   Chapter 11.5, Problem 4ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Exercises 3 and 4 illustrate that for relatively small values of n, algorithms with larger orders can be more efficient than algorithms with smaller orders. Use a graphing calculator or computer to answer these questions.4. For what values of n is an algorithm that requires ⌊ n 2 / 10 ⌋ operations more efficient than an algorithm that requires ⌊ n   log 2 n ⌋ operations?

To determine

To find:

The values of n for which the algorithm that requires n210 operations more efficient than an algorithm that requires nlog2n operations.

Explanation

Given information: Algorithm that requires n210 operations more efficient than an algorithm that requires nlog2n operations.

Calculation:

The algorithm that requires n210 operations more efficient than an algorithm that requires nlog2n operations, when

n210<nlog2n

For the clear explanation, let’s graph the functions f(x)=x210 and g(x)=xlog2x

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