Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = x¹ỉ + (5y − 4x³y)j + 9zk through the sphere S of radius 6 centered at the origin and oriented outward. [F F. dA= = S
Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = x¹ỉ + (5y − 4x³y)j + 9zk through the sphere S of radius 6 centered at the origin and oriented outward. [F F. dA= = S
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:+) Use the divergence theorem to calculate the flux of the vector field
F(x, y, z) = xªi + (5y − 4x³y)j + 9zk through the sphere S of radius 6 centered at the origin and
oriented outward.
[[F.
S
F.dA=
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