EXCURSIONS IN MODERN MATH
5th Edition
ISBN: 9781323741559
Author: Tannenbaum
Publisher: PEARSON C
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Chapter 5, Problem 49E
To determine
To find:
The optimal semi-eulerization for the given graph.
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The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 40 feet in radius. Your ball is located as in the picture below. The ball follows a straight line path and exits the green at the right-most edge. Assume the ball travels 8 ft/sec.
Introduce coordinates so that the cup is the origin of an xy-coordinate system and start by writing down the equations of the circle and the linear path of the ball. Provide numerical answers below with two decimal places of accuracy.
50 feet
green
ball
40 feet
9
cup
ball path
rough
(a) The x-coordinate of the position where the ball enters the green will be
(b) The ball will exit the green exactly
seconds after it is hit.
(c) Suppose that L is a line tangent to the boundary of the golf green and parallel to the path of the ball. Let Q be the point where the line is tangent to the circle. Notice that there are two possible positions for Q. Find the possible x-coordinates of Q:
smallest x-coordinate =…
Chapter 5 Solutions
EXCURSIONS IN MODERN MATH
Ch. 5 - For the graph shown in Fig 5-29, a.give the vertex...Ch. 5 - For the graph shown in Fig. 5-30, a.give the...Ch. 5 - For the graph shown in Fig. 5-31, 1.give the...Ch. 5 - For the graph shown in Fig. 5-32, a.give the...Ch. 5 - Consider the graph with vertex set {K,R,S,T,W} and...Ch. 5 - Consider the graph with vertex set {A,B,C,D,E} and...Ch. 5 - Consider the graph with vertex set {A,B,C,D,E} and...Ch. 5 - Consider the graph with vertex set {A,B,C,X,Y,Z}...Ch. 5 - a.Give an example of a connected graph with eight...Ch. 5 - a.Give an example of a connected graph with eight...
Ch. 5 - Consider the graph in Fig. 5-33. a. Find a path...Ch. 5 - Consider the graph in Fig. 5-33. a. Find a path...Ch. 5 - Consider the graph in Fig. 5-33. a. Find all...Ch. 5 - Consider the graph in Fig 5-34 a.Find all circuits...Ch. 5 - List all the bridges in each of the following...Ch. 5 - List all the bridges in each of the following...Ch. 5 - Consider the graph in Fig 5-35. a. List all the...Ch. 5 - Consider the graph in Fig 5-36. a. List all the...Ch. 5 - Figure 5-37 shows a map of the downtown area of...Ch. 5 - Figure 5-38 is a map of downtown Royalton, showing...Ch. 5 - A night watchman must walk the streets of the...Ch. 5 - A mail carrier must deliver mail on foot along the...Ch. 5 - Six teams (A,B,C,D,E,andF) are entered in a...Ch. 5 - The Kangaroo Lodge of Madison Country has 10...Ch. 5 - Table 5-3 summarizes the Facebook friendships...Ch. 5 - The Dean of students office wants to know how the...Ch. 5 - Figure 5-40 shows the downtown area of the small...Ch. 5 - Prob. 28ECh. 5 - In Exercise 29 through 34 choose from the...Ch. 5 - In Exercise 29 through 34 choose from the...Ch. 5 - In Exercise 29 through 34 choose from the...Ch. 5 - In Exercises 29 through 34 choose from the...Ch. 5 - In Exercise 29 through 34 choose from the...Ch. 5 - In Exercise 29 through 34 choose from the...Ch. 5 - Find the Euler circuit for the graph in Fig.5-47....Ch. 5 - Find the Euler circuit for the graph in Fig.5.48_....Ch. 5 - Find the Euler path for the graph in Fig.5-49_....Ch. 5 - Find the Euler path for the graph in Fig.5-50....Ch. 5 - Find an Euler circuit for the graph in Fig 5-51....Ch. 5 - Find the Euler circuit for the graph in Fig 5-52....Ch. 5 - Suppose you are using Fleurys algorithm to find an...Ch. 5 - Suppose you are using Fleurys algorithm to find an...Ch. 5 - Find an optimal eulerization for the graph in Fig...Ch. 5 - Find an optimal eulerization for the graph in Fig....Ch. 5 - Find an optimal eulerization for the graph in Fig....Ch. 5 - Find an optimal eulerization for the graph in Fig...Ch. 5 - Find an optimal semi-eulerization for the graph in...Ch. 5 - Find an optimal semi-eulerization for the graph in...Ch. 5 - Prob. 49ECh. 5 - Prob. 50ECh. 5 - Prob. 51ECh. 5 - Prob. 52ECh. 5 - A security guard must patrol on foot the streets...Ch. 5 - A mail carrier must deliver mail on foot along the...Ch. 5 - This exercise refers to the Fourth of July parade...Ch. 5 - This exercise refers to the Fourth of July parade...Ch. 5 - Consider the following puzzle: You must trace Fig...Ch. 5 - a.Explain why in every graph the sum of the...Ch. 5 - Prob. 59ECh. 5 - Regular graphs. A graph is called regular if every...Ch. 5 - Suppose G is a disconnected graph with exactly two...Ch. 5 - Consider the following game. You are given N...Ch. 5 - Figure 5-59 shows a map of the downtown area of...Ch. 5 - Kissing circuits. When two circuits in a graph...Ch. 5 - Prob. 65ECh. 5 - Exercises 66 through 68 refer to Example 5.23 . In...Ch. 5 - Exercises 66 through 68 refer to Example 5.23 . In...Ch. 5 - Exercises 66 through 68 refer to Example 5.23 . In...Ch. 5 - This exercise comes to you courtesy of Euler...Ch. 5 - Running Suppose G is a connected graph with N...Ch. 5 - Running Suppose G is a connected graph with N2...Ch. 5 - Running Complete bipartite graphs. A complete...Ch. 5 - Running Suppose G is a simple graph with N...
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