EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 54, Problem 24A
Solve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute.
a. If Dia A = 3.756" and Dia B = 1.622", find x.
b. If x = 0.975" and Dia B = 1.026", find Dia A.
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Assume that a company is considering purchasing a machine for $50,000 that will have a five-year useful life and a $5,000 salvage value. The
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7. [10 marks]
Let G
=
(V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a
cycle in G on which x, y, and z all lie.
(a) First prove that there are two internally disjoint xy-paths Po and P₁.
(b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which
x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that
there are three paths Qo, Q1, and Q2 such that:
⚫each Qi starts at z;
• each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are
distinct;
the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex
2) and are disjoint from the paths Po and P₁ (except at the end vertices wo,
W1, and w₂).
(c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and
z all lie. (To do this, notice that two of the w; must be on the same Pj.)
Chapter 54 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 54 - A pipe has an inside circumference of 82.50 mm and...Ch. 54 - Determine the length of AB, AC, and ED. Round the...Ch. 54 - Prob. 3ACh. 54 - What is the complement of a 7221'47" angle?Ch. 54 - Prob. 5ACh. 54 - Prob. 6ACh. 54 - Determine the unknown value for each of the...Ch. 54 - Determine the unknown value for each of the...Ch. 54 - Determine the unknown value for each of the...Ch. 54 - Determine the unknown value for each of the...
Ch. 54 - Determine the unknown value for each of the...Ch. 54 - Determine the unknown value for each of the...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Prob. 23ACh. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Prob. 29ACh. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...Ch. 54 - Solve the following exercises based on Principles...
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