find the dominant terms and specify the Big-Oh complexity of each algorithm. S. Expression Dominant term(s) 0 (. . .) No. 1. 75 +0.001n3+ 0.025n + (1000)* 500n + 100n³ + 50n³ log10 n (10n26)4 + 0.3n + 5n10.3 + 2.5 · n²75 150nt + n² log, n+ (n(log, n))* 3 log1o n+ log, log, n 100n + 0.01n² + 200(log, n)“ n + 0.01n + 100n² + 5n³ 2n0.5 + n0.35 + 0.5n0.25 2. 3. 4. 5. 6. 7. 8. 0.01n² log, n + n(log, n) 50n log; n + n³ log; n+ 100n* 9. 10.
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