2. Following are the various algorithms time complexities expressions. Find the dominant terms andspecify the Big-Oh complexity of each algorithm.[10 x 4]S. No.Dominant term(s)O(. . )Expression75 + 0.001n3 + 0.025n + (1000)4500n + 100n3 + 50n³ log10 n(10n2.6)4 + 0.3n + 5n10.3 + 2.5 ·n².75150n4 + n² log2 n + (n(log2 n))“3 log10 n + log, log, n100n3 + 0.01n² + 200(log2 n)ª1.31.2.3.4.5.6.7.n3 + 0.01n + 100n2 + 5n32n0.5 + n0.35 + 0.5n0.250.01n² log2 n + n(log, n)50n³ log3 n + n³ log3 n + 100n“8.9.10.

Calculate: Find the dominant terms and specify the Big-Oh complexity of each algorithm.

Answered: Following are the various algorithms…

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

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Assume that each of the expressions below gives the processing time T(n) spent by an algorithm for solving a problem of size n. Select the dominant term(s) having the steepest increase in n and specify the lowest Big-Oh complexity of each algorithm. For example, the dominant term in 0.1n + 10n4 is 10n4 and it is O(n4). Expression Dominant term(s) O(. . .) 5 + 0.001n3 + 0.025n 500n + 100n1.5 + 50n log10 n 0.3n + 5n1.5 + 2.5 · n1.75 n2 log2 n + n(log2 n)2 n log3 n + n log2 n 100n + 0.01n2 0.01n + 100n2 2n + n0.5 + 0.5n1.25 0.01n log2 n + n(log2 n)2 100n log3 n + n3 + 100n
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