
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter SH, Problem 14.1.4EP
To determine
To simplify: the given polynomial.
Expert Solution & Answer

Answer to Problem 14.1.4EP
The required result is
Explanation of Solution
Given:
Calculation:
Consider the below tiles.
Here green tiles shows positive numbers and red tiles represent negative numbers.
Group the tiles with same shape.
Remove zero pairs.
Combine the like tiles.
Polynomial for the remaining tiles is
Hence, the result is
Conclusion:
The required result is
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. 13.8MPS
Additional Math Textbook Solutions
Find more solutions based on key concepts
15. Smartphones Based on an LG smartphone survey, assume that 51% of adults with smartphones use them in theate...
Elementary Statistics (13th Edition)
Explain the meaning of the term “statistically significant difference” in statistics terminology.
Intro Stats, Books a la Carte Edition (5th Edition)
Two cards are randomly selected from an ordinary playing deck. What is the probability that they loin, a blackj...
A First Course in Probability (10th Edition)
Sampling Method. In Exercises 9-12, determine whether the sampling method appears to be sound or is flawed.
9. ...
Elementary Statistics
Mathematical Connections Explain why 25 cents is one-fourth of a dollar, yet 15 minutes is one-fourth of an hou...
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th 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
- x/x-2 + 3/x-4arrow_forwardQ1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N then dim M = dim N but the converse need not to be true. B: Let A and B two balanced subsets of a linear space X, show that whether An B and AUB are balanced sets or nor verly A:LeLM be a subset of a linear space X, show that M is a hyperplane of X iff there exists fe X'/[0] and a EF such that M = {x Ex/f(x) = = a}. B:Show that every two norms on finite dimension linear space are equivalent C: Let f be a linear function from a normed space X in to a normed space Y, show that continuous at x, EX iff for any sequence (x) in X converge to x, then the sequence (f(x)) converge to (f(x)) in Y.arrow_forward2/26 Delta Math | Schoology X Unit 4: Importance of Education X Speech at the United Nations b x Book Thief Part 7 Summaries x + > CA Materials pdsd.schoology.com/external_tool/3157780380/launch ☆ MC Updates Grades Members BrainPOP Canva for Education DeltaMath Discovery Education FactCite Gale In Context: High Sc. Graw McGraw Hill K-12 SSO Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. Click twice to plot each segment. Click a segment to delete it. 10 9 8 5 сл y Hill Nearpod 3 2 Newsela -10 -9 -8 -7 b -5 -4-3-2 -1 1 23 4 5 b 7 89 10 Scholastic Digital Mana. World Book Online Information Grading periods MP3: 2025-01-25-2025-03- 31, MP4: 2025-04-01-2025- 06-13 ← 2 M -> C % 95 54 # m e 4 7 巴 DELL A t y & * ) 7 8 9 . i L Feb 27 12:19 US + 11arrow_forward
- Let & be linear map from as Pacex into aspace and {X1, X2, – 1— x3 basis for x show that f a one-to-one isf {f(x1), f (xx); — F (Kn) } linearly independent. மம் let M be a Proper sub space of aspace X then M is ahyper space iff for any text&M X=. C) let X be a linear space and fe X1{0} Show that is bjective or not and why? ***********arrow_forwardQ₁/(a) Let S and T be subsets of a vector space X over a field F such that SCT,show that whether (1) if S generate X then T generate X or not. (2) if T generate X then S generate X or not. (b) Let X be a vector space over a field F and A,B are subsets of X such that A is convex set and B is affine set, show that whether AnB is convex set or not, and if f be a function from X into a space Y then f(B) is an affine set or not. /(a) Let M and N be two hyperspaces of a space X write a condition to prove MUN is a hyperspace of X and condition to get that MUN is not hyperspace of X. Write with prove application n Panach theoremarrow_forwardMatch the division problem on the left with the correct quotient on the left. Note that the denominators of the reminders are omitted and replaced with R. 1) (k3-10k²+k+1) ÷ (k − 1) 2) (k4-4k-28k45k+26)+(k+7) 3) (20k+222-7k+7)+(5k-2) 4) (3+63-15k +32k-25)+(k+4) 5) (317k 13) ÷ (k+4) - 6) (k-k+8k+5)+(k+1) 7) (4-12k+6) + (k-3) 8) (3k+4k3 + 15k + 10) ÷ (3k+4) A) 3k3-6k29k - 4 B) 4k2 + 6 R 7 C)²-9k-8- R D) 4k2+6x+1+ E) 10 Elk³-5-12 R 9 F) k² - 4k R 9 R G) k3-3k2-7k+4 H) k³-k²+8 - 3 R - R 9 Rarrow_forward
- Answer choices are: 35 7 -324 4 -9 19494 5 684 3 -17 -3 20 81 15 8 -1 185193arrow_forwardlearn.edgenuity : C&C VIP Unit Test Unit Test Review Active 1 2 3 4 Which statement is true about the graph of the equation y = csc¯¹(x)? There is a horizontal asymptote at y = 0. उद There is a horizontal asymptote at y = 2. There is a vertical asymptote at x = 0. O There is a vertical asymptote at x=- R Mark this and return C Save and Exit emiarrow_forwardے ملزمة احمد Q (a) Let f be a linear map from a space X into a space Y and (X1,X2,...,xn) basis for X, show that fis one-to- one iff (f(x1),f(x2),...,f(x) } linearly independent. (b) Let X= {ao+ax₁+a2x2+...+anxn, a;ER} be a vector space over R, write with prove a hyperspace and a hyperplane of X. مبر خد احمد Q₂ (a) Let M be a subspace of a vector space X, and A= {fex/ f(x)=0, x E M ), show that whether A is convex set or not, affine set or not. Write with prove an application of Hahn-Banach theorem. Show that every singleton set in a normed space X is closed and any finite set in X is closed (14M)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege 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
Polynomials with Trigonometric Solutions (2 of 3: Substitute & solve); Author: Eddie Woo;https://www.youtube.com/watch?v=EnfhYp4o20w;License: Standard YouTube License, CC-BY
Quick Revision of Polynomials | Tricks to Solve Polynomials in Algebra | Maths Tricks | Letstute; Author: Let'stute;https://www.youtube.com/watch?v=YmDnGcol-gs;License: Standard YouTube License, CC-BY
Introduction to Polynomials; Author: Professor Dave Explains;https://www.youtube.com/watch?v=nPPNgin7W7Y;License: Standard Youtube License