Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter SH, Problem 8.1.2EP
To determine
To calculate: To determine whether the relation is function or not.
Expert Solution & Answer
Answer to Problem 8.1.2EP
Relation is NOT a function
Explanation of Solution
Given information: Relation is
| x | 6 | 8 | 6 | 7 |
| y | 4 | 3 | 9 | 1 |
Formula Used:
A function is the set of ordered pairs in which each x-element has only one y-element associated with it.
Calculation:
Relation is given as
| x | 6 | 8 | 6 | 7 |
| y | 4 | 3 | 9 | 1 |
Consider each x-element
Since, one x-element has more than one y-element associated with it, therefore the relation is NOT a function
Conclusion:
Hence, relation is NOT a function.
Chapter SH Solutions
Pre-Algebra Student Edition
Ch. SH - Prob. 1.1.1EPCh. SH - Prob. 1.1.2EPCh. SH - Prob. 1.1.3EPCh. SH - Prob. 1.1.4EPCh. SH - Prob. 1.1.5EPCh. SH - Prob. 1.1.6EPCh. SH - Prob. 1.1.7EPCh. SH - Prob. 1.1.8EPCh. SH - Prob. 1.1.9EPCh. SH - Prob. 1.1.10EP
Ch. SH - Prob. 1.1.11EPCh. SH - Prob. 1.1.12EPCh. SH - Prob. 1.1.13EPCh. SH - Prob. 1.1.14EPCh. SH - Prob. 1.1.15EPCh. SH - Prob. 1.2.1EPCh. SH - Prob. 1.2.2EPCh. SH - Prob. 1.2.3EPCh. SH - Prob. 1.2.4EPCh. SH - Prob. 1.2.5EPCh. SH - Prob. 1.2.6EPCh. SH - Prob. 1.2.7EPCh. SH - Prob. 1.2.8EPCh. SH - Prob. 1.2.9EPCh. SH - Prob. 1.2.10EPCh. SH - Prob. 1.2.11EPCh. SH - Prob. 1.2.12EPCh. SH - Prob. 1.2.13EPCh. SH - Prob. 1.2.14EPCh. SH - Prob. 1.2.15EPCh. SH - Prob. 1.2.16EPCh. SH - Prob. 1.2.17EPCh. SH - Prob. 1.2.18EPCh. SH - Prob. 1.3.1EPCh. SH - Prob. 1.3.2EPCh. SH - Prob. 1.3.3EPCh. SH - Prob. 1.3.4EPCh. SH - Prob. 1.3.5EPCh. SH - Prob. 1.3.6EPCh. SH - Prob. 1.3.7EPCh. SH - Prob. 1.3.8EPCh. SH - Prob. 1.3.9EPCh. SH - Prob. 1.3.10EPCh. SH - Prob. 1.3.11EPCh. SH - Prob. 1.3.12EPCh. SH - Prob. 1.4.1EPCh. SH - Prob. 1.4.2EPCh. SH - Prob. 1.4.3EPCh. SH - Prob. 1.4.4EPCh. SH - Prob. 1.4.5EPCh. SH - Prob. 1.4.6EPCh. SH - Prob. 1.4.7EPCh. SH - Prob. 1.4.8EPCh. SH - Prob. 1.5.1EPCh. SH - Prob. 1.5.2EPCh. SH - Prob. 1.6.1EPCh. SH - Prob. 1.6.2EPCh. SH - Prob. 1.6.3EPCh. SH - Prob. 1.6.4EPCh. SH - Prob. 2.1.1EPCh. SH - Prob. 2.1.2EPCh. SH - Prob. 2.1.3EPCh. SH - Prob. 2.1.4EPCh. SH - Prob. 2.1.5EPCh. SH - Prob. 2.1.6EPCh. SH - Prob. 2.1.7EPCh. SH - Prob. 2.1.8EPCh. SH - Prob. 2.1.9EPCh. SH - Prob. 2.1.10EPCh. SH - Prob. 2.1.11EPCh. SH - Prob. 2.1.12EPCh. SH - Prob. 2.1.13EPCh. SH - Prob. 2.1.14EPCh. SH - Prob. 2.1.15EPCh. SH - Prob. 2.1.16EPCh. SH - Prob. 2.1.17EPCh. SH - Prob. 2.1.18EPCh. SH - Prob. 2.1.19EPCh. SH - Prob. 2.1.20EPCh. SH - Prob. 2.1.21EPCh. SH - Prob. 2.1.22EPCh. SH - Prob. 2.1.23EPCh. SH - Prob. 2.1.24EPCh. SH - Prob. 2.1.25EPCh. SH - Prob. 2.1.26EPCh. SH - Prob. 2.1.27EPCh. SH - Prob. 2.2.1EPCh. SH - Prob. 2.2.2EPCh. SH - Prob. 2.2.3EPCh. SH - Prob. 2.2.4EPCh. SH - Prob. 2.2.5EPCh. SH - Prob. 2.2.6EPCh. SH - Prob. 2.2.7EPCh. SH - Prob. 2.2.8EPCh. SH - Prob. 2.2.9EPCh. SH - Prob. 2.2.10EPCh. SH - Prob. 2.2.11EPCh. SH - Prob. 2.2.12EPCh. SH - Prob. 2.2.13EPCh. SH - Prob. 2.2.14EPCh. SH - Prob. 2.2.15EPCh. SH - Prob. 2.2.16EPCh. SH - Prob. 2.2.17EPCh. SH - Prob. 2.2.18EPCh. SH - Prob. 2.3.1EPCh. SH - Prob. 2.3.2EPCh. SH - Prob. 2.3.3EPCh. SH - Prob. 2.3.4EPCh. SH - Prob. 2.3.5EPCh. SH - Prob. 2.3.6EPCh. SH - Prob. 2.3.7EPCh. SH - Prob. 2.3.8EPCh. SH - Prob. 2.3.9EPCh. SH - Prob. 2.3.10EPCh. SH - Prob. 2.3.11EPCh. SH - Prob. 2.3.12EPCh. SH - Prob. 2.3.13EPCh. SH - Prob. 2.3.14EPCh. SH - Prob. 2.3.15EPCh. SH - Prob. 2.3.16EPCh. SH - Prob. 2.3.17EPCh. SH - Prob. 2.3.18EPCh. SH - Prob. 2.3.19EPCh. SH - Prob. 2.3.20EPCh. SH - Prob. 2.3.21EPCh. SH - Prob. 2.3.22EPCh. SH - Prob. 2.3.23EPCh. SH - Prob. 2.3.24EPCh. SH - Prob. 2.3.25EPCh. SH - Prob. 2.3.26EPCh. SH - Prob. 2.4.1EPCh. SH - Prob. 2.4.2EPCh. SH - Prob. 2.4.3EPCh. SH - Prob. 2.4.4EPCh. SH - Prob. 2.4.5EPCh. SH - Prob. 2.4.6EPCh. SH - Prob. 2.4.7EPCh. SH - Prob. 2.4.8EPCh. SH - Prob. 2.4.9EPCh. SH - Prob. 2.4.10EPCh. SH - Prob. 2.4.11EPCh. SH - Prob. 2.4.12EPCh. SH - Prob. 2.4.13EPCh. SH - Prob. 2.4.14EPCh. SH - Prob. 2.4.15EPCh. SH - Prob. 2.4.16EPCh. SH - Prob. 2.4.17EPCh. SH - Prob. 2.4.18EPCh. SH - Prob. 2.4.19EPCh. SH - Prob. 2.4.20EPCh. SH - Prob. 2.4.21EPCh. SH - Prob. 2.4.22EPCh. SH - Prob. 2.4.23EPCh. SH - Prob. 2.4.24EPCh. SH - Prob. 2.5.1EPCh. SH - Prob. 2.5.2EPCh. SH - Prob. 2.5.3EPCh. SH - Prob. 2.5.4EPCh. SH - Prob. 2.5.5EPCh. SH - Prob. 2.5.6EPCh. SH - Prob. 2.5.7EPCh. SH - Prob. 2.5.8EPCh. SH - Prob. 2.5.9EPCh. SH - Prob. 2.5.10EPCh. SH - Prob. 2.5.11EPCh. SH - Prob. 2.5.12EPCh. SH - Prob. 2.5.13EPCh. SH - Prob. 2.5.14EPCh. SH - Prob. 2.5.15EPCh. SH - Prob. 2.5.16EPCh. SH - Prob. 2.5.17EPCh. SH - Prob. 2.5.18EPCh. SH - Prob. 2.5.19EPCh. SH - Prob. 2.5.20EPCh. SH - Prob. 2.5.21EPCh. SH - Prob. 2.5.22EPCh. SH - Prob. 2.5.23EPCh. SH - Prob. 2.5.24EPCh. SH - Prob. 2.5.25EPCh. SH - Prob. 2.5.26EPCh. SH - Prob. 2.5.27EPCh. SH - Prob. 2.5.28EPCh. SH - Prob. 2.5.29EPCh. SH - Prob. 2.5.30EPCh. SH - Prob. 2.5.31EPCh. SH - Prob. 2.5.32EPCh. SH - Prob. 2.5.33EPCh. SH - Prob. 2.6.1EPCh. SH - Prob. 2.6.2EPCh. SH - Prob. 2.6.3EPCh. SH - Prob. 2.6.4EPCh. SH - Prob. 2.6.5EPCh. SH - Prob. 2.6.6EPCh. SH - Prob. 2.6.7EPCh. SH - Prob. 2.6.8EPCh. SH - Prob. 2.6.9EPCh. SH - Prob. 2.6.10EPCh. SH - Prob. 2.6.11EPCh. SH - Prob. 2.6.12EPCh. SH - Prob. 2.6.13EPCh. SH - Prob. 2.6.14EPCh. SH - Prob. 2.7.1EPCh. SH - Prob. 2.7.2EPCh. SH - Prob. 2.7.3EPCh. SH - Prob. 2.7.4EPCh. SH - Prob. 2.7.5EPCh. SH - Prob. 3.1.1EPCh. SH - Prob. 3.1.2EPCh. SH - Prob. 3.1.3EPCh. SH - Prob. 3.1.4EPCh. SH - Prob. 3.1.5EPCh. SH - Prob. 3.1.6EPCh. SH - Prob. 3.1.7EPCh. SH - Prob. 3.1.8EPCh. SH - Prob. 3.1.9EPCh. SH - Prob. 3.1.10EPCh. SH - Prob. 3.1.11EPCh. SH - Prob. 3.1.12EPCh. SH - Prob. 3.1.13EPCh. SH - Prob. 3.1.14EPCh. SH - Prob. 3.1.15EPCh. SH - Prob. 3.1.16EPCh. SH - Prob. 3.1.17EPCh. SH - Prob. 3.1.18EPCh. SH - Prob. 3.1.19EPCh. SH - Prob. 3.1.20EPCh. SH - Prob. 3.2.1EPCh. SH - Prob. 3.2.2EPCh. SH - Prob. 3.2.3EPCh. SH - Prob. 3.2.4EPCh. SH - Prob. 3.2.5EPCh. SH - Prob. 3.2.6EPCh. SH - Prob. 3.2.7EPCh. SH - Prob. 3.2.8EPCh. SH - Prob. 3.2.9EPCh. SH - Prob. 3.2.10EPCh. SH - Prob. 3.2.11EPCh. SH - Prob. 3.2.12EPCh. SH - Prob. 3.2.13EPCh. SH - Prob. 3.2.14EPCh. SH - Prob. 3.2.15EPCh. SH - Prob. 3.2.16EPCh. SH - Prob. 3.3.1EPCh. SH - Prob. 3.3.2EPCh. SH - Prob. 3.3.3EPCh. SH - Prob. 3.3.4EPCh. SH - Prob. 3.3.5EPCh. SH - Prob. 3.3.6EPCh. SH - Prob. 3.3.7EPCh. SH - Prob. 3.3.8EPCh. SH - Prob. 3.3.9EPCh. SH - Prob. 3.3.10EPCh. SH - Prob. 3.3.11EPCh. SH - Prob. 3.3.12EPCh. SH - Prob. 3.3.13EPCh. SH - Prob. 3.3.14EPCh. SH - Prob. 3.3.15EPCh. SH - Prob. 3.4.1EPCh. SH - Prob. 3.4.2EPCh. SH - Prob. 3.4.3EPCh. SH - Prob. 3.4.4EPCh. SH - Prob. 3.4.5EPCh. SH - Prob. 3.4.6EPCh. SH - Prob. 3.4.7EPCh. SH - Prob. 3.4.8EPCh. SH - Prob. 3.4.9EPCh. SH - Prob. 3.4.10EPCh. SH - Prob. 3.4.11EPCh. SH - Prob. 3.4.12EPCh. SH - Prob. 3.4.13EPCh. SH - Prob. 3.4.14EPCh. SH - Prob. 3.4.15EPCh. SH - Prob. 3.4.16EPCh. SH - Prob. 3.4.17EPCh. SH - Prob. 3.4.18EPCh. SH - Prob. 3.4.19EPCh. SH - Prob. 3.4.20EPCh. SH - Prob. 3.4.21EPCh. SH - Prob. 3.4.22EPCh. SH - Prob. 3.4.23EPCh. SH - Prob. 3.4.24EPCh. SH - Prob. 3.5.1EPCh. SH - Prob. 3.5.2EPCh. SH - Prob. 3.5.3EPCh. SH - Prob. 3.5.4EPCh. SH - Prob. 3.5.5EPCh. SH - Prob. 3.5.6EPCh. SH - Prob. 3.5.7EPCh. SH - Prob. 3.5.8EPCh. SH - Prob. 3.5.9EPCh. SH - Prob. 3.5.10EPCh. SH - Prob. 3.5.11EPCh. SH - Prob. 3.5.12EPCh. SH - Prob. 3.5.13EPCh. SH - Prob. 3.5.14EPCh. SH - Prob. 3.5.15EPCh. SH - Prob. 3.6.1EPCh. SH - Prob. 3.6.2EPCh. SH - Prob. 3.6.3EPCh. SH - Prob. 3.6.4EPCh. SH - Prob. 3.6.5EPCh. SH - Prob. 3.6.6EPCh. SH - Prob. 3.6.7EPCh. SH - Prob. 3.6.8EPCh. SH - Prob. 3.6.9EPCh. SH - Prob. 3.6.10EPCh. SH - Prob. 3.6.11EPCh. SH - Prob. 3.6.12EPCh. SH - Prob. 4.1.1EPCh. SH - Prob. 4.1.2EPCh. SH - Prob. 4.1.3EPCh. SH - Prob. 4.1.4EPCh. SH - Prob. 4.1.5EPCh. SH - Prob. 4.1.6EPCh. SH - Prob. 4.1.7EPCh. SH - Prob. 4.1.8EPCh. SH - Prob. 4.1.9EPCh. SH - Prob. 4.1.10EPCh. SH - Prob. 4.1.11EPCh. SH - Prob. 4.1.12EPCh. SH - Prob. 4.1.13EPCh. SH - Prob. 4.1.14EPCh. SH - Prob. 4.1.15EPCh. SH - Prob. 4.1.16EPCh. SH - Prob. 4.1.17EPCh. SH - Prob. 4.1.18EPCh. SH - Prob. 4.1.19EPCh. SH - Prob. 4.1.20EPCh. SH - Prob. 4.1.21EPCh. SH - Prob. 4.2.1EPCh. SH - Prob. 4.2.2EPCh. SH - Prob. 4.2.3EPCh. SH - Prob. 4.2.4EPCh. SH - Prob. 4.2.5EPCh. SH - Prob. 4.2.6EPCh. SH - Prob. 4.2.7EPCh. SH - Prob. 4.2.8EPCh. SH - Prob. 4.2.9EPCh. SH - Prob. 4.2.10EPCh. SH - Prob. 4.2.11EPCh. SH - Prob. 4.2.12EPCh. SH - Prob. 4.2.13EPCh. SH - Prob. 4.2.14EPCh. SH - Prob. 4.2.15EPCh. SH - Prob. 4.2.16EPCh. SH - Prob. 4.2.17EPCh. SH - Prob. 4.2.18EPCh. SH - Prob. 4.2.19EPCh. SH - Prob. 4.2.20EPCh. SH - Prob. 4.2.21EPCh. SH - Prob. 4.2.22EPCh. SH - Prob. 4.2.23EPCh. SH - Prob. 4.2.24EPCh. SH - Prob. 4.3.1EPCh. SH - Prob. 4.3.2EPCh. SH - Prob. 4.3.3EPCh. SH - Prob. 4.3.4EPCh. SH - Prob. 4.3.5EPCh. SH - Prob. 4.3.6EPCh. SH - Prob. 4.3.7EPCh. SH - Prob. 4.3.8EPCh. SH - Prob. 4.3.9EPCh. SH - Prob. 4.3.10EPCh. SH - Prob. 4.3.11EPCh. SH - Prob. 4.3.12EPCh. SH - Prob. 4.3.13EPCh. SH - Prob. 4.3.14EPCh. SH - Prob. 4.3.15EPCh. SH - Prob. 4.3.16EPCh. SH - Prob. 4.3.17EPCh. SH - Prob. 4.3.18EPCh. SH - Prob. 4.3.19EPCh. SH - Prob. 4.3.20EPCh. SH - Prob. 4.3.21EPCh. SH - Prob. 4.4.1EPCh. SH - Prob. 4.4.2EPCh. SH - Prob. 4.4.3EPCh. SH - Prob. 4.4.4EPCh. SH - Prob. 4.4.5EPCh. SH - Prob. 4.4.6EPCh. SH - Prob. 4.4.7EPCh. SH - Prob. 4.4.8EPCh. SH - Prob. 4.4.9EPCh. SH - Prob. 4.4.10EPCh. SH - Prob. 4.4.11EPCh. SH - Prob. 4.4.12EPCh. SH - Prob. 4.4.13EPCh. SH - Prob. 4.4.14EPCh. SH - Prob. 4.4.15EPCh. SH - Prob. 4.4.16EPCh. SH - Prob. 4.4.17EPCh. SH - Prob. 4.4.18EPCh. SH - Prob. 4.4.19EPCh. SH - Prob. 4.4.20EPCh. SH - Prob. 4.4.21EPCh. SH - Prob. 4.5.1EPCh. SH - Prob. 4.5.2EPCh. SH - Prob. 4.5.3EPCh. SH - Prob. 4.5.4EPCh. SH - Prob. 4.5.5EPCh. SH - Prob. 4.5.6EPCh. SH - Prob. 4.5.7EPCh. SH - Prob. 4.5.8EPCh. SH - Prob. 4.5.9EPCh. SH - Prob. 4.5.10EPCh. SH - Prob. 4.5.11EPCh. SH - Prob. 4.5.12EPCh. SH - Prob. 4.5.13EPCh. SH - Prob. 4.5.14EPCh. SH - Prob. 4.5.15EPCh. SH - Prob. 4.5.16EPCh. SH - Prob. 4.5.17EPCh. SH - Prob. 4.5.18EPCh. SH - Prob. 4.5.19EPCh. SH - Prob. 4.5.20EPCh. SH - Prob. 4.5.21EPCh. SH - Prob. 4.6.1EPCh. SH - Prob. 4.6.2EPCh. SH - Prob. 4.6.3EPCh. SH - Prob. 4.6.4EPCh. SH - Prob. 4.6.5EPCh. SH - Prob. 4.6.6EPCh. SH - Prob. 4.6.7EPCh. SH - Prob. 4.6.8EPCh. SH - Prob. 4.6.9EPCh. SH - Prob. 5.1.1EPCh. SH - Prob. 5.1.2EPCh. SH - Prob. 5.1.3EPCh. SH - Prob. 5.1.4EPCh. SH - Prob. 5.1.5EPCh. SH - Prob. 5.1.6EPCh. SH - Prob. 5.1.7EPCh. SH - Prob. 5.1.8EPCh. SH - Prob. 5.1.9EPCh. SH - Prob. 5.1.10EPCh. SH - Prob. 5.1.11EPCh. SH - Prob. 5.2.1EPCh. SH - Prob. 5.2.2EPCh. SH - Prob. 5.2.3EPCh. SH - Prob. 5.2.4EPCh. SH - Prob. 5.2.5EPCh. SH - Prob. 5.2.6EPCh. SH - Prob. 5.2.7EPCh. SH - Prob. 5.2.8EPCh. SH - Prob. 5.2.9EPCh. SH - Prob. 5.2.10EPCh. SH - Prob. 5.2.11EPCh. SH - Prob. 5.2.12EPCh. SH - Prob. 5.2.13EPCh. SH - Prob. 5.2.14EPCh. SH - Prob. 5.2.15EPCh. SH - Prob. 5.2.16EPCh. SH - Prob. 5.3.1EPCh. SH - Prob. 5.3.2EPCh. SH - Prob. 5.3.3EPCh. SH - Prob. 5.3.4EPCh. SH - Prob. 5.3.5EPCh. SH - Prob. 5.3.6EPCh. SH - Prob. 5.3.7EPCh. SH - Prob. 5.3.8EPCh. SH - Prob. 5.3.9EPCh. SH - Prob. 5.3.10EPCh. SH - Prob. 5.3.11EPCh. SH - Prob. 5.3.12EPCh. SH - Prob. 5.3.13EPCh. SH - Prob. 5.3.14EPCh. SH - Prob. 5.3.15EPCh. SH - Prob. 5.3.16EPCh. SH - Prob. 5.3.17EPCh. SH - Prob. 5.3.18EPCh. SH - Prob. 5.4.1EPCh. SH - Prob. 5.4.2EPCh. SH - Prob. 5.4.3EPCh. SH - Prob. 5.4.4EPCh. SH - Prob. 5.4.5EPCh. SH - Prob. 5.4.6EPCh. SH - Prob. 5.4.7EPCh. SH - Prob. 5.4.8EPCh. SH - Prob. 5.4.9EPCh. SH - Prob. 5.4.10EPCh. SH - Prob. 5.4.11EPCh. SH - Prob. 5.4.12EPCh. SH - Prob. 5.4.13EPCh. SH - Prob. 5.4.14EPCh. SH - Prob. 5.4.15EPCh. SH - Prob. 5.4.16EPCh. SH - Prob. 5.4.17EPCh. SH - Prob. 5.4.18EPCh. SH - Prob. 5.4.19EPCh. SH - Prob. 5.4.20EPCh. SH - Prob. 5.4.21EPCh. SH - Prob. 5.4.22EPCh. SH - Prob. 5.4.23EPCh. SH - Prob. 5.4.24EPCh. SH - Prob. 5.4.25EPCh. SH - Prob. 5.5.1EPCh. SH - Prob. 5.5.2EPCh. SH - Prob. 5.5.3EPCh. SH - Prob. 5.5.4EPCh. SH - Prob. 5.5.5EPCh. SH - Prob. 5.5.6EPCh. SH - Prob. 5.5.7EPCh. SH - Prob. 5.5.8EPCh. SH - Prob. 5.5.9EPCh. SH - Prob. 5.5.10EPCh. SH - Prob. 5.5.11EPCh. SH - Prob. 5.5.12EPCh. SH - Prob. 5.5.13EPCh. SH - Prob. 5.5.14EPCh. SH - Prob. 5.5.15EPCh. SH - Prob. 5.5.16EPCh. SH - Prob. 5.5.17EPCh. SH - Prob. 5.5.18EPCh. SH - Prob. 6.1.1EPCh. SH - Prob. 6.1.2EPCh. SH - Prob. 6.1.3EPCh. SH - Prob. 6.1.4EPCh. SH - Prob. 6.1.5EPCh. SH - Prob. 6.1.6EPCh. SH - Prob. 6.1.7EPCh. SH - Prob. 6.1.8EPCh. SH - Prob. 6.1.9EPCh. SH - Prob. 6.1.10EPCh. SH - Prob. 6.2.1EPCh. SH - Prob. 6.2.2EPCh. SH - Prob. 6.2.3EPCh. SH - Prob. 6.2.4EPCh. SH - Prob. 6.2.5EPCh. SH - Prob. 6.2.6EPCh. SH - Prob. 6.2.7EPCh. SH - Prob. 6.2.8EPCh. SH - Prob. 6.2.9EPCh. SH - Prob. 6.2.10EPCh. SH - Prob. 6.3.1EPCh. SH - Prob. 6.3.2EPCh. SH - Prob. 6.3.3EPCh. SH - Prob. 6.3.4EPCh. SH - Prob. 6.3.5EPCh. SH - Prob. 6.3.6EPCh. SH - Prob. 6.3.7EPCh. SH - Prob. 6.3.8EPCh. SH - Prob. 6.3.9EPCh. SH - Prob. 6.3.10EPCh. SH - Prob. 6.3.11EPCh. SH - Prob. 6.3.12EPCh. SH - Prob. 6.3.13EPCh. SH - Prob. 6.3.14EPCh. SH - Prob. 6.3.15EPCh. SH - Prob. 6.3.16EPCh. SH - Prob. 6.4.1EPCh. SH - Prob. 6.4.2EPCh. SH - Prob. 6.4.3EPCh. SH - Prob. 6.4.4EPCh. SH - Prob. 6.4.5EPCh. SH - Prob. 