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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 x + z = 6, and the parabolic cylinder x = 4 – y². %3D

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 x + z = 6, and the parabolic cylinder x = 4 – y². %3D

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b) Given F(x, y, z) = (x³ + cosh z) i+ (2y³ – 3r²y)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 x + z = 6, and the parabolic cylinder x = 4 – y².
Transcribed Image Text:b) Given F(x, y, z) = (x³ + cosh z) i+ (2y³ – 3r²y)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 x + z = 6, and the parabolic cylinder x = 4 – y².
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