Use the Divergence Theorem to compute the flux of the field-arctan25x cos z, 6xy ) out of the region E that lies between the spheresz² + y2x² + y² + z²2² + y?25 and x + y² + z236 in the first octant.

Given, 1z2+y2arc tanxz2+y2, 25xcosz, 6xy out of the region E that lies between the spheres…

Answered: Use the Divergence Theorem tO compute…

Use the Divergence Theorem tO compute the flux oT the field 1 25x cos z, 6xy ) out of the region E that lies between the sphere y? arctan z² + y² 2. 2 2

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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Question

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Use the Divergence Theorem to compute the flux of the field
-arctan
25x cos z, 6xy ) out of the region E that lies between the spheres
z² + y2
x² + y² + z²
2² + y?
25 and x + y² + z2
36 in the first octant.

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