MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE

11th Edition

ISBN: 9781323751671

Author: Lial

Publisher: PEARSON C

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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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Matrix MЄ R4×4, as specified below, is an orthogonal matrix - thus, it fulfills MTM = I. M (ELES),- m2,1. We know also that all the six unknowns mr,c are non-negative with the exception of Your first task is to find the values of all the six unknowns. Think first, which of the mr,c you should find first. Next, consider a vector v = (-6, 0, 0, 8) T. What's the length of v, i.e., |v|? Using M as transformation matrix, map v onto w by w = Mv provide w with its numeric values. What's the length of w, especially when comparing it to the length of v? Finally, consider another vector p = ( 0, 0, 8, 6) T. What's the angle between v (from above) and p? Using M as transformation matrix, map p onto q by q = Mp - provide q with its numeric values. What's the angle between w and q, especially when comparing it to the angle between v and p?

(c) Find the harmonic function on the annular region Q = {1 < r < 2} satisfying the boundary conditions given by U (1, 0) = 1, U(2, 0) 1+15 sin (20). =

Question 3 (a) Find the principal part of the PDE AU + UÃ + U₁ + x + y = 0 and determine whether it's hyperbolic, elliptic or parabolic. (b) Prove that if U(r, 0) solves the Laplace equation in R², then so is V(r, 0) = U (², −0). (c) Find the harmonic function on the annular region = {1 < r < 2} satisfying the boundary conditions given by U(1, 0) = 1, U(2, 0) = 1 + 15 sin(20). [5] [7] [8]

Chapter 2 Solutions

MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE

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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