Use the Divergence Theorem to calculate the flux of the vector fields F₁ = -7zi+7ck and F₂ = −7zi + (5y+7)j + 7æk 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, Is F₁· dà = Swdv = [ and Ss F₂ · dà = Sw|dv = [
Use the Divergence Theorem to calculate the flux of the vector fields F₁ = -7zi+7ck and F₂ = −7zi + (5y+7)j + 7æk 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, Is F₁· dà = Swdv = [ 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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