Solution Found!

Math / Discrete Mathematics with Applications 4 / Chapter 4.7 / Problem 15E

Discrete Mathematics with Applications | 4th Edition | ISBN: 9780495391326 | Authors: Susanna S. Epp

Change Question

a. Prove that for all integers a, if a3 is even then a is

Chapter 4, Problem 15E

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

a. Prove that for all integers a, if \(a^{3}\) is even then a is even.

b. Prove that \(\sqrt[3]{2}\) is irrational.

Text Transcription:

a^3

sqrt [3]2

Questions & Answers

QUESTION:

a. Prove that for all integers a, if \(a^{3}\) is even then a is even.

b. Prove that \(\sqrt[3]{2}\) is irrational.

Text Transcription:

a^3

sqrt [3]2

ANSWER:

Solution:

Step 1:

Here we have to prove that if $a{\ }^{3}$ is even if $a$ is even. Also prove that $\sqrt[3]{2}$ is irrational.

Study Tools You Might Need

Chapter: 3 Problem: 6

College Physics 1
Problem 6CQ Suppose you take two steps A and B (that is, two nonzero displacements). Under what circumstances can you end up at your starting point? More generally, under what circumstances can two nonzero vectors add to give zero? Is the maximum distance you can end up from the starting point A +

Chapter: 0 Problem: 1

Biology 8
Genetic variation in bacterial populations cannot result from a. transduction. d. mutation. b. transformation. e. meiosis. c. conjugation

Chapter: 4 Problem: 34

Elementary Statistics: A Step by Step Approach 8th ed. 8
Computer Ownership At a local university 54.3% of incoming first-year students have computers. If 3 students are selected at random, find the following probabilities. a. None have computers. 0.0954 b. At least one has a computer. 0.9046 c. All have computers. 0.1601

Chapter: 28 Problem: 28.6

Campbell Biology: Concepts & Connections 7
Neurons communicate at synapses. The transmission of signals between neurons or between neurons and effector cells occurs at junctions called synapses. At electrical synapses, electrical signals pass directly between cells. At chemical synapses, the sending (presynaptic) cell secretes a chemical sign

Chapter: 5 Problem: 31

Essentials of Human Anatomy & Physiology 11
Compare the amount of movement possible in syn- arthrotic, amphiarthrotic, and diarthrotic joints. Relate these terms to the structural classification of joints; that is, to fibrous, cartilaginous, and synovial joints.

Chapter: 9 Problem: 7

Macroeconomics 22nd
What is the Consumer Price Index (CPI), and how is it deter- mined each month? How does the Bureau of Labor Statistics calculate the inflation rate from one year to the next? How does inflation affect the purchasing power of a dollar? How does it explain differences between nominal and real interest

Chapter: 41 Problem: 1

Biology: The Unity and Diversity of Life 15
Drugs that interfere with sympathetic nerve signals are often prescribed for men who have high blood pressure. How might such drugs impair sexual performance?

Chapter: 20 Problem: 20.2

Chemistry for today : general, organic, and biochemistry 9
List two ways that enzyme catalysis of a reaction is superior to normal laboratory conditions.

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account