Among all rectangular solids defined by the inequalities 0 x a, 0 y b, 0 z 1, find the one for which the total flux of F ( x 2 4xy)i 6yzj 12zk outward through the six sides is greatest What is the greatest flux

Question: Among all rectangular solids defined by the inequalities 0 x a, 0 y b, 0 z 1, find the

Among all rectangular solids defined by the inequalities 0 ≤ x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ 1, find the one for which the total flux of F = (-x² - 4xy)i - 6yzj + 12zk outward through the six sides is greatest. What is the greatest flux?

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