Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
3rd Edition
ISBN: 9780134689555
Author: Edgar Goodaire, Michael Parmenter
Publisher: PEARSON
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Textbook Question
Chapter 9.1, Problem 5TFQ
(Answers can be found in the back of the book.)
In Instant Insanity, the cube 
is represented by 
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Check out a sample textbook solution
Students have asked these similar questions
Example: For what odd primes p is 11 a quadratic residue modulo p?
Solution:
This is really asking "when is (11 | p) =1?"
First, 11 = 3 (mod 4). To use LQR, consider two cases p = 1 or 3 (mod 4):
p=1 We have 1 = (11 | p) = (p | 11), so p is a quadratic residue modulo 11. By
brute force:
121, 224, 3² = 9, 4² = 5, 5² = 3 (mod 11)
so the quadratic residues mod 11 are 1,3,4,5,9.
Using CRT for p = 1 (mod 4) & p = 1,3,4,5,9 (mod 11).
p = 1
(mod 4)
&
p = 1
(mod 11
gives p
1
(mod 44).
p = 1
(mod 4)
&
p = 3
(mod 11)
gives p25
(mod 44).
p = 1
(mod 4)
&
p = 4
(mod 11)
gives p=37
(mod 44).
p = 1
(mod 4)
&
p = 5
(mod 11)
gives p
5
(mod 44).
p = 1
(mod 4)
&
p=9
(mod 11)
gives p
9
(mod 44).
So p =1,5,9,25,37 (mod 44).
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
Jamal wants to save $48,000 for a down payment on a home. How much will he need to invest in an
account with 11.8% APR, compounding daily, in order to reach his goal in 10 years? Round to the
nearest dollar.
Chapter 9 Solutions
Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Ch. 9.1 - (Answers can be found in the back of the book.)
1....Ch. 9.1 - (Answers can be found in the back of the book.)
2....Ch. 9.1 - (Answers can be found in the back of the book.)...Ch. 9.1 - (Answers can be found in the back of the book.)...Ch. 9.1 - (Answers can be found in the back of the book.)
5....Ch. 9.1 - Prob. 6TFQCh. 9.1 - Prob. 7TFQCh. 9.1 - Prob. 8TFQCh. 9.1 - Prob. 9TFQCh. 9.1 - Prob. 10TFQ
Ch. 9.1 - 1. [BB](Fictitious) A recently discovered map of...Ch. 9.1 - Prob. 2ECh. 9.1 - 3. One of the owners of the houses in the Three...Ch. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - You and a friend meet three other couples at a...Ch. 9.1 - 8. (a) A graph has six vertices, every two of...Ch. 9.1 - [BB] A graph has six vertices, every two of which...Ch. 9.1 - Prob. 10ECh. 9.1 - Prob. 11ECh. 9.2 - Prob. 1TFQCh. 9.2 - Prob. 2TFQCh. 9.2 - Prob. 3TFQCh. 9.2 - (Answers can be found in the back of the book.) is...Ch. 9.2 - Prob. 5TFQCh. 9.2 - Prob. 6TFQCh. 9.2 - Prob. 7TFQCh. 9.2 - Prob. 8TFQCh. 9.2 - Prob. 9TFQCh. 9.2 - Prob. 10TFQCh. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Draw a graph with 64 vertices representing the...Ch. 9.2 - Consider again the graph accompanying Exercise 5...Ch. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - 13. [BB] At most social functions, there is a lot...Ch. 9.2 - Prob. 14ECh. 9.2 - 15. [BB;(a)] for each pair of graphs shown,...Ch. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - For each of the following sequences, determine if...Ch. 9.2 - Prob. 19ECh. 9.2 - [BB] A graph has five vertices of degree 4 and two...Ch. 9.2 - Determine whether each of the graphs in Fig 9.23...Ch. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - 24. [BB](requires calculus) Prove that the number...Ch. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.3 - (Answers can be found in the back of the book.) It...Ch. 9.3 - Prob. 2TFQCh. 9.3 - Prob. 3TFQCh. 9.3 - Prob. 4TFQCh. 9.3 - Prob. 5TFQCh. 9.3 - (Answers can be found in the back of the book.)
6....Ch. 9.3 - (Answers can be found in the back of the book.) If...Ch. 9.3 - Prob. 8TFQCh. 9.3 - Prob. 9TFQCh. 9.3 - Prob. 10TFQCh. 9.3 - [BB] For each of the ten pairs of graphs that can...Ch. 9.3 - Prob. 2ECh. 9.3 - [BB] Draw all nonisomorphic graphs on n =3...Ch. 9.3 - [BB;(b)] for each pair of grpahs shown. If the...Ch. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - [BB] Prove that two graphs that are isomorphic...Ch. 9.3 - Consider the following three graphs. [BB] How many...Ch. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9 - 1. In the Konigsberg Bridge Problem, a tragic fire...Ch. 9 - 2. (a) Draw a configuration of four houses and two...Ch. 9 - 3. Find the solutions, where possible, for the...Ch. 9 - Draw a graph with six vertices at least three of...Ch. 9 - For each of the following sequences, determine if...Ch. 9 - 6. (a) Does there exist a graph with degree...Ch. 9 - Determine whether or not each of the following...Ch. 9 - Answer these questions for each sequence: Does...Ch. 9 - Find a necessary and sufficient condition for the...Ch. 9 - Prob. 10RECh. 9 - Suppose a graph has 49 vertices, each of degree 4...Ch. 9 - Prob. 12RECh. 9 - A graph G has 50 edges, four vertices of degree 2,...Ch. 9 - Prob. 14RECh. 9 - For each pair of graphs shown in fig 9.30 If the...Ch. 9 - Prob. 16RECh. 9 - 17. For each of the following cases, explain why...Ch. 9 - George is examining three graphs G1, G2, G3. He...Ch. 9 - Answer Exercise 18 again, assuming that Georges...Ch. 9 - Prob. 20RE
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