b) Given F(r, y, z) = (r³ + cosh z) i+ (2y3 – 3r*y)j – (2² + 4y²z) k. Use Gauss's theorem to calculate /F. 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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Chapter2: Second-order Linear Odes
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b) Given F(r, y, z) = (x³ + cosh z) i+ (2y³ – 3x²y)j – (x² + 4y²z) k. Use
Gauss's theorem to calculate /F.
.n dS wheren is the outward
unit normal of o, the surface bounded by the planes, x = 0, z = 0 and
UTM
a+z = 6, and the parabolic cylinder r = 4 – y.
Transcribed Image Text:b) Given F(r, y, z) = (x³ + cosh z) i+ (2y³ – 3x²y)j – (x² + 4y²z) k. Use Gauss's theorem to calculate /F. .n dS wheren is the outward unit normal of o, the surface bounded by the planes, x = 0, z = 0 and UTM a+z = 6, and the parabolic cylinder r = 4 – y.
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