MATH IN OUR WORLD:ALEKS>CUSTOM<
4th Edition
ISBN: 9781260499544
Author: sobecki
Publisher: MCG CUSTOM
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Textbook Question
Chapter 13, Problem 9CT
Use the brute force method to find the shortest distance from Adamsburg through all cities and back to Adamsburg. What is the shortest distance in miles?
8. A salesperson who lives in Adamsburg must visit Trafford, White Oak, and Turtle Creek. The distances between the cities are as follows: Adamsburg to White Oak is 27 miles, Adamsburg to Turtle Creek is 18 miles. Adamsburg to Trafford is 20 miles, Trafford to White Oak is 14 miles, Trafford to Turtle Creek is 19 miles, and White Oak to Turtle Creek is 12 miles. Represent the distances with a complete weighted graph.
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Students have asked these similar questions
26. A certain system can experience three different types of defects. Let A;(i = 1,2,3) denote the event that the sys- tem has a defect of type i. Suppose thatP(A1) = .12 P(A) = .07 P(A) = .05P(A, U A2) = .13P(A, U A3) = .14P(A2 U A3) = .10P(A, A2 A3) = .011Rshelfa. What is the probability that the system does not havea type 1 defect?b. What is the probability that the system has both type 1 and type 2 defects?c. What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? d. What is the probability that the system has at most two of these defects?
Calculs Insights
πT
| cos x |³ dx
59
2
2. Consider the ODE
u' = ƒ (u) = u² + r
where r is a parameter that can take the values r = −1, −0.5, -0.1, 0.1. For each value of r:
(a) Sketch ƒ(u) = u² + r and determine the equilibrium points.
(b) Draw the phase line.
(d) Determine the stability of the equilibrium points.
(d) Plot the direction field and some sample solutions,i.e., u(t)
(e) Describe how location of the equilibrium points and their stability change as you increase the
parameter r.
(f) Using the matlab program phaseline.m generate a solution for each value of r and the initial
condition u(0) = 0.9. Print and turn in your result for r = −1. Do not forget to add a figure caption.
(g) In the matlab program phaseline.m set the initial condition to u(0) = 1.1 and simulate the ode
over the time interval t = [0, 10] for different values of r. What happens? Why? You do not need to
turn in a plot for (g), just describe what happens.
Chapter 13 Solutions
MATH IN OUR WORLD:ALEKS>CUSTOM<
Ch. 13.1 - Prob. 1TTOCh. 13.1 - The floor plan shown in Figure 14-7 is for a...Ch. 13.1 - Prob. 3TTOCh. 13.1 - Draw a graph for my neighborhood, shown in Figure...Ch. 13.1 - Prob. 5TTOCh. 13.1 - Prob. 6TTOCh. 13.1 - Prob. 7TTOCh. 13.1 - Prob. 8TTOCh. 13.1 - Prob. 1ECh. 13.1 - What is the difference between a loop and a...
Ch. 13.1 - What is the difference between a circuit and a...Ch. 13.1 - Draw two graphs that look physically different but...Ch. 13.1 - Prob. 5ECh. 13.1 - Prob. 8ECh. 13.1 - Prob. 9ECh. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - How does graph coloring apply to maps?Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Prob. 18ECh. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Prob. 20ECh. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Use the following graph to answer Exercises 1324....Ch. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - For Exercises 3134, represent each figure using a...Ch. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - For Exercises 3538, draw a graph to represent each...Ch. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - For Exercises 3942, draw a graph that represents...Ch. 13.1 - Prob. 41ECh. 13.1 - Prob. 42ECh. 13.1 - In Exercises 4350, use graph coloring to find the...Ch. 13.1 - Prob. 44ECh. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.1 - In Exercises 4350, use graph coloring to find the...Ch. 13.1 - Prob. 48ECh. 13.1 - Prob. 49ECh. 13.1 - Prob. 50ECh. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - Prob. 54ECh. 13.1 - Prob. 55ECh. 13.1 - Draw a graph that represents the street map in...Ch. 13.1 - Prob. 57ECh. 13.1 - Prob. 58ECh. 13.1 - Prob. 59ECh. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Prob. 63ECh. 13.1 - (a)When a graph represents a map as in Exercise...Ch. 13.2 - Classify the paths shown in the graphs as Euler...Ch. 13.2 - Use Euler's theorem to determine if the graphs...Ch. 13.2 - Prob. 3TTOCh. 13.2 - Prob. 4TTOCh. 13.2 - Prob. 1ECh. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.2 - Prob. 6ECh. 13.2 - Prob. 7ECh. 13.2 - Prob. 8ECh. 13.2 - For Exercises 710, decide whether each connected...Ch. 13.2 - Prob. 10ECh. 13.2 - For Exercises 710, decide whether each connected...Ch. 13.2 - Prob. 12ECh. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 14ECh. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 16ECh. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 18ECh. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 20ECh. