Answered: A.1 A.2 A.3 A.4 Expression 8 +0.081n² +…

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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Question

Assume that each of the expressions in the following table has processing time T(n) to solve a problem of size n. Identify the dominant term(s) having the growing increase in n and specify the Big-Oh complexity.

A.1
A.2
A.3
A.4
Expression
8 + 0.081n² +0.040n
100 + n log2 n
100n + 0.081 log3 n + n³
0.081 log4 n + 81n
Dominant
term(s)
Big-Oh

Expert Solution

Step 1

Given expressions:

A.1: $8 + 0.081 n^{2} + 0.040 n$
A.2: $100 + n \log_{2} n$
A3.: $100 n + 0.081 \log_{3} n + n^{3}$
A.4: $0.081 \log_{4} n + 81 n$

To find:

Dominant terms and Big-Oh notation

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