Problem #5:Use the divergence theorem tofind the outward flux SS³ F.ndS of the vector fieldF = cos(9y+72) i + 10ln(x² + 8z)j +52²k, where S is the surface of the region bounded within by thegraphs of = √√49- x² −₁², x² + y² = 9₁, and z = 0.

Using divergenge theorem we have to find the outward flux

Answered: Problem #5: SSF. Use the divergence…

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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#4. Given vector field F = (x + tan-¹(yz), 2y - 8e¹2xz, 4z³ - 10 ln(2x + y)). S is the surface defined as the part of the cone z = √√x² + y² that is under the plane z = 4. Use the divergence theorem to find the outward flux over S. [Extra going on here.]
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Problem #5: SSF. Use the divergence theorem to find the outward flux F = cos(9y + 7)i + 10ln(x² + 8z)j + 52²k, where S is the surface of the region bounded within by the graphs of = = √49-²-12²x² + y² = 9, and z = 0. F.nds of the vector field