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - For Exercises 1120, (a)State whether the graph has...Ch. 13.2 - Prob. 23ECh. 13.2 - Prob. 24ECh. 13.2 - Prob. 25ECh. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - For Exercises 2126, draw a graph for the figures...Ch. 13.2 - Prob. 29ECh. 13.2 - Prob. 30ECh. 13.2 - Prob. 31ECh. 13.2 - Prob. 32ECh. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - For Exercises 33 and 34, determine if an Euler...Ch. 13.2 - For Exercises 33 and 34, determine if an Euler...Ch. 13.2 - Prob. 37ECh. 13.2 - Prob. 39ECh. 13.2 - Prob. 40ECh. 13.2 - Draw some sample graphs and use them to discuss...Ch. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - Prob. 44ECh. 13.2 - Prob. 45ECh. 13.2 - Explain why the word connected is crucial...Ch. 13.2 - Prob. 47ECh. 13.2 - Prob. 48ECh. 13.3 - Prob. 1TTOCh. 13.3 - Prob. 2TTOCh. 13.3 - Prob. 3TTOCh. 13.3 - The driving times in minutes between four cities...Ch. 13.3 - Prob. 5TTOCh. 13.3 - Prob. 6TTOCh. 13.3 - Prob. 7TTOCh. 13.3 - What is the difference between a Hamilton path and...Ch. 13.3 - Prob. 2ECh. 13.3 - Give an example of a problem in our world that can...Ch. 13.3 - Prob. 4ECh. 13.3 - Prob. 5ECh. 13.3 - Prob. 6ECh. 13.3 - Describe what a typical traveling salesperson...Ch. 13.3 - Prob. 8ECh. 13.3 - Prob. 9ECh. 13.3 - Prob. 10ECh. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - For Exercises 1118, find two different Hamilton...Ch. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - For Exercises 1118, find two different Hamilton...Ch. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - For Exercises 1118, find two different Hamilton...Ch. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13.3 - Prob. 24ECh. 13.3 - For Exercises 1924, find two different Hamilton...Ch. 13.3 - Prob. 26ECh. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - For Exercises 2528, find the number of Hamilton...Ch. 13.3 - Prob. 30ECh. 13.3 - Prob. 31ECh. 13.3 - For Exercises 29 and 30, use the brute force...Ch. 13.3 - For Exercises 3134, use the nearest neighbor...Ch. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - Prob. 37ECh. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - Prob. 40ECh. 13.3 - Prob. 41ECh. 13.3 - For Exercises 3942, use the information in the...Ch. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - For Exercises 4346, use the information in the...Ch. 13.3 - For Exercises 4346, use the information in the...Ch. 13.3 - For Exercises 45–48, use the information in the...Ch. 13.3 - Prob. 49ECh. 13.3 - A pizza delivery person has five prearranged...Ch. 13.3 - Prob. 51ECh. 13.3 - Prob. 52ECh. 13.3 - Prob. 53ECh. 13.3 - Prob. 54ECh. 13.3 - When planning routes, distance isnt always the key...Ch. 13.3 - Prob. 56ECh. 13.3 - Repeat questions 51 through 54, choosing four...Ch. 13.3 - Prob. 58ECh. 13.3 - Prob. 59ECh. 13.3 - Prob. 60ECh. 13.3 - Find a road atlas that has a mileage chart. Pick...Ch. 13.3 - Prob. 62ECh. 13.3 - Prob. 63ECh. 13.3 - Prob. 64ECh. 13.3 - Prob. 65ECh. 13.3 - Prob. 66ECh. 13.3 - Prob. 67ECh. 13.3 - Prob. 68ECh. 13.3 - Prob. 69ECh. 13.3 - Prob. 70ECh. 13.3 - Prob. 71ECh. 13.3 - Prob. 72ECh. 13.3 - Prob. 73ECh. 13.3 - Prob. 74ECh. 13.4 - Prob. 1TTOCh. 13.4 - Prob. 2TTOCh. 13.4 - Prob. 3TTOCh. 13.4 - Prob. 4TTOCh. 13.4 - Prob. 5TTOCh. 13.4 - Prob. 1ECh. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - Prob. 4ECh. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - For Exercise 716, decide whether or not each graph...Ch. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - Prob. 10ECh. 13.4 - Prob. 11ECh. 13.4 - Prob. 12ECh. 13.4 - Prob. 13ECh. 13.4 - Prob. 14ECh. 13.4 - Prob. 15ECh. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Prob. 25ECh. 13.4 - Prob. 26ECh. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - As a new suburban neighborhood is being built, the...Ch. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Prob. 37ECh. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - In the last two sections, we used both Hamilton...Ch. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.4 - Prob. 44ECh. 13 - Use the graph shown in Figure 14-62 for Exercise...Ch. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Use the graph shown in Figure 14-62 for Exercises...Ch. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Repeat Exercise 13 for the graphs from Exercises...Ch. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - For the following graph: (a)What is the degree of...Ch. 13 - Draw a graph with two bridges, and the...Ch. 13 - Prob. 3CTCh. 13 - Prob. 4CTCh. 13 - (a)For the graph shown in Figure 14-73, find an...Ch. 13 - Prob. 6CTCh. 13 - For the housing plan shown in Figure 14-75, draw a...Ch. 13 - Prob. 8CTCh. 13 - Use the brute force method to find the shortest...Ch. 13 - Use the nearest neighbor method and cheapest link...Ch. 13 - Prob. 11CTCh. 13 - Decide whether the problem can be solved using...
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