6.4.6EPCh. SH - Prob. 6.4.7EPCh. SH - Prob. 6.4.8EPCh. SH - Prob. 6.5.1EPCh. SH - Prob. 6.5.2EPCh. SH - Prob. 6.5.3EPCh. SH - Prob. 6.5.4EPCh. SH - Prob. 6.5.5EPCh. SH - Prob. 6.5.6EPCh. SH - Prob. 6.5.7EPCh. SH - Prob. 6.5.8EPCh. SH - Prob. 6.5.9EPCh. SH - Prob. 6.5.10EPCh. SH - Prob. 6.5.11EPCh. SH - Prob. 6.5.12EPCh. SH - Prob. 6.5.13EPCh. SH - Prob. 6.5.14EPCh. SH - Prob. 6.5.15EPCh. SH - Prob. 6.6.1EPCh. SH - Prob. 6.6.2EPCh. SH - Prob. 6.6.3EPCh. SH - Prob. 6.6.4EPCh. SH - Prob. 6.6.5EPCh. SH - Prob. 6.6.6EPCh. SH - Prob. 6.7.1EPCh. SH - Prob. 6.7.2EPCh. SH - Prob. 6.7.3EPCh. SH - Prob. 6.7.4EPCh. SH - Prob. 6.8.1EPCh. SH - Prob. 6.8.2EPCh. SH - Prob. 6.8.3EPCh. SH - Prob. 6.9.1EPCh. SH - Prob. 6.9.2EPCh. SH - Prob. 6.9.3EPCh. SH - Prob. 7.1.1EPCh. SH - Prob. 7.1.2EPCh. SH - Prob. 7.1.3EPCh. SH - Prob. 7.1.4EPCh. SH - Prob. 7.1.5EPCh. SH - Prob. 7.1.6EPCh. SH - Prob. 7.1.7EPCh. SH - Prob. 7.1.8EPCh. SH - Prob. 7.1.9EPCh. SH - Prob. 7.1.10EPCh. SH - Prob. 7.1.11EPCh. SH - Prob. 7.1.12EPCh. SH - Prob. 7.1.13EPCh. SH - Prob. 7.1.14EPCh. SH - Prob. 7.1.15EPCh. SH - Prob. 7.1.16EPCh. SH - Prob. 7.1.17EPCh. SH - Prob. 7.1.18EPCh. SH - Prob. 7.1.19EPCh. SH - Prob. 7.1.20EPCh. SH - Prob. 7.1.21EPCh. SH - Prob. 7.2.1EPCh. SH - Prob. 7.2.2EPCh. SH - Prob. 7.2.3EPCh. SH - Prob. 7.2.4EPCh. SH - Prob. 7.2.5EPCh. SH - Prob. 7.2.6EPCh. SH - Prob. 7.2.7EPCh. SH - Prob. 7.2.8EPCh. SH - Prob. 7.2.9EPCh. SH - Prob. 7.2.10EPCh. SH - Prob. 7.2.11EPCh. SH - Prob. 7.2.12EPCh. SH - Prob. 7.2.13EPCh. SH - Prob. 7.3.1EPCh. SH - Prob. 7.3.2EPCh. SH - Prob. 7.3.3EPCh. SH - Prob. 7.3.4EPCh. SH - Prob. 7.3.5EPCh. SH - Prob. 7.3.6EPCh. SH - Prob. 7.3.7EPCh. SH - Prob. 7.3.8EPCh. SH - Prob. 7.3.9EPCh. SH - Prob. 7.3.10EPCh. SH - Prob. 7.3.11EPCh. SH - Prob. 7.3.12EPCh. SH - Prob. 7.3.13EPCh. SH - Prob. 7.3.14EPCh. SH - Prob. 7.4.1EPCh. SH - Prob. 7.4.2EPCh. SH - Prob. 7.4.3EPCh. SH - Prob. 7.4.4EPCh. SH - Prob. 7.4.5EPCh. SH - Prob. 7.4.6EPCh. SH - Prob. 7.4.7EPCh. SH - Prob. 7.4.8EPCh. SH - Prob. 7.4.9EPCh. SH - Prob. 7.4.10EPCh. SH - Prob. 7.4.11EPCh. SH - Prob. 7.4.12EPCh. SH - Prob. 7.4.13EPCh. SH - Prob. 7.4.14EPCh. SH - Prob. 7.5.1EPCh. SH - Prob. 7.5.2EPCh. SH - Prob. 7.5.3EPCh. SH - Prob. 7.5.4EPCh. SH - Prob. 7.5.5EPCh. SH - Prob. 7.5.6EPCh. SH - Prob. 7.5.7EPCh. SH - Prob. 7.5.8EPCh. SH - Prob. 7.5.9EPCh. SH - Prob. 7.5.10EPCh. SH - Prob. 7.5.11EPCh. SH - Prob. 7.5.12EPCh. SH - Prob. 7.5.13EPCh. SH - Prob. 7.5.14EPCh. SH - Prob. 7.5.15EPCh. SH - Prob. 7.5.16EPCh. SH - Prob. 7.6.1EPCh. SH - Prob. 7.6.2EPCh. SH - Prob. 7.6.3EPCh. SH - Prob. 7.6.4EPCh. SH - Prob. 7.6.5EPCh. SH - Prob. 7.6.6EPCh. SH - Prob. 7.6.7EPCh. SH - Prob. 7.6.8EPCh. SH - Prob. 7.6.9EPCh. SH - Prob. 7.6.10EPCh. SH - Prob. 7.6.11EPCh. SH - Prob. 7.7.1EPCh. SH - Prob. 7.7.2EPCh. SH - Prob. 7.7.3EPCh. SH - Prob. 7.7.4EPCh. SH - Prob. 7.7.5EPCh. SH - Prob. 7.7.6EPCh. SH - Prob. 7.7.7EPCh. SH - Prob. 7.7.8EPCh. SH - Prob. 7.7.9EPCh. SH - Prob. 7.7.10EPCh. SH - Prob. 7.7.11EPCh. SH - Prob. 7.7.12EPCh. SH - Prob. 7.7.13EPCh. SH - Prob. 7.7.14EPCh. SH - Prob. 7.7.15EPCh. SH - Prob. 7.8.1EPCh. SH - Prob. 7.8.2EPCh. SH - Prob. 7.8.3EPCh. SH - Prob. 8.1.1EPCh. SH - Prob. 8.1.2EPCh. SH - Prob. 8.1.3EPCh. SH - Prob. 8.1.4EPCh. SH - Prob. 8.1.5EPCh. SH - Prob. 8.1.6EPCh. SH - Prob. 8.1.7EPCh. SH - Prob. 8.1.8EPCh. SH - Prob. 8.1.9EPCh. SH - Prob. 8.1.10EPCh. SH - Prob. 8.1.11EPCh. SH - Prob. 8.1.12EPCh. SH - Prob. 8.2.1EPCh. SH - Prob. 8.2.2EPCh. SH - Prob. 8.2.3EPCh. SH - Prob. 8.2.4EPCh. SH - Prob. 8.2.5EPCh. SH - Prob. 8.2.6EPCh. SH - Prob. 8.2.7EPCh. SH - Prob. 8.2.8EPCh. SH - Prob. 8.2.9EPCh. SH - Prob. 8.2.10EPCh. SH - Prob. 8.2.11EPCh. SH - Prob. 8.2.12EPCh. SH - Prob. 8.2.13EPCh. SH - Prob. 8.2.14EPCh. SH - Prob. 8.3.1EPCh. SH - Prob. 8.3.2EPCh. SH - Prob. 8.3.3EPCh. SH - Prob. 8.3.4EPCh. SH - Prob. 8.3.5EPCh. SH - Prob. 8.3.6EPCh. SH - Prob. 8.3.7EPCh. SH - Prob. 8.3.8EPCh. SH - Prob. 8.3.9EPCh. SH - Prob. 8.3.10EPCh. SH - Prob. 8.3.11EPCh. SH - Prob. 8.3.12EPCh. SH - Prob. 8.3.13EPCh. SH - Prob. 8.3.14EPCh. SH - Prob. 8.3.15EPCh. SH - Prob. 8.3.16EPCh. SH - Prob. 8.3.17EPCh. SH - Prob. 8.3.18EPCh. SH - Prob. 8.4.1EPCh. SH - Prob. 8.4.2EPCh. SH - Prob. 8.4.3EPCh. SH - Prob. 8.4.4EPCh. SH - Prob. 8.5.1EPCh. SH - Prob. 8.5.2EPCh. SH - Prob. 8.5.3EPCh. SH - Prob. 8.6.1EPCh. SH - Prob. 8.6.2EPCh. SH - Prob. 8.6.3EPCh. SH - Prob. 8.6.4EPCh. SH - Prob. 8.6.5EPCh. SH - Prob. 8.6.6EPCh. SH - Prob. 8.7.1EPCh. SH - Prob. 8.7.2EPCh. SH - Prob. 8.7.3EPCh. SH - Prob. 8.7.4EPCh. SH - Prob. 8.7.5EPCh. SH - Prob. 8.7.6EPCh. SH - Prob. 8.7.7EPCh. SH - Prob. 8.7.8EPCh. SH - Prob. 8.7.9EPCh. SH - Prob. 8.7.10EPCh. SH - Prob. 8.7.11EPCh. SH - Prob. 8.7.12EPCh. SH - Prob. 8.8.1EPCh. SH - Prob. 8.8.2EPCh. SH - Prob. 8.8.3EPCh. SH - Prob. 8.8.4EPCh. SH - Prob. 8.8.5EPCh. SH - Prob. 8.8.6EPCh. SH - Prob. 8.8.7EPCh. SH - Prob. 8.8.8EPCh. SH - Prob. 8.8.9EPCh. SH - Prob. 8.8.10EPCh. SH - Prob. 8.9.1EPCh. SH - Prob. 8.9.2EPCh. SH - Prob. 8.9.3EPCh. SH - Prob. 8.10.1EPCh. SH - Prob. 8.10.2EPCh. SH - Prob. 8.10.3EPCh. SH - Prob. 8.10.4EPCh. SH - Prob. 8.10.5EPCh. SH - Prob. 8.10.6EPCh. SH - Prob. 8.10.7EPCh. SH - Prob. 8.10.8EPCh. SH - Prob. 9.1.1EPCh. SH - Prob. 9.1.2EPCh. SH - Prob. 9.1.3EPCh. SH - Prob. 9.1.4EPCh. SH - Prob. 9.1.5EPCh. SH - Prob. 9.1.6EPCh. SH - Prob. 9.1.7EPCh. SH - Prob. 9.1.8EPCh. SH - Prob. 9.1.9EPCh. SH - Prob. 9.1.10EPCh. SH - Prob. 9.1.11EPCh. SH - Prob. 9.1.12EPCh. SH - Prob. 9.1.13EPCh. SH - Prob. 9.1.14EPCh. SH - Prob. 9.1.15EPCh. SH - Prob. 9.1.16EPCh. SH - Prob. 9.1.17EPCh. SH - Prob. 9.1.18EPCh. SH - Prob. 9.1.19EPCh. SH - Prob. 9.1.20EPCh. SH - Prob. 9.1.21EPCh. SH - Prob. 9.1.22EPCh. SH - Prob. 9.1.23EPCh. SH - Prob. 9.1.24EPCh. SH - Prob. 9.2.1EPCh. SH - Prob. 9.2.2EPCh. SH - Prob. 9.2.3EPCh. SH - Prob. 9.2.4EPCh. SH - Prob. 9.2.5EPCh. SH - Prob. 9.2.6EPCh. SH - Prob. 9.2.7EPCh. SH - Prob. 9.2.8EPCh. SH - Prob. 9.2.9EPCh. SH - Prob. 9.2.10EPCh. SH - Prob. 9.2.11EPCh. SH - Prob. 9.2.12EPCh. SH - Prob. 9.2.13EPCh. SH - Prob. 9.2.14EPCh. SH - Prob. 9.2.15EPCh. SH - Prob. 9.2.16EPCh. SH - Prob. 9.2.17EPCh. SH - Prob. 9.2.18EPCh. SH - Prob. 9.2.19EPCh. SH - Prob. 9.2.20EPCh. SH - Prob. 9.2.21EPCh. SH - Prob. 9.2.22EPCh. SH - Prob. 9.2.23EPCh. SH - Prob. 9.2.24EPCh. SH - Prob. 9.2.25EPCh. SH - Prob. 9.2.26EPCh. SH - Prob. 9.2.27EPCh. SH - Prob. 9.2.28EPCh. SH - Prob. 9.2.29EPCh. SH - Prob. 9.3.1EPCh. SH - Prob. 9.3.2EPCh. SH - Prob. 9.3.3EPCh. SH - Prob. 9.3.4EPCh. SH - Prob. 9.3.5EPCh. SH - Prob. 9.3.6EPCh. SH - Prob. 9.3.7EPCh. SH - Prob. 9.3.8EPCh. SH - Prob. 9.3.9EPCh. SH - Prob. 9.3.10EPCh. SH - Prob. 9.3.11EPCh. SH - Prob. 9.3.12EPCh. SH - Prob. 9.3.13EPCh. SH - Prob. 9.3.14EPCh. SH - Prob. 9.3.15EPCh. SH - Prob. 9.4.1EPCh. SH - Prob. 9.4.2EPCh. SH - Prob. 9.4.3EPCh. SH - Prob. 9.4.4EPCh. SH - Prob. 9.4.5EPCh. SH - Prob. 9.4.6EPCh. SH - Prob. 9.4.7EPCh. SH - Prob. 9.4.8EPCh. SH - Prob. 9.4.9EPCh. SH - Prob. 9.4.10EPCh. SH - Prob. 9.4.11EPCh. SH - Prob. 9.4.12EPCh. SH - Prob. 9.4.13EPCh. SH - Prob. 9.4.14EPCh. SH - Prob. 9.4.15EPCh. SH - Prob. 9.4.16EPCh. SH - Prob. 9.4.17EPCh. SH - Prob. 9.4.18EPCh. SH - Prob. 9.4.19EPCh. SH - Prob. 9.4.20EPCh. SH - Prob. 9.4.21EPCh. SH - Prob. 9.4.22EPCh. SH - Prob. 9.4.23EPCh. SH - Prob. 9.4.24EPCh. SH - Prob. 9.4.25EPCh. SH - Prob. 9.4.26EPCh. SH - Prob. 9.5.1EPCh. SH - Prob. 9.5.2EPCh. SH - Prob. 9.5.3EPCh. SH - Prob. 9.5.4EPCh. SH - Prob. 9.5.5EPCh. SH - Prob. 9.5.6EPCh. SH - Prob. 9.5.7EPCh. SH - Prob. 9.5.8EPCh. SH - Prob. 9.5.9EPCh. SH - Prob. 9.5.10EPCh. SH - Prob. 9.5.11EPCh. SH - Prob. 9.5.12EPCh. SH - Prob. 9.5.13EPCh. SH - Prob. 9.5.14EPCh. SH - Prob. 9.5.15EPCh. SH - Prob. 9.5.16EPCh. SH - Prob. 9.5.17EPCh. SH - Prob. 9.5.18EPCh. SH - Prob. 9.5.19EPCh. SH - Prob. 9.5.20EPCh. SH - Prob. 9.6.1EPCh. SH - Prob. 9.6.2EPCh. SH - Prob. 9.6.3EPCh. SH - Prob. 9.6.4EPCh. SH - Prob. 9.6.5EPCh. SH - Prob. 9.6.6EPCh. SH - Prob. 9.6.7EPCh. SH - Prob. 9.6.8EPCh. SH - Prob. 9.6.9EPCh. SH - Prob. 9.6.10EPCh. SH - Prob. 9.6.11EPCh. SH - Prob. 9.6.12EPCh. SH - Prob. 9.6.13EPCh. SH - Prob. 9.6.14EPCh. SH - Prob. 9.6.15EPCh. SH - Prob. 9.6.16EPCh. SH - Prob. 9.6.17EPCh. SH - Prob. 9.7.1EPCh. SH - Prob. 9.7.2EPCh. SH - Prob. 9.7.3EPCh. SH - Prob. 9.7.4EPCh. SH - Prob. 9.7.5EPCh. SH - Prob. 9.7.6EPCh. SH - Prob. 9.7.7EPCh. SH - Prob. 9.7.8EPCh. SH - Prob. 9.7.9EPCh. SH - Prob. 9.7.10EPCh. SH - Prob. 9.7.11EPCh. SH - Prob. 9.8.1EPCh. SH - Prob. 9.8.2EPCh. SH - Prob. 9.8.3EPCh. SH - Prob. 9.8.4EPCh. SH - Prob. 9.8.5EPCh. SH - Prob. 9.8.6EPCh. SH - Prob. 9.8.7EPCh. SH - Prob. 9.8.8EPCh. SH - Prob. 9.8.9EPCh. SH - Prob. 9.8.10EPCh. SH - Prob. 9.8.11EPCh. SH - Prob. 9.8.12EPCh. SH - Prob. 9.8.13EPCh. SH - Prob. 9.8.14EPCh. SH - Prob. 9.8.15EPCh. SH - Prob. 9.9.1EPCh. SH - Prob. 9.9.2EPCh. SH - Prob. 9.9.3EPCh. SH - Prob. 9.9.4EPCh. SH - Prob. 9.9.5EPCh. SH - Prob. 9.9.6EPCh. SH - Prob. 9.9.7EPCh. SH - Prob. 9.9.8EPCh. SH - Prob. 9.9.9EPCh. SH - Prob. 9.9.10EPCh. SH - Prob. 9.9.11EPCh. SH - Prob. 9.9.12EPCh. SH - Prob. 9.9.13EPCh. SH - Prob. 9.9.14EPCh. SH - Prob. 9.9.15EPCh. SH - Prob. 10.1.1EPCh. SH - Prob. 10.1.2EPCh. SH - Prob. 10.1.3EPCh. SH - Prob. 10.1.4EPCh. SH - Prob. 10.1.5EPCh. SH - Prob. 10.1.6EPCh. SH - Prob. 10.1.7EPCh. SH - Prob. 10.1.8EPCh. SH - Prob. 10.1.9EPCh. SH - Prob. 10.1.10EPCh. SH - Prob. 10.1.11EPCh. SH - Prob. 10.1.12EPCh. SH - Prob. 10.1.13EPCh. SH - Prob. 10.1.14EPCh. SH - Prob. 10.1.15EPCh. SH - Prob. 10.1.16EPCh. SH - Prob. 10.1.17EPCh. SH - Prob. 10.1.18EPCh. SH - Prob. 10.1.19EPCh. SH - Prob. 10.1.20EPCh. SH - Prob. 10.1.21EPCh. SH - Prob. 10.1.22EPCh. SH - Prob. 10.1.23EPCh. SH - Prob. 10.1.24EPCh. SH - Prob. 10.1.25EPCh. SH - Prob. 10.1.26EPCh. SH - Prob. 10.1.27EPCh. SH - Prob. 10.2.1EPCh. SH - Prob. 10.2.2EPCh. SH - Prob. 10.2.3EPCh. SH - Prob. 10.2.4EPCh. SH - Prob. 10.2.5EPCh. SH - Prob. 10.2.6EPCh. SH - Prob. 10.2.7EPCh. SH - Prob. 10.2.8EPCh. SH - Prob. 10.2.9EPCh. SH - Prob. 10.2.10EPCh. SH - Prob. 10.2.11EPCh. SH - Prob. 10.2.12EPCh. SH - Prob. 10.2.13EPCh. SH - Prob. 10.2.14EPCh. SH - Prob. 10.2.15EPCh. SH - Prob. 10.2.16EPCh. SH - Prob. 10.2.17EPCh. SH - Prob. 10.2.18EPCh. SH - Prob. 10.2.19EPCh. SH - Prob. 10.2.20EPCh. SH - Prob. 10.2.21EPCh. SH - Prob. 10.2.22EPCh. SH - Prob. 10.3.1EPCh. SH - Prob. 10.3.2EPCh. SH - Prob. 10.3.3EPCh. SH - Prob. 10.3.4EPCh. SH - Prob. 10.3.5EPCh. SH - Prob. 10.3.6EPCh. SH - Prob. 10.3.7EPCh. SH - Prob. 10.3.8EPCh. SH - Prob. 10.3.9EPCh. SH - Prob. 10.4.1EPCh. SH - Prob. 10.4.2EPCh. SH - Prob. 10.4.3EPCh. SH - Prob. 10.4.4EPCh. SH - Prob. 10.4.5EPCh. SH - Prob. 10.4.6EPCh. SH - Prob. 10.4.7EPCh. SH - Prob. 10.4.8EPCh. SH - Prob. 10.4.9EPCh. SH - Prob. 10.5.1EPCh. SH - Prob. 10.5.2EPCh. SH - Prob. 10.5.3EPCh. SH - Prob. 10.5.4EPCh. SH - Prob. 10.5.5EPCh. SH - Prob. 10.5.6EPCh. SH - Prob. 10.5.7EPCh. SH - Prob. 10.5.8EPCh. SH - Prob. 10.5.9EPCh. SH - Prob. 10.5.10EPCh. SH - Prob. 10.6.1EPCh. SH - Prob. 10.6.2EPCh. SH - Prob. 10.6.3EPCh. SH - Prob. 10.6.5EPCh. SH - Prob. 10.6.6EPCh. SH - Prob. 11.1.1EPCh. SH - Prob. 11.1.2EPCh. SH - Prob. 11.1.3EPCh. SH - Prob. 11.1.4EPCh. SH - Prob. 11.1.5EPCh. SH - Prob. 11.1.6EPCh. SH - Prob. 11.1.7EPCh. SH - Prob. 11.1.8EPCh. SH - Prob. 11.1.9EPCh. SH - Prob. 11.2.1EPCh. SH - Prob. 11.2.2EPCh. SH - Prob. 11.2.3EPCh. SH - Prob. 11.2.4EPCh. SH - Prob. 11.3.1EPCh. SH - Prob. 11.3.2EPCh. SH - Prob. 11.3.3EPCh. SH - Prob. 11.3.4EPCh. SH - Prob. 11.4.1EPCh. SH - Prob. 11.4.2EPCh. SH - Prob. 11.4.3EPCh. SH - Prob. 11.4.4EPCh. SH - Prob. 11.5.1EPCh. SH - Prob. 11.5.2EPCh. SH - Prob. 11.5.3EPCh. SH - Prob. 11.5.4EPCh. SH - Prob. 11.5.5EPCh. SH - Prob. 11.5.6EPCh. SH - Prob. 11.5.7EPCh. SH - Prob. 11.5.8EPCh. SH - Prob. 11.6.1EPCh. SH - Prob. 11.6.2EPCh. SH - Prob. 11.6.3EPCh. SH - Prob. 11.6.4EPCh. SH - Prob. 11.6.5EPCh. SH - Prob. 11.6.6EPCh. SH - Prob. 11.7.1EPCh. SH - Prob. 11.7.2EPCh. SH - Prob. 11.7.3EPCh. SH - Prob. 11.7.4EPCh. SH - Prob. 11.7.5EPCh. SH - Prob. 11.8.1EPCh. SH - Prob. 11.8.2EPCh. SH - Prob. 11.8.3EPCh. SH - Prob. 11.8.4EPCh. SH - Prob. 11.8.5EPCh. SH - Prob. 11.9.1EPCh. SH - Prob. 11.9.2EPCh. SH - Prob. 11.9.3EPCh. SH - Prob. 11.9.4EPCh. SH - Prob. 12.1.1EPCh. SH - Prob. 12.1.2EPCh. SH - Prob. 12.1.3EPCh. SH - Prob. 12.1.4EPCh. SH - Prob. 12.1.5EPCh. SH - Prob. 12.2.1EPCh. SH - Prob. 12.2.2EPCh. SH - Prob. 12.2.3EPCh. SH - Prob. 12.2.4EPCh. SH - Prob. 12.2.5EPCh. SH - Prob. 12.3.1EPCh. SH - Prob. 12.3.2EPCh. SH - Prob. 12.3.3EPCh. SH - Prob. 12.3.4EPCh. SH - Prob. 12.3.5EPCh. SH - Prob. 12.3.6EPCh. SH - Prob. 12.3.7EPCh. SH - Prob. 12.4.1EPCh. SH - Prob. 12.4.2EPCh. SH - Prob. 12.4.3EPCh. SH - Prob. 12.4.4EPCh. SH - Prob. 12.4.5EPCh. SH - Prob. 12.4.6EPCh. SH - Prob. 12.4.7EPCh. SH - Prob. 12.4.8EPCh. SH - Prob. 12.5.1EPCh. SH - Prob. 12.5.2EPCh. SH - Prob. 12.5.3EPCh. SH - Prob. 12.5.4EPCh. SH - Prob. 12.5.5EPCh. SH - Prob. 12.5.6EPCh. SH - Prob. 12.6.1EPCh. SH - Prob. 12.6.2EPCh. SH - Prob. 12.6.3EPCh. SH - Prob. 12.6.4EPCh. SH - Prob. 12.6.5EPCh. SH - Prob. 12.6.6EPCh. SH - Prob. 12.6.7EPCh. SH - Prob. 12.6.8EPCh. SH - Prob. 12.7.1EPCh. SH - Prob. 12.7.2EPCh. SH - Prob. 12.7.3EPCh. SH - Prob. 12.7.4EPCh. SH - Prob. 12.7.5EPCh. SH - Prob. 12.7.6EPCh. SH - Prob. 12.7.7EPCh. SH - Prob. 12.8.1EPCh. SH - Prob. 12.8.2EPCh. SH - Prob. 12.8.3EPCh. SH - Prob. 12.8.4EPCh. SH - Prob. 