a) Let F. 2x³ +Y;+2 cosz+X+23³ k +2005 3 j+ -k be the vector field. Use the Divergence Theorem to find the flux across S, where S is the surface of the solid bounded by the hemisphere z= √√4-x²-y² and the plane z = 0.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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a) Let F
2x³
3
X₁+2 (cosz+ X₁²₁ +22²³ K
+2005 j+ -k be the vector field. Use the Divergence
3
3
13
Theorem to find the flux across S, where S is the surface of the solid bounded by the
hemisphere z= √√4-x²-y² and the plane z = 0.
Transcribed Image Text:a) Let F 2x³ 3 X₁+2 (cosz+ X₁²₁ +22²³ K +2005 j+ -k be the vector field. Use the Divergence 3 3 13 Theorem to find the flux across S, where S is the surface of the solid bounded by the hemisphere z= √√4-x²-y² and the plane z = 0.
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