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Let F = x'yi – xy²j+ (z + 2)k be a vector field. Use the Diver- gence Theorem to evaluate ff,F·ndS where o is the closed surface of the solid bounded below by the paraboloid z = x? + y? and above by the plane z = 2x and oriented by the outward unit normal n. Answer: 7/2.

Let F = x'yi – xy²j+ (z + 2)k be a vector field. Use the Diver- gence Theorem to evaluate ff,F·ndS where o is the closed surface of the solid bounded below by the paraboloid z = x? + y? and above by the plane z = 2x and oriented by the outward unit normal n. Answer: 7/2.

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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Let F = x'yi – xy²j+ (z + 2)k be a vector field. Use the Diver- gence Theorem to evaluate ff,F·ndS where o is the closed surface of the solid bounded below by the paraboloid z = x? + y? and above by the plane z = 2x and oriented by the outward unit normal n. Answer: 7/2.
Transcribed Image Text:Let F = x'yi – xy²j+ (z + 2)k be a vector field. Use the Diver- gence Theorem to evaluate ff,F·ndS where o is the closed surface of the solid bounded below by the paraboloid z = x? + y? and above by the plane z = 2x and oriented by the outward unit normal n. Answer: 7/2.
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