Use the divergence theorem to evaluate F.dS, where F (x, y, z) = zxi – e"´j+ 4zk and S is the surface of the region bounded by the paraboloid z = 4 – x2 – y? and the x - y plane. %3D
Use the divergence theorem to evaluate F.dS, where F (x, y, z) = zxi – e"´j+ 4zk and S is the surface of the region bounded by the paraboloid z = 4 – x2 – y? and the x - y plane. %3D
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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Transcribed Image Text:Use the divergence theorem to evaluate
F.dS,
where
F (x, y, z) = zxi – e"¯ j+ 4zk
and S is the surface of the region bounded by the paraboloid z = 4 – x² – y² and the x – y plane.
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