Excursions In Modern Mathematics, 9th Edition
9th Edition
ISBN: 9780134494142
Author: Tannenbaum
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 44E
This exercise is a continuation of the Platonic Cowboys concert tour (Exercise 40). Find the repetitive nearest-neighbor tour, and give the total mileage for this tour. Write the answer using Nashville as starting city.
The Platonic Cowboys are a country and western band based in Nashville. The Cowboys are planning a concert tour to the seven cities in the mileage chart shown in Fig. 6-46.
a. Find the nearest-neighbor tour with Nashville as the starting city. What is the total length of this tour?
b. Find the nearest-neighbor tour using St. Louis as the starting city. Write the tour as it would be traveled by the band, which must start and end the tour in Nashville. What is the total length of this tour?
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Temperature for Sudbury
(degrees Celsius)
3.
The following table gives the mean monthly temperatures for Sudbury, Ontario and
Windsor, Ontario. Each month is represented by the day of the year in the middle of the month.
Month
Day of Year
Temperature for Windsor
(degrees Celsius)
January
15
-13.7
-4.7
February
45
-11.9
-3.8
March
75
-5.9
2.3
April
106
3.0
8.7
May
136
10.6
14.6
June
167
15.8
20.2
July
197
18.9
22.6
August
228
17.4
22.0
September
259
12.2
17.9
October
289
6.2
11.5
November
320
-1.2
4.8
December
350
-10.1
-1.2
a) Create a scatter plot of temperature vs. day of the year for each city.
b) Draw the curve of best fit for each graph.
c) Use your graphs to estimate when the temperature increases fastest, for each set of
temperature data. Explain how you determined these values.
d) Use your graphs to estimate the rate at which the temperature is increasing at the two
times
from question 3.
e) Determine an equation of a sinusoidal function to model the data for each city
Chapter 6 Solutions
Excursions In Modern Mathematics, 9th Edition
Ch. 6 - For the graph shown in Fig. 6-19, a.find three...Ch. 6 - For the graph shown in Fig. 6-20, a.find three...Ch. 6 - Find all possible Hamilton circuits in the graph...Ch. 6 - Find all possible Hamilton circuits in the graph...Ch. 6 - For the graph shown in Fig.6-23, a. find a...Ch. 6 - For the graph shown in Fig.6-24, a. find a...Ch. 6 - Suppose D,G,E,A,H,C,B,F,D is a Hamilton circuit in...Ch. 6 - Suppose G,B,D,C,A,F,E,G is a Hamilton circuit in a...Ch. 6 - Consider the graph in Fig. 6-25. a. Find the five...Ch. 6 - Consider the graph in Fig.6-26. a. Find all the...
Ch. 6 - Consider the graph in Fig.6-27. a. Find all the...Ch. 6 - Prob. 12ECh. 6 - For the graph in Fig.6-29 a. find a Hamilton path...Ch. 6 - For the graph in Fig.6-30 a. find a Hamilton path...Ch. 6 - Explain why the graph shown in Fig.6-31 has...Ch. 6 - Explain why the graph shown in Fig.6-32 has...Ch. 6 - For the weighted shown in Fig 6-33, a.find the...Ch. 6 - For the weighted graph shown in Fig6-34, a.find...Ch. 6 - For the weighted graph shown in Fig6-35, a.find a...Ch. 6 - For the weighted graph shown in Fig6-36, a.find a...Ch. 6 - Suppose you have a supercomputer that can generate...Ch. 6 - Suppose you have a supercomputer that can generate...Ch. 6 - Prob. 23ECh. 6 - a. How many edges are there in K200? b. How many...Ch. 6 - In each case, find the value of N. a. KN has 120...Ch. 6 - In each case, find the value of N. a. KN has 720...Ch. 6 - Find an optimal tour for the TSP given in...Ch. 6 - Find an optimal tour for the TSP given in...Ch. 6 - A truck must deliver furniture to stores located...Ch. 6 - A social worker starts from her home A, must visit...Ch. 6 - You are planning to visit four cities A, B, C, and...Ch. 6 - An unmanned rover must be routed to visit four...Ch. 6 - For the weighted graph shown in Fig.6-41, i find...Ch. 6 - A delivery service must deliver packages at...Ch. 6 - Prob. 35ECh. 6 - A space mission is scheduled to visit the moons...Ch. 6 - This exercise refers to the furniture truck TSP...Ch. 6 - This exercise refers to the social worker TSP...Ch. 6 - Darren is a sales rep whose territory consists of...Ch. 6 - The Platonic Cowboys are a country and western...Ch. 6 - Find the repetitive nearest-neighbor tour and give...Ch. 6 - Prob. 42ECh. 6 - This exercise is a continuation of Darrens sales...Ch. 6 - This exercise is a continuation of the Platonic...Ch. 6 - Prob. 45ECh. 6 - Prob. 46ECh. 6 - Find the cheapest-link tour and give its cost for...Ch. 6 - Find the cheapest-link tour for the social worker...Ch. 6 - For the Brute-Force Bandits concert tour discussed...Ch. 6 - For the weighted graph shown in Fig.6-47, find the...Ch. 6 - For Darrens sales trip problem discussed in...Ch. 6 - For the Platonic Cowboys concert tour discussed in...Ch. 6 - A rover on the planet Mercuria has to visit six...Ch. 6 - A robotic laser must drill holes on five sites A,...Ch. 6 - Prob. 55ECh. 6 - Prob. 56ECh. 6 - Suppose that in solving a TSP you find an...Ch. 6 - Prob. 58ECh. 6 - Prob. 59ECh. 6 - Prob. 60ECh. 6 - Prob. 61ECh. 6 - If the number of edges in K500 is x and the number...Ch. 6 - Explain why the cheapest edge in any graph is...Ch. 6 - a. Explain why the graph that has a bridge cannot...Ch. 6 - Julie is the marketing manager for a small...Ch. 6 - 66. m by n grid graphs. An m by n grid graph...Ch. 6 - Complete bipartite graphs. A complete bipartite...Ch. 6 - Prob. 68ECh. 6 - Diracs theorem. If G is a connected graph with N...
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