Suppose F(x, y, z) = (x, y, 5z). Let W be the solid bounded by the paraboloid z = x² + y² and the plane z = 25. Let S be the closed boundary of W oriented outward. (a) Use the divergence theorem to find the flux of through S. JS = SS F.dÃ= = S (b) Find the flux of ♬ out the bottom of S (the truncated paraboloid) and the top of S (the disk). Flux out the bottom= Flux out the top =
Suppose F(x, y, z) = (x, y, 5z). Let W be the solid bounded by the paraboloid z = x² + y² and the plane z = 25. Let S be the closed boundary of W oriented outward. (a) Use the divergence theorem to find the flux of through S. JS = SS F.dÃ= = S (b) Find the flux of ♬ out the bottom of S (the truncated paraboloid) and the top of S (the disk). Flux out the bottom= Flux out the top =
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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