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9. Find the flux of F = (x₁ - y, z²) across the solid that is enclosed by the hemisphere z = plane z=0. Assume an outward or positive orientation. You may compute this by computing fF.d. S In other words, compute just one side of the equation •dS across the surfaces OR by using the Divergence Theorem fff div(F)dv E S x² - y² and the F•dS = fff div(F)dV E

9. Find the flux of F = (x₁ - y, z²) across the solid that is enclosed by the hemisphere z = plane z=0. Assume an outward or positive orientation. You may compute this by computing fF.d. S In other words, compute just one side of the equation •dS across the surfaces OR by using the Divergence Theorem fff div(F)dv E S x² - y² and the F•dS = fff div(F)dV E

Advanced Engineering Mathematics
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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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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