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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3f37e68-88de-4306-a4b5-2b53e35e5728%2Fa7b82fef-508f-49f8-a5fe-031631f4c9d2%2Fuuk23vi_processed.png&w=3840&q=75)
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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