b) Given F(r. y. :) = (r* + cosh : )i+(2y – 3.r"y) j - (r + 4y:) k. Use Gauss's theorem to calculate F.u dS where n is the outward mit normal of a, the surface bounded by the planes, r= 0,: = 0 and r+:= 6. and the parabolic cylinder r = 4- y?.
b) Given F(r. y. :) = (r* + cosh : )i+(2y – 3.r"y) j - (r + 4y:) k. Use Gauss's theorem to calculate F.u dS where n is the outward mit normal of a, the surface bounded by the planes, r= 0,: = 0 and r+:= 6. and the parabolic cylinder r = 4- y?.
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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Transcribed Image Text:b) Given F(.r. y. :) = (* + cosh 2) i+(2y – 3.")j - ( + 4y":) k. Use
Gauss's theorem to caleulate
F.
· Il dS where n is the outward
mit normal of a, the surface bounded by the planes, r= 0,: = 0 and
a+: = 6, and the parabolic cylinder r 4- y.
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