b) Given F(x, Y, z) = (x³ + cosh z) i+ (2y³ – 3x²y)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, x = 0, z = 0 and TM x+ z = 6, and the parabolic cylinder x = 4 – y².

b) Given F(x, Y, z) = (x³ + cosh z) i+ (2y³ – 3x²y)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, x = 0, z = 0 and TM x+ z = 6, and the parabolic cylinder x = 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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Question

b) Given F(x, Y, z) = (x³ + cosh z) i+ (2y³ – 3x²y)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, x = 0, z = 0 and
UTM
x + z = 6, and the parabolic cylinder x =
4 – y².

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