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
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 2.2, Problem 25E
(a)
To determine
The equivalent ways to describe the sets
(b)
To determine
The way to describe the set
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
5.
156
m/WXY = 59°
63
E
7.
B
E
101 C
mFE =
6.
68°
8.
C
17
Scoring: MATH
15 FILING
/10 COMPARISON
/10 RULER I
13
Express
EMPLOYMENT PROFESSIONALS
NAME:
SKILLS EVALUATION TEST- Light Industrial
MATH-Solve the following problems. (Feel free to use a calculator.)
DATE:
1. If you were asked to load 225 boxes onto a truck, and the boxes are crated,
with each crate containing nine boxes, how many crates would you need to load?
2. Imagine you live only one mile from work and you decide to walk. If you
walk four miles per hour, how long will it take you to walk one mile?
3. Add 3 feet 6 inches + 8 feet 2 inches + 4 inches + 2 feet 5 inches.
4. In a grocery store, steak costs $3.85 per pound. If you buy a three-pound
steak and pay for it with a $20 bill, how much change will you get?
5. Add 8 minutes 32 seconds + 37 minutes 18 seconds + 15 seconds.
FILING - In the space provided, write the number of the file cabinet where the company should be filed.
Example: File Cabinet #4 Elson Co.
File Cabinets:
1. Aa-Bb
3. Cg-Dz
5. Ga-Hz
7. La-Md
9. Na-Oz
2. Bc-Cf…
part 3 of the question is:
A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes.
What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.
Will the last passenger to board the ride need to wait in order to exit the ride? Explain.
Chapter 2 Solutions
Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Ch. 2.1 - 5{x+2y|x{0,1,2},y{2,0,2}}Ch. 2.1 - 5{x+2y|x{0,1,2},y{2,0,2}}Ch. 2.1 - If A={a,b}, then bA.Ch. 2.1 - Prob. 4TFQCh. 2.1 - {,{}}Ch. 2.1 - {,{}}Ch. 2.1 - True/False Questions
7.
Ch. 2.1 - Prob. 8TFQCh. 2.1 - (Assume A and B are sets). ABBA.Ch. 2.1 - If A has two elements, then P(P(A)) has eight...
Ch. 2.1 - Prob. 1ECh. 2.1 - 2. List five elements in each of the following...Ch. 2.1 - Let A={1,2,3,4}. List all the subsets B of A such...Ch. 2.1 - 4. Let . Are the following statements true or...Ch. 2.1 - 5. Determine which of the following are true and...Ch. 2.1 - Prob. 6ECh. 2.1 - Determine which of the following are true and...Ch. 2.1 - Prob. 8ECh. 2.1 - a) List all the subset of set {a,b,c,d} that...Ch. 2.1 - (a) How many elements are in the power set of the...Ch. 2.1 - Prob. 11ECh. 2.1 - Prob. 12ECh. 2.1 - Prob. 13ECh. 2.1 - Prob. 14ECh. 2.2 - Prob. 1TFQCh. 2.2 - Prob. 2TFQCh. 2.2 - Prob. 3TFQCh. 2.2 - Prob. 4TFQCh. 2.2 - If A and B are setsand AB, then AB.Ch. 2.2 - Prob. 6TFQCh. 2.2 - The name of Augustus De Morgan appears in both...Ch. 2.2 - (AC)(BcAc).Ch. 2.2 - True/False Questions
9.
Ch. 2.2 - Prob. 10TFQCh. 2.2 - List A={xN|x7},B={xZ||x2|4} and C={xR|x34x=0}:...Ch. 2.2 - Prob. 2ECh. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - For A={a,b,c,{a,b}}, find (a) A{a,b} (b) {}P(A)...Ch. 2.2 - Prob. 6ECh. 2.2 - 7. Let , and . List the elements in the...Ch. 2.2 - Let n3 and A={1,2,3,.....n}. (a) How many subsets...Ch. 2.2 - Prob. 9ECh. 2.2 - 10. The universal set for this problem is the set...Ch. 2.2 - Prob. 11ECh. 2.2 - 12. Let P denote the set of primes and E the set...Ch. 2.2 - For nZ, let An={aZ|an}. Find each of the following...Ch. 2.2 - Prob. 14ECh. 2.2 - 15. Let , and .
