Use the Divergence Theorem to calculate the flux of the vector fields F1 = -8zi + 8ak and F2 = -8zi + (y + 2)j+ 8xk through the surface S given by the sphere of radius a centered at the origin with outwards orientation. Be sure that you are able to explain your answers geometrically. With W giving the interior of the sphere, Ss F - dà = fw dV = and Ss F2 · dà = Sw dV =
Use the Divergence Theorem to calculate the flux of the vector fields F1 = -8zi + 8ak and F2 = -8zi + (y + 2)j+ 8xk through the surface S given by the sphere of radius a centered at the origin with outwards orientation. Be sure that you are able to explain your answers geometrically. With W giving the interior of the sphere, Ss F - dà = fw dV = and Ss F2 · dà = Sw dV =
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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