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Question: Find the augmented matrix for the following system of linear equations:
2x + 9y + 22z = 53
6x + 26y + 63z = 151
7x + 28y + 66z = 156
Explain and give examples for the following:- Equivalent sets vs. Equal sets-Cardinality of sets and how cardinality relates to the number of subsets of a set
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Among all rectangular solids defined by the inequalities 0 ≤ x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ 1, find the one for which the outward flux of F = (-x2 - 4xy)i - 6yzj + 12zk outward through the six sides is greatest. What is this maximum flux?
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