(a) Draw a Venn diagram showing...Ch. 2.2 - Prob. 16ECh. 2.2 - Prob. 17ECh. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - Prob. 25ECh. 2.2 - Prob. 26ECh. 2.2 - Prob. 27ECh. 2.2 - Prob. 28ECh. 2.2 - Prob. 29ECh. 2.2 - Prob. 30ECh. 2.2 - Prob. 31ECh. 2.3 - {(x,x+1)|xN} is a binary relation on N, the set of...Ch. 2.3 - True/False Questions
2. is a binary relation on...Ch. 2.3 - Let be a binary relation on a set A and let aA....Ch. 2.3 - Let R be a binary relation on a set A and let aA....Ch. 2.3 - Let R be a binary relation on a set A. If R is not...Ch. 2.3 - True/False Questions
6. Let be a binary relation...Ch. 2.3 - True/False Questions
7. Let be a binary relation...Ch. 2.3 - If a binary relation R is antisymmetric, then R is...Ch. 2.3 - If a binary relation R is notsymmetric, then it is...Ch. 2.3 - True/False Questions
10. Let be a binary relation...Ch. 2.3 - Let B denote the set of books in a college library...Ch. 2.3 - 2. Let A denote the set of names of streets in St....Ch. 2.3 - Determine which of the properties reflexive,...Ch. 2.3 - 4. With a table like that in Fig. 2.2, illustrate...Ch. 2.3 - 5. Let . List the ordered pairs in a relation on A...Ch. 2.3 - 6. Is it possible for a binary relation to be both...Ch. 2.3 - What is wrong with the following argument, which...Ch. 2.3 - Determine whether each of the binary relations R...Ch. 2.3 - Determine whether each of the binary relations R...Ch. 2.3 - Prob. 10ECh. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - Prob. 13ECh. 2.4 - True/False Questions
“” defines an equivalence...Ch. 2.4 - An equivalence relation on a set A is a binary...Ch. 2.4 - Prob. 3TFQCh. 2.4 - Prob. 4TFQCh. 2.4 - Prob. 5TFQCh. 2.4 - Prob. 6TFQCh. 2.4 - Prob. 7TFQCh. 2.4 - Prob. 8TFQCh. 2.4 - Prob. 9TFQCh. 2.4 - Prob. 10TFQCh. 2.4 - Prob. 11TFQCh. 2.4 - Prob. 1ECh. 2.4 - 2. Explain why each of the following binary...Ch. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.4 - For natural numbers a and b, define a~b if and...Ch. 2.4 - Prob. 7ECh. 2.4 - 8. For integers a, b, define if and only if for...Ch. 2.4 - 9. Define ~ on Z by if and only if is a multiple...Ch. 2.4 - 10. For integers a and b, define if for some...Ch. 2.4 - 11. For , define if and only if .
(a) Prove that...Ch. 2.4 - For a,bZ, define a~b if and only if a2b2 is...Ch. 2.4 - Prob. 13ECh. 2.4 - Prob. 14ECh. 2.4 - Prob. 15ECh. 2.4 - Define ~ on R2 by (x,y)~(u,v) if and only if...Ch. 2.4 - Prob. 17ECh. 2.4 - Determine which of the following define...Ch. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.4 - Prob. 21ECh. 2.4 - 22. Let A be the set of all natural numbers and ~...Ch. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Prob. 25ECh. 2.5 - A partial order on a set A is a reflexive,...Ch. 2.5 - Prob. 2TFQCh. 2.5 - True/False Questions
3. The binary relation “” on...Ch. 2.5 - Prob. 4TFQCh. 2.5 - Hasse diagrams are used to identify the...Ch. 2.5 - Prob. 6TFQCh. 2.5 - Prob. 7TFQCh. 2.5 - Prob. 8TFQCh. 2.5 - Prob. 9TFQCh. 2.5 - The statement in Question 9 is the contrapositive...Ch. 2.5 - 1. Determine whether each of the following...Ch. 2.5 - 2. (a) List the elements of the set in...Ch. 2.5 - List all pairs (x,y) with xy in the partial orders...Ch. 2.5 - Prob. 4ECh. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - In the poset (P(S),) of subsets of a set S, under...Ch. 2.5 - Prob. 8ECh. 2.5 - Prob. 9ECh. 2.5 - 10. (a) Let and, for and in A, define if and...Ch. 2.5 - Prob. 11ECh. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2 - If A={xN|x7},B={xZ||x5|3}andC={2,3}, find (AB)C.Ch. 2 - Let A={xZ|1x2},B={2x3|xA},andC={xR|x=ab,aA,bB}....Ch. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - 5. This exercise refers to the Venn diagram shown...Ch. 2 - Prob. 6RECh. 2 - Let A={1}. Find P(P(A)).Ch. 2 - Prob. 8RECh. 2 - Give an example showing that the statement...Ch. 2 - Prob. 10RECh. 2 - 11. Let A be a set.
