Let F = x²yi – xy'j+ (z+2)k be a vector field. Use the Diver- gence Theorem to evaluate ſſ, F ·ndS where o is the closed surface of the solid bounded below by the paraboloid z = r² + y² and above by the plane z = 2x and oriented by the outward unit normal n.
Let F = x²yi – xy'j+ (z+2)k be a vector field. Use the Diver- gence Theorem to evaluate ſſ, F ·ndS where o is the closed surface of the solid bounded below by the paraboloid z = r² + y² and above by the plane z = 2x and oriented by the outward unit normal n.
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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Hi there, I am stuck on the following problem involving divergence!
Transcribed Image Text:Let F = x?yi – xy²j+ (z + 2)k be a vector field. Use the Diver-
gence Theorem to evaluate Sf, F . nds where o is the closed surface
of the solid bounded below by the paraboloid z = r² + y? and above
by the plane z = 2x and oriented by the outward unit normal n.
Answer: 7/2.
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