10. [ Find the flux of the vector field F(x, y, z)= < x³ + y²sin z², y³ +z¹ sinx², 3z > 3 over the surface S, where S is the surface of the solid bounded by the hemispheres z = √√√4-x² - y², plane z = 0. z = √√√1-x² - y², and the

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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10. [J
Find the flux of the vector field
3
F(x, y, z)= < x³ + y²sin z², y³ + z² sin x², 3z >
over the surface S, where S is the surface of the
solid
bounded
by the
hemispheres
z= √1-x² - y², and the
z = √√√4-x² - y²,
plane z=0.
Transcribed Image Text:10. [J Find the flux of the vector field 3 F(x, y, z)= < x³ + y²sin z², y³ + z² sin x², 3z > over the surface S, where S is the surface of the solid bounded by the hemispheres z= √1-x² - y², and the z = √√√4-x² - y², plane z=0.
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