b) Given F(.r,y. :) = ( + cosh 2)i+ (2y-3r y)j-(r+4y:) k. UseGauss's theorem to calculateF.n dS where n is the outwardmit normal of a, the surface bounded by the planes, r = (0, ; = () andr+: = 6, and the parabolie cylinder r 4-y².

Answered: Image /qna-images/answer/4c5fc3cc-c47f-43d0-bc70-093e431c652f.jpg

b) Given F(.r, y. :) = (r + cosh 2)i+ (2y-3r*y)j-(r + 4y*:) k. Use Gauss's theorem to calculate F.n dS where n is the outward mit nornal of a, the surface bounded by the planes, r= 0,: = 0 and r+: = 6, and the parabolie cylinder r= 4- y².

b) Given F(.r, y. :) = (r + cosh 2)i+ (2y-3ry)j-(r + 4y:) k. Use Gauss's theorem to calculate F.n dS where n is the outward mit nornal of a, the surface bounded by the planes, r= 0,: = 0 and r+: = 6, and the parabolie cylinder r= 4- y².

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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Concept explainers

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

Question

b) Given F(.r,y. :) = ( + cosh 2)i+ (2y-3r y)j-(r+4y:) k. Use
Gauss's theorem to calculate
F.n dS where n is the outward
mit normal of a, the surface bounded by the planes, r = (0, ; = () and
r+: = 6, and the parabolie cylinder r 4-y².

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