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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

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

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 16P
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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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