Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 74, Problem 10A
In each of the following exercises a diagonal is shown within a rectangular solid
a. Compute the true length of diagonal AB.
b. Compute
Given:
Use this figure for Exercises 9 and 10.
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Chapter 74 Solutions
Mathematics For Machine Technology
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- Let G be a connected graph with n ≥ 2 vertices. Let A be the adjacency matrix of G. Prove that the diameter of G is the least number d such that all the non-diagonal entries of the matrix A are positive.arrow_forward8. [10 marks] Suppose that 15 people are at a dinner and that each person knows at least 9 of the others. Can the diners be seated around a circular table so that each person knows both of their immediate neighbors? Explain why your answer is correct.arrow_forward9. [10 marks] Consider the following graph G. (a) Find the Hamilton closure of G. Explain why your answer is correct. (b) Is G Hamiltonian? Explain why your answer is correct.arrow_forward
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- Let T be a tree with n vertices. Let k be the maximum degree of a vertex of T. Let l be the length of the longest path in T. Prove that l ≤ n − k +1.arrow_forwardNo chatgpt pls will upvotearrow_forwardDetermine the number of automorphisms of the following graph. Explain why your answer is correct.arrow_forward
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