Use the Divergence Theorem to calculate the surface integral F. dS; that is, calculate the flux of F across S. F(x, y, z) = 3xy²i + xe²j + z³k, S is the surface of the solid bounded by the cylinder y2 + z2 = 16. and the planes x = -4 and x = 2

Use the Divergence Theorem to calculate the surface integral F. dS; that is, calculate the flux of F across S. F(x, y, z) = 3xy²i + xe²j + z³k, S is the surface of the solid bounded by the cylinder y2 + z2 = 16. and the planes x = -4 and x = 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

Use the Divergence Theorem to calculate the surface integral
F•
dS; that is, calculate the flux of F
across S.
F(x, y, z) = 3xy²i + xe²j + z³k,
S is the surface of the solid bounded by the cylinder y2 + z2 :
= 16. and the planes x = -4 and x = 2

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