[[F F = (4r³z, 4y³z, 3z¹) S is the surface of the solid bounded by the hemispheres z = √9x² - y², z = √√4- x² - y² and the plane z = 0. Calculate F.ds where 250

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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SSF
F = (4x³z, 4y³z, 324)
S is the surface of the solid bounded by the hemispheres z = √√9-x² — y², z = √√ 4 – x² - y² and the
plane z = 0.
Calculate
F.ds where
Transcribed Image Text:SSF F = (4x³z, 4y³z, 324) S is the surface of the solid bounded by the hemispheres z = √√9-x² — y², z = √√ 4 – x² - y² and the plane z = 0. Calculate F.ds where
Let F =<-yz, xz, xy >.
Use Stokes' Theorem to evaluate
[[ cur
S
curl F dS, where
S is the part of the paraboloid z = 15 - x² - y² that lies above the plane z = 11, oriented upwards
Transcribed Image Text:Let F =<-yz, xz, xy >. Use Stokes' Theorem to evaluate [[ cur S curl F dS, where S is the part of the paraboloid z = 15 - x² - y² that lies above the plane z = 11, oriented upwards
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