(a) What is meant by the term...Ch. 2 - Let A={xR||x|1} and, for a,bA, define (a,b)R if...Ch. 2 - Determine whether ~ is reflexive, symmetric,...Ch. 2 - For a,bN, define a~b if and only if ab. Determine...Ch. 2 - 15. Define a relation R on Z by if is a multiple...Ch. 2 - 16. Define a relation R on Z by if is a multiple...Ch. 2 - 17. Let ~ denote an equivalence relation on a set...Ch. 2 - 18. Let ~ denote an equivalence relation on a set...Ch. 2 - Prob. 19RECh. 2 - Let A be the set of points different from the...Ch. 2 - Show that (P(Z),) is a partially ordered set.Ch. 2 - Let A={1,2,4,6,8} and, for a,bA, define a_b if and...Ch. 2 - 23. Let be a poset and . Can a and b have two...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- If you were asked to load 225 boxes onto a truck, and the boxes are crated, with each crate containing nine boxes, how many crates would you need to load?arrow_forwardForce with 800 N and 400 N are acting on a machine part at 30° and 60°, respectively with the positive x axisarrow_forward2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel? (b) What is the position of that passenger when the ride ends?arrow_forward
- Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $13,000, r = 6%, t = 10, compounded quarterly A = $ 31902 Need Help? Read It Watch It Viewing Saved Work Revert to Last Response SUBMIT ANSWER O/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.003. EVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $140,000, r = 8%, t = 8, compounded monthly A = $259130.20 X Need Help? Read It Watch Itarrow_forwardFind the present value of $20,000 due in 3 years at the given rate of interest. (Round your answers to the nearest cent.) (a) 2%/year compounded monthly (b) 5%/year compounded daily $ Need Help? Read It Watch It SUBMIT ANSWER [-/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.009. ASK YOUR TEACHER PRACTICE ANC Find the accumulated amount after 3 years if $4000 is invested at 3%/year compounded continuously. (Round your answer to the nearest cent.) Need Help? Read It Watch Itarrow_forwardFind the effective rate corresponding to the given nominal rate. (Round your answers to three decimal places.) (a) 9.5%/year compounded monthly % (b) 9.5%/year compounded daily % Need Help? Read It Watch It SUBMIT ANSWER -/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.007. ASK YOUR TEACHE Find the present value of $90,000 due in 7 years at the given rate of interest. (Round your answers to the nearest cent.) (a) 9%/year compounded semiannually (b) 9%/year compounded quarterly LAarrow_forward
- Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $160,000, r = 7%, t = 4, compounded daily A = $211113.60 Need Help? Read It SUBMIT ANSWER ASK YOUR TEACHER PRACTICE ANOTHER --/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.005. Find the effective rate corresponding to the given nominal rate. (Round your answers to three decimal places.) (a) 8%/year compounded semiannually % (b) 9%/year compounded quarterly %arrow_forward3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents the pendulum's displacement as a function of time. Answer: f(t) (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function. 10 9 8 7 6 5 4 3 2 1 0 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -1 -5. -6 -7 -8 -9 -10-arrow_forwardFind the derivative of the function. g'(t) = 9t g(t) = In(t) (9ln(t) - 1) [In(t)] 2 × Need Help? Read It Watch Itarrow_forward
- A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. (a) What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. (b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forwardFind the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $3800, r = 4%, t = 10, compounded semiannually A = $ 5645.60 × Need Help? Read It SUBMIT ANSWER [3.33/6.66 Points] DETAILS MY NOTES REVIOUS ANSWERS ASK YOUR TEACHER TANAPCALC10 5.3.001.EP. PRACTICE ANOTHER Consider the following where the principal P is invested at an interest rate of r per year for t years. P = $3,100, r = 4%, t = 10, compounded semiannually Determine m, the number of conversion periods per year. 2 Find the accumulated amount A (in dollars). (Round your answer to the nearest cent.) A = $ 4604.44arrow_forwardThe Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140- €120 Height, h (ft) 100 80 60 40 20 0 ך 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel. Answer:arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Orthogonality in Inner Product Spaces; Author: Study Force;https://www.youtube.com/watch?v=RzIx_rRo9m0;License: Standard YouTube License, CC-BY
Abstract Algebra: The definition of a Group; Author: Socratica;https://www.youtube.com/watch?v=QudbrUcVPxk;License: Standard Youtube License