Let F be the vector field F(x, y, z) = xi+yj+5zk and let S be the part of the cone z = √x² + y² beneath the plane z = 3, oriented using a downward pointing normal. Compute the flux of F through S, i.e. the surface integral fff-nds

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 87E
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Let F be the vector field
F(x, y, z) = xi+yj+ 5zk
2
and let S be the part of the cone z = √x² + y² beneath the plane z = 3, oriented using a downward pointing
normal. Compute the flux of F through S, i.e. the surface integral
Fonds
Transcribed Image Text:Let F be the vector field F(x, y, z) = xi+yj+ 5zk 2 and let S be the part of the cone z = √x² + y² beneath the plane z = 3, oriented using a downward pointing normal. Compute the flux of F through S, i.e. the surface integral Fonds
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