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b) Use Gauss theorem to evaluate F.ndS, where F(r, y, 2) = (2x²y² + In z) i – xy³ j – tanh(a² + y³) k and n is the outward unit normal of o, the surface bounded by the paraboloid x = Vz – y?, the yz-plane and the plane z = 1.

b) Use Gauss theorem to evaluate F.ndS, where F(r, y, 2) = (2x²y² + In z) i – xy³ j – tanh(a² + y³) k and n is the outward unit normal of o, the surface bounded by the paraboloid x = Vz – y?, the yz-plane and the plane z = 1.

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) Use Gauss theorem to evaluate F.ndS, where F(x, y, z) = (2x²y² + In z) i – xy' j – tanh(a² + y³) k and n is the outward unit normal of o, the surface bounded by the paraboloid r = Vz - y?, the yz-plane and the plane z = 1.
Transcribed Image Text:b) Use Gauss theorem to evaluate F.ndS, where F(x, y, z) = (2x²y² + In z) i – xy' j – tanh(a² + y³) k and n is the outward unit normal of o, the surface bounded by the paraboloid r = Vz - y?, the yz-plane and the plane z = 1.
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