Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Suppose F(x, y, z) = (x, y, 5z). Let W be the solid bounded by the paraboloid z = x² + y² and the
plane z = = 9. Let S be the closed boundary of W oriented outward.
(a) Use the divergence theorem to find the flux of F through S.
If · dÃ
S
=
|
(b) Find the flux of F out the bottom of S (the truncated paraboloid) and the top of S (the disk).
Flux out the bottom=
Flux out the top =
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Transcribed Image Text:Suppose F(x, y, z) = (x, y, 5z). Let W be the solid bounded by the paraboloid z = x² + y² and the plane z = = 9. Let S be the closed boundary of W oriented outward. (a) Use the divergence theorem to find the flux of F through S. If · dà S = | (b) Find the flux of F out the bottom of S (the truncated paraboloid) and the top of S (the disk). Flux out the bottom= Flux out the top =
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