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9. Find the flux of F =(x, -y, z²) across the solid that is enclosed by the hemisphere z=√√4x² - y² and the plane z=0. Assume an outward or positive orientation. You may compute this by computing fF.d.S across the surfaces OR by using the Divergence Theorem fff div(F)dV S E In other words, compute just one side of the equation fF.dS fF+dS = fff div(F)dV E

9. Find the flux of F =(x, -y, z²) across the solid that is enclosed by the hemisphere z=√√4x² - y² and the plane z=0. Assume an outward or positive orientation. You may compute this by computing fF.d.S across the surfaces OR by using the Divergence Theorem fff div(F)dV S E In other words, compute just one side of the equation fF.dS fF+dS = fff div(F)dV E

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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9. Find the flux of F = (x, y, z² across the solid that is enclosed by the hemisphere z=√√4x² - y² and the - plane z=0. Assume an outward or positive orientation. You may compute this by computing fF.dS across the surfaces OR by using the Divergence Theorem ſ div(F)dV S E In other words, compute just one side of the equation S F•dS = ſſf div(F)dV E
Transcribed Image Text:9. Find the flux of F = (x, y, z² across the solid that is enclosed by the hemisphere z=√√4x² - y² and the - plane z=0. Assume an outward or positive orientation. You may compute this by computing fF.dS across the surfaces OR by using the Divergence Theorem ſ div(F)dV S E In other words, compute just one side of the equation S F•dS = ſſf div(F)dV E
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