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 - 8xy)i - 4yzj + 10zk outward through the six sides is greatest. What is the greatest flux? The greatest flux occurs for a = and b =

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter79: Computing Compound Angles On Cutting And Forming Tools
Section: Chapter Questions
Problem 4A
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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 - 8xy)i - 4yzj + 10zk outward through the six sides is greatest. What is the greatest flux?
The greatest flux occurs for a =
and b =
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 - 8xy)i - 4yzj + 10zk outward through the six sides is greatest. What is the greatest flux? The greatest flux occurs for a = and b =
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