Answer all parts please +) Use the divergence theorem to calculate the flux of the vector fieldF(x, y, z) = xªi + (5y − 4x³y)j + 9zk through the sphere S of radius 6 centered at the origin andoriented outward.[[F.SF.dA=

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Answered: Use the divergence theorem to calculate…

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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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