Among all rectangular solids defined by the inequalities 0≤x≤ a, 0≤ysb, 0szs1, find the one for which the total flux of F=(-x² - 4xy)i - 8yzj+7zk outward through the six sides is greatest. What is the greatest flux? The greatest flux occurs for a= and b=
Among all rectangular solids defined by the inequalities 0≤x≤ a, 0≤ysb, 0szs1, find the one for which the total flux of F=(-x² - 4xy)i - 8yzj+7zk outward through the six sides is greatest. What is the greatest flux? The greatest flux occurs for a= and b=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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 - 8yzj + 7zk outward through the six sides is greatest. What is the greatest flux?
The greatest flux occurs for a = and b=
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