Among all rectangular solids defined by the inequalities 0 x a, 0 y

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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 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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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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