Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 11, Problem 3A
Express the decimal fraction 0.2472 as a common fraction in lowest terms.
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A graph G of order 12 has vertex set V(G) = {c1, c2, …, c12} for the twelve configurations inFigure 1.4. A “move” on this checkerboard corresponds to moving a single coin to anunoccupied square, where(1) the gold coin can only be moved horizontally or diagonally,(2) the silver coin can only be moved vertically or diagonally.Two vertices ci and cj (i ≠ j) are adjacent if it is possible to move ci to cj by a single move.
(a) What vertices are adjacent to c1 in G?(c) Draw the subgraph of G induced by {c2, c6, c9, c11}.
i) Consider the set S = {−6, −3, 0, 3, 6}. Draw a graph G whose set of verti-
ces be S and such that for i, j ∈ S, ij ∈ E(G) if ij are related to a rule that t'u
you choose to apply to i and j.
(ii) A graph G of order 12 has as a set of vertices c1, c2, . . . , c12 for the do-
ce configurations of figure 1. A movement on said board corresponds to moving a
coin to an unoccupied square using the following two rules:
1. the gold coin can move only horizontally or diagonally,
2. the silver coin can move only vertically or diagonally.
Two vertices ci, cj, i̸ = j are adjacent if it is possible to move ci to cj in a single movement.
a) What vertices are adjacent to c1 in G?
b) Draw the subgraph induced by {c2, c6, c9, c11}
Chapter 11 Solutions
Mathematics For Machine Technology
Ch. 11 - Round 0.53745 to 3 decimal places.Ch. 11 - Express the common fraction 916as a decimal...Ch. 11 - Express the decimal fraction 0.2472 as a common...Ch. 11 - Determine the quotient of 234158 . Use Figure 113...Ch. 11 - Prob. 5ACh. 11 - After the five pieces have been cut from the round...Ch. 11 - Add the numbers in Exercises 7 through 9. 7.a....Ch. 11 - Add the numbers in Exercises 7 through 9. 8.a....Ch. 11 - Prob. 9ACh. 11 - Prob. 10A
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