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Answered: Time in hours. $0 E B(4) activity…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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#46. Use a table of values to graph the functions given on the same grid. Make comments on what you observe. Include the table and observations.
#13
6. Experiments indicate the braking distance, d, before a car comes to rest from a speed , ν (Table 2). v/ mph d/ metres 20 40 60 14 36 72 Table 2: Braking distances for various speeds It is believed that the relation between braking distance and speed can be modelled by a quadratic function, d = a+bv+ev² . (i) (ii) (iii) Use the given data to obtain 3 equations. What are the unknowns? Solve the set of equations using Cramer's rule. What is the expected braking distance for a speed of 30 mph?
12. State if the function is a linear function. If it is NOT explain why it is NOT a linear function. (a) f(x) = x (b) f(x) = 4 –r 4 (c) f(x) =+2 3x (d) f(x) = x+1 (e) f(x) = – 7?
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graph f(x - 4) - 5 below
1. Henri Roulant (of "Roulant's Band") recently broke into acting. Henri realizes that the number of tickets that will be bought for opening night of the his movie premiere is a function of the amount money spent on advertising the week leading up to the movie. Let T(d) be the number of tickets that will be bought for opening night if d dollars are spent on advertising that week. Henri models T(d) using the formula T(d) = 20 log(d+ 20) + 400. For any equations that need to be solved in this problem, make sure that you solve them algebraically by hand, showing each step in the process. Give you answers both in exact form and rounded in a way that makes sense in the context of the problem. a) How many tickets does Henri expect will be bought if no money is spent on advertising during that week? b) How many tickets does Henri expect will be bought if $18, 880 are spent on advertising during that week? c) The movie is a success if 600 tickets are sold. How much money does Henri's model…
6. The function w(y) = -0.01y? + 0.27y+8.6 can be used to esimate the number of self-employed workers in the United States, in millions, y years after 1980 (d) Find how many self-employed workers the model predicts will there be in 2010. (e) What year(s) does the model predict has the most number of self-employed workers? How many self employed workers will there be in that year. (f) Find what the model predicts for the number of self-employed workers in 2026. Is this a good model for the year 2026 and beyond? Explain
Could you help me solve questions D,E, and F please?
PART ONE: f(x) = ab* ➤ In this part, you are going to explore the behavior of the function using various values of the parameters a & b. 1. When will the function have the following properties: x → ∞o, y → 0 Describe the parameters a & b that leads to the property above. Follow up: Print three functions of this type on one Cartesian Plane. Make sure to correctly label the functions. 2. When will the function have the following properties: x →∞o, y co Describe the parameters a & b that leads to the property above. Follow up: Print three functions of this type on one Cartesian Plane. Make sure to correctly label the functions. 3. The first two questions only covered the "two types". In fact, there are "four types" of f(x) = ab* in terms of "trend". You are tasked to explore the other two. TASK: Upon exploration, make a detailed summary of the relationships of the "four types".
7. York Region introduced a program to support the population of deer in its forests. After t years of protection, the deer population in York Region can be modelled by the function P(t)= (t²-2t-35)² + 2000. (a) Find the deer population at the beginning of the protection program. (b) Find the maximum deer population over the 10 years of the protection program.
10. Write a linear equation to model each function below. (a) g(x) shown on the graph below. g(x) 150 -5 100 50 -2 0 -50- (b) n(x) where (-2, 1) and (4,-2) lie on the graph of n(1). (c) q(r) defined by the table below. -1 0 2 q(x) 5 - 3 1 X 3 -1

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Time in hours. $0 E B(4) activity Schedule network F(2) D (3) H(4) k3 G(s) ~ I (3) J(3) art A(17( (30 which activities have a float time. W2) 0