Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 69, Problem 26A
Find ∠ x.
All dimensions are in millimeters.
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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 69 Solutions
Mathematics For Machine Technology
Ch. 69 - Determine the sizes of Aand Bto the nearest...Ch. 69 - Write the cofunction of the complement of the...Ch. 69 - Determine sec 14.8527 rounded to 5 decimal places.Ch. 69 - A steel forging in the shape of a right circular...Ch. 69 - Prob. 5ACh. 69 - The legs of a right triangle are 718 and 912 ....Ch. 69 - Determine the height of gage blocks required to...Ch. 69 - Determine the height of gage blocks required to...Ch. 69 - In Exercises 9 and 10, determine the height of...Ch. 69 - In Exercises 9 and 10, determine the height of...
Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Find center distance y. All dimensions are in...Ch. 69 - Find inside caliper dimension x. All dimensions...Ch. 69 - Find radius r. All dimensions are in millimeters.Ch. 69 - Find arc dimension x. All dimensions are in...Ch. 69 - Find the depth of cut x. All dimensions are in...Ch. 69 - Find x. All dimensions are in inches.Ch. 69 - Find gage dimension y. All dimensions are in...Ch. 69 - Find y. All dimensions are in inches.Ch. 69 - Find gage dimension x. All dimensions are in...Ch. 69 - Find x. All dimensions are in millimeters.Ch. 69 - Find dimension y. All dimensions are in inches.Ch. 69 - Find y. All dimensions are in inches.Ch. 69 - Find dimension x. All dimensions are in...Ch. 69 - Find x. All dimensions are in inchesCh. 69 - Find distance y. All dimensions are in millimetersCh. 69 - Find dimension y. All dimensions are in inchesCh. 69 - The length L of the point drill with included...Ch. 69 - Determine the lengths of A and B. Round the...
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