c) Calculate the flux of the vector field: F(x,y,z) = x²į + y²j + z²k across the outer side of the surface S, z = 1-√√x² + y²,0 ≤z ≤ 1

Elementary Linear Algebra (MindTap Course List)
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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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c) Calculate the flux of the vector field: F(x,y,z) = x²į + y²j + z²k across the outer side of
the surface S, z = 1-√√x² + y²2,0 ≤z≤1
Transcribed Image Text:c) Calculate the flux of the vector field: F(x,y,z) = x²į + y²j + z²k across the outer side of the surface S, z = 1-√√x² + y²2,0 ≤z≤1
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