Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

12th Edition

ISBN: 9780134767628

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Textbook Question

Chapter 2.2, Problem 77E

Olympic 5000-Meters The accompanying graph shows the winning time (in minutes) at the Olympic Games from 1952 to 2016 for the men's 5000-meterrun, together with a linear approximation of these data. (Data from: The WorldAlmanac and Book of Facts: 2017.)

Chapter 2.2, Problem 77E, Olympic 5000-Meters The accompanying graph shows the winning time (in minutes) at the Olympic Games

The equation for the linear approximation is y = − .0135 x + 40.32 , where x is the actual year.

Luxury Handbags MichaelKors now dominates the handbag market in North America. In 2011, the company had 5% of the market;in 2015, it had 23%. (Data from: The Wall Street Journal.)

a. Write a linear equation expressing the percentage of the luxury handbag market y that Michael Kors had x years after 2000.

b. What was the percentage of the market that Michael Kors had in 2013?

c. If the trend continues, what will be the first full year in which Michael Kors had 30% of the market?

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Chapter 2.2, Problem 76E

Chapter 2.2, Problem 78E

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7. [10 marks] Let G = (V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a cycle in G on which x, y, and z all lie. (a) First prove that there are two internally disjoint xy-paths Po and P₁. (b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that there are three paths Qo, Q1, and Q2 such that: ⚫each Qi starts at z; • each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are distinct; the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex 2) and are disjoint from the paths Po and P₁ (except at the end vertices wo, W1, and w₂). (c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and z all lie. (To do this, notice that two of the w; must be on the same Pj.)

Chapter 2 Solutions

Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

Ch. 2.1 - Checkpoint 1 Locate and (−5,0) on a coordinate...Ch. 2.1 - Checkpoint 2 Which of the following are solutions...Ch. 2.1 - Checkpoint 3 Graph Ch. 2.1 - Checkpoint 4 Find the x- and y-intercepts of the...Ch. 2.1 - Checkpoint 5 From Figure 2.7 determine when the...Ch. 2.1 - Checkpoint 6 In Example 6, find the profit from...Ch. 2.1 - Checkpoint 7 Use a graphing calculator to graph ...Ch. 2.1 - Checkpoint 8 Use a graphical root finder to...Ch. 2.1 - State the quadrant in which each point lies. 1. Ch. 2.1 - State the quadrant in which each point lies. 2.

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