EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Textbook Question
Chapter 9, Problem 15A
In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0.0001; 0.001; 0.01; 0.1; 10; 100; 1000; or 10,000 in order to obtain the value on the right of the equal sign. Determine the proper number.
15.
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Calculs Insights
πT
| cos x |³ dx
59
2
2. Consider the ODE
u' = ƒ (u) = u² + r
where r is a parameter that can take the values r = −1, −0.5, -0.1, 0.1. For each value of r:
(a) Sketch ƒ(u) = u² + r and determine the equilibrium points.
(b) Draw the phase line.
(d) Determine the stability of the equilibrium points.
(d) Plot the direction field and some sample solutions,i.e., u(t)
(e) Describe how location of the equilibrium points and their stability change as you increase the
parameter r.
(f) Using the matlab program phaseline.m generate a solution for each value of r and the initial
condition u(0) = 0.9. Print and turn in your result for r = −1. Do not forget to add a figure caption.
(g) In the matlab program phaseline.m set the initial condition to u(0) = 1.1 and simulate the ode
over the time interval t = [0, 10] for different values of r. What happens? Why? You do not need to
turn in a plot for (g), just describe what happens.
True or False and why
Chapter 9 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 9 - Use Figure 9-4 to answer Exercises 16. All...Ch. 9 - Use Figure 9-4 to answer Exercises 16. All...Ch. 9 - Use Figure 9-4 to answer Exercises 16. All...Ch. 9 - Use Figure 9-4 to answer Exercises 16. All...Ch. 9 - Use Figure 9-4 to answer Exercises 16. All...Ch. 9 - Use Figure 9-4 to answer Exercises 16. All...Ch. 9 - Find the decimal value of each of the distances A,...Ch. 9 - Find the decimal value of each of the distances A,...Ch. 9 - Find the decimal value of each of the distances A,...Ch. 9 - In each of the following exercises, the value on...
Ch. 9 - In each of the following exercises, the value on...Ch. 9 - In each of the following exercises, the value on...Ch. 9 - In each of the following exercises, the value on...Ch. 9 - In each of the following exercises, the value on...Ch. 9 - In each of the following exercises, the value on...Ch. 9 - In each of the following exercises, the value on...Ch. 9 - In each of the following exercises, the value on...Ch. 9 - In each of the following exercises, the value on...Ch. 9 - In each of the following exercises, the value on...Ch. 9 - Write these numbers as words. 20. 0.064Ch. 9 - Write these numbers as words. 21. 0.007Ch. 9 - Write these numbers as words. 22. 0.132Ch. 9 - Write these numbers as words. 23. 0.0035Ch. 9 - Write these numbers as words. 24. 0.108Ch. 9 - Write these numbers as words. 25. 1.5Ch. 9 - Write these numbers as words. 26. 10.37Ch. 9 - Write these numbers as words. 27. 16.0007Ch. 9 - Write these numbers as words. 28. 4.0012Ch. 9 - Write these numbers as words. 29. 13.103Ch. 9 - Write these words as numbers. 30. eighty-four...Ch. 9 - Write these words as numbers. 31. three tenthsCh. 9 - Write these words as numbers. 32. forty-three and...Ch. 9 - Write these words as numbers. 33. four and five...Ch. 9 - Write these words as numbers. 34. thirty-five...Ch. 9 - Write these words as numbers. 35. ten and two...Ch. 9 - Write these words as numbers. 36. five and one...Ch. 9 - Write these words as numbers. 37. twenty and...Ch. 9 - Write these numbers as words using the alternative...Ch. 9 - Write these numbers as words using the alternative...Ch. 9 - Write these numbers as words using the alternative...Ch. 9 - Write these numbers as words using the alternative...Ch. 9 - Write these numbers as words using the alternative...Ch. 9 - Write these numbers as words using the alternative...Ch. 9 - Write these numbers as words using the alternative...Ch. 9 - Write these numbers as words using the alternative...Ch. 9 - Write these words as numbers. 46. forty-three and...Ch. 9 - Write these words as numbers. 47. fourteen and...Ch. 9 - Write these words as numbers. 48. thirty-seven and...Ch. 9 - Write these words as numbers. 49. one hundred six...Ch. 9 - Write these words as numbers. 50. seventy-six...Ch. 9 - Write these words as numbers. 51. four and one...Ch. 9 - Each of the following common fractions has a...Ch. 9 - Each of the following common fractions has a...Ch. 9 - Each of the following common fractions has a...Ch. 9 - Each of the following common fractions has a...Ch. 9 - Each of the following common fractions has a...Ch. 9 - Each of the following common fractions has a...Ch. 9 - Each of the following common fractions has a...Ch. 9 - Each of the following common fractions has a...Ch. 9 - Each of the following common fractions has a...
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