13.1.1EPCh. SH - Prob. 13.1.2EPCh. SH - Prob. 13.1.3EPCh. SH - Prob. 13.1.4EPCh. SH - Prob. 13.1.5EPCh. SH - Prob. 13.2.1EPCh. SH - Prob. 13.2.2EPCh. SH - Prob. 13.2.3EPCh. SH - Prob. 13.2.4EPCh. SH - Prob. 13.2.5EPCh. SH - Prob. 13.3.1EPCh. SH - Prob. 13.3.2EPCh. SH - Prob. 13.3.3EPCh. SH - Prob. 13.3.4EPCh. SH - Prob. 13.4.1EPCh. SH - Prob. 13.4.2EPCh. SH - Prob. 13.4.3EPCh. SH - Prob. 13.5.1EPCh. SH - Prob. 13.5.2EPCh. SH - Prob. 13.6.1EPCh. SH - Prob. 13.6.2EPCh. SH - Prob. 13.6.3EPCh. SH - Prob. 13.6.4EPCh. SH - Prob. 13.6.5EPCh. SH - Prob. 13.6.6EPCh. SH - Prob. 13.6.7EPCh. SH - Prob. 13.6.8EPCh. SH - Prob. 13.6.9EPCh. SH - Prob. 13.6.10EPCh. SH - Prob. 13.6.11EPCh. SH - Prob. 13.6.12EPCh. SH - Prob. 13.7.1EPCh. SH - Prob. 13.7.2EPCh. SH - Prob. 13.7.3EPCh. SH - Prob. 13.7.4EPCh. SH - Prob. 13.8.1EPCh. SH - Prob. 13.8.2EPCh. SH - Prob. 13.8.3EPCh. SH - Prob. 13.8.4EPCh. SH - Prob. 13.8.5EPCh. SH - Prob. 13.8.6EPCh. SH - Prob. 13.9.1EPCh. SH - Prob. 13.9.2EPCh. SH - Prob. 13.9.3EPCh. SH - Prob. 13.9.4EPCh. SH - Prob. 13.9.5EPCh. SH - Prob. 13.10.1EPCh. SH - Prob. 13.10.2EPCh. SH - Prob. 13.10.3EPCh. SH - Prob. 13.10.4EPCh. SH - Prob. 13.10.5EPCh. SH - Prob. 13.10.6EPCh. SH - Prob. 14.1.1EPCh. SH - Prob. 14.1.2EPCh. SH - Prob. 14.1.3EPCh. SH - Prob. 14.1.4EPCh. SH - Prob. 14.1.5EPCh. SH - Prob. 14.1.6EPCh. SH - Prob. 14.1.7EPCh. SH - Prob. 14.1.8EPCh. SH - Prob. 14.1.9EPCh. SH - Prob. 14.1.10EPCh. SH - Prob. 14.2.1EPCh. SH - Prob. 14.2.2EPCh. SH - Prob. 14.2.3EPCh. SH - Prob. 14.2.4EPCh. SH - Prob. 14.2.5EPCh. SH - Prob. 14.2.6EPCh. SH - Prob. 14.2.7EPCh. SH - Prob. 14.2.8EPCh. SH - Prob. 14.2.9EPCh. SH - Prob. 14.2.10EPCh. SH - Prob. 14.3.1EPCh. SH - Prob. 14.3.2EPCh. SH - Prob. 14.3.3EPCh. SH - Prob. 14.3.4EPCh. SH - Prob. 14.3.5EPCh. SH - Prob. 14.3.6EPCh. SH - Prob. 14.3.7EPCh. SH - Prob. 14.3.8EPCh. SH - Prob. 14.4.1EPCh. SH - Prob. 14.4.2EPCh. SH - Prob. 14.4.3EPCh. SH - Prob. 14.4.4EPCh. SH - Prob. 14.4.5EPCh. SH - Prob. 14.4.6EPCh. SH - Prob. 14.4.7EPCh. SH - Prob. 14.4.8EPCh. SH - Prob. 14.4.9EPCh. SH - Prob. 14.4.10EPCh. SH - Prob. 14.4.11EPCh. SH - Prob. 14.4.12EPCh. SH - Prob. 14.4.13EPCh. SH - Prob. 14.4.14EPCh. SH - Prob. 14.5.1EPCh. SH - Prob. 14.5.2EPCh. SH - Prob. 14.5.3EPCh. SH - Prob. 14.5.4EPCh. SH - Prob. 14.5.5EPCh. SH - Prob. 14.5.6EPCh. SH - Prob. 14.5.7EPCh. SH - Prob. 14.5.8EPCh. SH - Prob. 14.5.9EPCh. SH - Prob. 14.5.10EPCh. SH - Prob. 14.6.1EPCh. SH - Prob. 14.6.2EPCh. SH - Prob. 14.6.3EPCh. SH - Prob. 14.6.4EPCh. SH - Prob. 14.6.5EPCh. SH - Prob. 14.6.6EPCh. SH - Prob. 14.6.7EPCh. SH - Prob. 14.6.8EPCh. SH - Prob. 14.6.9EPCh. SH - Prob. 14.6.10EPCh. SH - Prob. 14.6.11EPCh. SH - Prob. 14.6.12EPCh. SH - Prob. 14.7.1EPCh. SH - Prob. 14.7.2EPCh. SH - Prob. 14.7.3EPCh. SH - Prob. 14.7.4EPCh. SH - Prob. 14.7.5EPCh. SH - Prob. 14.7.6EPCh. SH - Prob. 14.7.7EPCh. SH - Prob. 14.7.8EPCh. SH - Prob. 14.7.9EPCh. SH - Prob. 14.7.10EPCh. SH - Prob. 14.7.11EPCh. SH - Prob. 14.8.1EPCh. SH - Prob. 14.8.2EPCh. SH - Prob. 14.8.3EPCh. SH - Prob. 14.8.4EPCh. SH - Prob. 14.8.5EPCh. SH - Prob. 14.8.6EPCh. SH - Prob. 14.8.7EPCh. SH - Prob. 14.8.8EPCh. SH - Prob. 14.8.9EPCh. SH - Prob. 14.8.10EPCh. SH - Prob. 14.8.11EPCh. SH - Prob. 1.1MPSCh. SH - Prob. 1.2MPSCh. SH - Prob. 1.3MPSCh. SH - Prob. 1.4MPSCh. SH - Prob. 1.5MPSCh. SH - Prob. 1.6MPSCh. SH - Prob. 1.7MPSCh. SH - Prob. 2.1MPSCh. SH - Prob. 2.2MPSCh. SH - Prob. 2.3MPSCh. SH - Prob. 2.4MPSCh. SH - Prob. 2.5MPSCh. SH - Prob. 2.6MPSCh. SH - Prob. 2.7MPSCh. SH - Prob. 2.8MPSCh. SH - Prob. 2.9MPSCh. SH - Prob. 2.10MPSCh. SH - Prob. 2.11MPSCh. SH - Prob. 3.1MPSCh. SH - Prob. 3.2MPSCh. SH - Prob. 3.3MPSCh. SH - Prob. 3.4MPSCh. SH - Prob. 3.5MPSCh. SH - Prob. 3.6MPSCh. SH - Prob. 3.7MPSCh. SH - Prob. 3.8MPSCh. SH - Prob. 3.9MPSCh. SH - Prob. 3.10MPSCh. SH - Prob. 3.11MPSCh. SH - Prob. 3.12MPSCh. SH - Prob. 4.1MPSCh. SH - Prob. 4.2MPSCh. SH - Prob. 4.3MPSCh. SH - Prob. 4.4MPSCh. SH - Prob. 4.5MPSCh. SH - Prob. 4.6MPSCh. SH - Prob. 4.7MPSCh. SH - Prob. 4.8MPSCh. SH - Prob. 4.9MPSCh. SH - Prob. 4.10MPSCh. SH - Prob. 4.11MPSCh. SH - Prob. 5.1MPSCh. SH - Prob. 5.2MPSCh. SH - Prob. 5.3MPSCh. SH - Prob. 5.4MPSCh. SH - Prob. 5.5MPSCh. SH - Prob. 5.6MPSCh. SH - Prob. 5.7MPSCh. SH - Prob. 5.8MPSCh. SH - Prob. 5.9MPSCh. SH - Prob. 6.1MPSCh. SH - Prob. 6.2MPSCh. SH - Prob. 6.3MPSCh. SH - Prob. 6.4MPSCh. SH - Prob. 6.5MPSCh. SH - Prob. 6.6MPSCh. SH - Prob. 6.7MPSCh. SH - Prob. 6.8MPSCh. SH - Prob. 6.9MPSCh. SH - Prob. 6.10MPSCh. SH - Prob. 7.1MPSCh. SH - Prob. 7.2MPSCh. SH - Prob. 7.3MPSCh. SH - Prob. 7.4MPSCh. SH - Prob. 7.5MPSCh. SH - Prob. 7.6MPSCh. SH - Prob. 7.7MPSCh. SH - Prob. 7.8MPSCh. SH - Prob. 7.9MPSCh. SH - Prob. 7.10MPSCh. SH - Prob. 8.1MPSCh. SH - Prob. 8.2MPSCh. SH - Prob. 8.3MPSCh. SH - Prob. 8.4MPSCh. SH - Prob. 8.5MPSCh. SH - Prob. 8.6MPSCh. SH - Prob. 8.7MPSCh. SH - Prob. 8.8MPSCh. SH - Prob. 8.9MPSCh. SH - Prob. 8.10MPSCh. SH - Prob. 9.1MPSCh. SH - Prob. 9.2MPSCh. SH - Prob. 9.3MPSCh. SH - Prob. 9.4MPSCh. SH - Prob. 9.5MPSCh. SH - Prob. 9.6MPSCh. SH - Prob. 9.7MPSCh. SH - Prob. 9.8MPSCh. SH - Prob. 9.9MPSCh. SH - Prob. 9.10MPSCh. SH - Prob. 10.1MPSCh. SH - Prob. 10.2MPSCh. SH - Prob. 10.3MPSCh. SH - Prob. 10.4MPSCh. SH - Prob. 10.5MPSCh. SH - Prob. 10.6MPSCh. SH - Prob. 10.7MPSCh. SH - Prob. 10.8MPSCh. SH - Prob. 10.9MPSCh. SH - Prob. 10.10MPSCh. SH - Prob. 11.1MPSCh. SH - Prob. 11.2MPSCh. SH - Prob. 11.3MPSCh. SH - Prob. 11.4MPSCh. SH - Prob. 11.5MPSCh. SH - Prob. 11.6MPSCh. SH - Prob. 11.7MPSCh. SH - Prob. 11.8MPSCh. SH - Prob. 12.1MPSCh. SH - Prob. 12.2MPSCh. SH - Prob. 12.3MPSCh. SH - Prob. 12.4MPSCh. SH - Prob. 12.5MPSCh. SH - Prob. 12.6MPSCh. SH - Prob. 12.7MPSCh. SH - Prob. 13.1MPSCh. SH - Prob. 13.2MPSCh. SH - Prob. 13.3MPSCh. SH - Prob. 13.4MPSCh. SH - Prob. 13.5MPSCh. SH - Prob. 13.6MPSCh. SH - Prob. 13.7MPSCh. SH - Prob. 13.8MPSCh. SH - Prob. 14.1MPSCh. SH - Prob. 14.2MPSCh. SH - Prob. 14.3MPSCh. SH - Prob. 14.4MPSCh. SH - Prob. 14.5MPSCh. SH - Prob. 14.6MPSCh. SH - Prob. 14.7MPSCh. SH - Prob. 14.8MPSCh. SH - Prob. 14.9MPSCh. SH - Prob. 14.10MPSCh. SH - Prob. 14.11MPSCh. SH - Prob. 14.12MPS
Additional Math Textbook Solutions
Find more solutions based on key concepts
Show that 34=12 using each of the following models. a. Repeated-addition number line b. Rectangular array c. Ar...
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Sampling Method. In Exercises 9-12, determine whether the sampling method appears to be sound or is flawed.
9. ...
Elementary Statistics
Angular size A boat sails directly toward a 150-meter skyscraper that stands on the edge of a harbor. The angul...
Calculus: Early Transcendentals (2nd Edition)
Fill in each blank so that the resulting statement is true.
1. A combination of numbers, variables, and opera...
College Algebra (7th Edition)
In Exercises 11-20, express each decimal as a percent.
11. 0.59
Thinking Mathematically (6th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- How long is a guy wire reaching from the top of a 15-foot pole to a point on the ground 9-feet from the pole? Question content area bottom Part 1 The guy wire is exactly feet long. (Type an exact answer, using radicals as needed.) Part 2 The guy wire is approximatelyfeet long. (Round to the nearest thousandth.)arrow_forwardQuestion 6 Not yet answered Marked out of 5.00 Flag question = If (4,6,-11) and (-12,-16,4), = Compute the cross product vx w karrow_forwardConsider the following vector field v^-> (x,y): v^->(x,y)=2yi−xj What is the magnitude of the vector v⃗ located in point (13,9)? [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places]arrow_forward
- Question 4 Find the value of the first element for the first row of the inverse matrix of matrix B. 3 Not yet answered B = Marked out of 5.00 · (³ ;) Flag question 7 [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places] Answer:arrow_forwardQuestion 2 Not yet answered Multiply the following Matrices together: [77-4 A = 36 Marked out of -5 -5 5.00 B = 3 5 Flag question -6 -7 ABarrow_forwardAssume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the abovearrow_forward
- Select the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the abovearrow_forwardWhich of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward
- (20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forwardFind the perimeter and areaarrow_forwardAssume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the abovearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSON
Contemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage Learning
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSON
Introduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
What is a Relation? | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=hV1_wvsdJCE;License: Standard YouTube License, CC-BY
RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY