Usethe divergence theorem toflux SSFof the vector fieldfind the outwarde²² + 10 cos xj + √√x² + y² + z² k, where S is the surface of the region bounded by theand x² + y² + z² = 4.F = tan−¹(2y + 4z)i +graphs of z =√√√x² + y²F.ndS

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Answered: Use the divergence theorem to find the…

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 find the outward flux F = tan−¹(2y + 4z)i + ez² + 10 cos xj + √√x² + y² + z² k, where S is the surface of the region bounded by the graphs of z = √√x² + y² and x² + y² + z² = 4. SSF. F.ndS of the vector field