Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 31, Problem 4A
Express 87.6 inches as feet.
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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 31 Solutions
Mathematics For Machine Technology
Ch. 31 - Measure this line segment to the nearest 164.Ch. 31 - A hole has a diameter of 13.741 mm 0.002mm+0.005mm...Ch. 31 - For the measurement 74.38 mm, find (a) the degree...Ch. 31 - Express 87.6 inches as feet.Ch. 31 - If 1450 parts can be produced in 15.35 hours, how...Ch. 31 - Prob. 6ACh. 31 - Read the decimal-inch vernier caliper measurements...Ch. 31 - Read the decimal-inch vernier caliper measurements...Ch. 31 - Read the decimal-inch vernier caliper measurements...Ch. 31 - Read the decimal-inch vernier caliper measurements...
Ch. 31 - Read the decimal-inch vernier caliper measurements...Ch. 31 - Prob. 12ACh. 31 - Read the decimal-inch vernier caliper measurements...Ch. 31 - Read the decimal-inch vernier caliper measurements...Ch. 31 - Prob. 15ACh. 31 - The tables for Exercises 15 and 16 give the...Ch. 31 - In Exercises 17 and 18, refer to the following...Ch. 31 - In Exercises 17 and 18, refer to the following...Ch. 31 - The distance between the centers of two holes can...Ch. 31 - The distance between the centers of two holes can...Ch. 31 - Prob. 21ACh. 31 - Prob. 22ACh. 31 - The distance between the centers of two holes can...Ch. 31 - Read height gage measurement settings in Exercises...Ch. 31 - Read height gage measurement settings in Exercises...Ch. 31 - The hole locations of the block in Figure 31-11...
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- 10 5 Obtain by multiplying matrices the composite coordinate transformation of two transformations, first x' = (x + y√√2+2)/2 y' = z' (x√√2-2√2)/2 z = (-x+y√√2-2)/2 followed by x" = (x'√√2+z'√√2)/2 y" = (-x'y'√√2+2')/2 z" = (x'y'√√2-2')/2.arrow_forwardNot use ai pleasearrow_forward4 The plane 2x+3y+ 6z = 6 intersects the coordinate axes at P, Q, and R, forming a triangle. Draw a figure and identify the three points on it. Also find vectors PQ and PR. Write a vector formula for the area of the triangle PQR and find its value.arrow_forward
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- 5 Obtain by multiplying matrices the composite coordinate transformation of two transformations, first x' = (x + y√2+ z)/2 followed by y' = (x√√2-2√2)/2 z' = (-x+y√2-2)/2 x" = y" 2" = (x'√√2+2'√√2)/2 (-x'y'√√2+)/2 (x'y' √√2-z)/2.arrow_forwardWhat is the answer in 10.3arrow_forward4 The plane 2x + 3y+ 6z = 6 intersects the coordinate axes at P, Q, and R, forming a triangle. Draw a figure and identify the three points on it. Also find vectors PQ and PR. Write a vector formula for the area of the triangle PQR and find its value.arrow_forward
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