Following are the various algorithms time complexities expressions. Find the dominant terms and specify the Big-Oh complexity of each algorithm.S. No.ExpressionDominant term(s)O (. . .)1.75 + 0.001n1.3 + 0.025n + (1000)4 2.500n + 100n + 50n log10 n 3.(10n1.5)4 + 0.3n + 5n6.5 + 2.5 · n2.75 4.150n3 + n2 log2 n + n(log2 n)4 5.3 log10 n + log2 log2 n 6.100n4 + 0.01n2 + 200(log2 n)4 7.n3 + 0.01n + 100n2 + 5n3 8.2n0.5 + n0.35 + 0.5n0.25 9.0.01n2 log2 n + n(log2 n) 10.50n3 log3 n + n5 log3 n + 100n4 Following are the various algorithms time complexities expressions. Find the dominant terms andspecify the Big-Oh complexity of each algorithm.Expression75 + 0.001n.3 +0.025n + (1000)500n + 100n + 50n log1o n(10n1.5)4 +0.3n + 5nº.5 + 2.5 · n².75150n3 + n² log2 n+n(log2 n)*3 log10 n + log2 log, n100n4 + 0.01n² + 200(log2 n)n3 + 0.01n + 100n? + 5n32n0.3 +n0.35 +0.5n0.250.01n² log2 n + n(log2 n)50n3 log3 n + n log3 n + 100ntS. No.Dominant term(s)O(.)1.2.3.4.5.6.7.8.9.10.

Answer: 1. Dominant Term: n1.3 O(..)=O(n) 2. Dominant Term:50n log10 n O(..)=O(nlog(n)) 3. Dominant…

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

See similar textbooks

Related questions

Concept explainers

Question

Following are the various algorithms time complexities expressions. Find the dominant terms and specify the Big-Oh complexity of each algorithm.

S. No.	Expression	Dominant term(s)	O (. . .)
1.	75 + 0.001n^1.3 + 0.025n + (1000)⁴
2.	500n + 100n + 50n log₁₀ n
3.	(10n^1.5)⁴ + 0.3n + 5n^6.5 + 2.5 · n^2.75
4.	150n³ + n² log₂ n + n(log₂ n)⁴
5.	3 log₁₀ n + log₂ log₂ n
6.	100n⁴ + 0.01n² + 200(log₂ n)⁴
7.	n³ + 0.01n + 100n² + 5n³
8.	2n^0.5 + n^0.35 + 0.5n^0.25
9.	0.01n² log₂ n + n(log₂ n)
10.	50n³ log₃ n + n⁵ log₃ n + 100n⁴

Following are the various algorithms time complexities expressions. Find the dominant terms and
specify the Big-Oh complexity of each algorithm.
Expression
75 + 0.001n.3 +0.025n + (1000)
500n + 100n + 50n log1o n
(10n1.5)4 +0.3n + 5nº.5 + 2.5 · n².75
150n3 + n² log2 n+n(log2 n)*
3 log10 n + log2 log, n
100n4 + 0.01n² + 200(log2 n)
n3 + 0.01n + 100n? + 5n3
2n0.3 +n0.35 +0.5n0.25
0.01n² log2 n + n(log2 n)
50n3 log3 n + n log3 n + 100nt
S. No.
Dominant term(s)
O(.)
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions