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b) Given F(r, y, z) = (x³ + cosh z) i+ (2y - 3ry)j – (x² + 4y²z) k. Use %3D Gauss's theorem to calculate F.n dS where n is the outward unit normal of o, the surface bounded by the planes, r 0, z = 0 ane r+2 = 6, and the parabolic cylinder r = 4 – y?.

b) Given F(r, y, z) = (x³ + cosh z) i+ (2y - 3ry)j – (x² + 4y²z) k. Use %3D Gauss's theorem to calculate F.n dS where n is the outward unit normal of o, the surface bounded by the planes, r 0, z = 0 ane r+2 = 6, and the parabolic cylinder r = 4 – y?.

Advanced Engineering Mathematics
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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b) Given F(r, y, 2) = (x³ + cosh z) i+ (2y – 3r?y)j – (x² + 4y²z) k. Use Gauss's theorem to calculate |F.n dS where n is the outward unit normal of o, the surface bounded by the planes, r = 0, z = 0 and r+z = 6, and the parabolic cylinder r = 4- y?.
Transcribed Image Text:b) Given F(r, y, 2) = (x³ + cosh z) i+ (2y – 3r?y)j – (x² + 4y²z) k. Use Gauss's theorem to calculate |F.n dS where n is the outward unit normal of o, the surface bounded by the planes, r = 0, z = 0 and r+z = 6, and the parabolic cylinder r = 4- y?.
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