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| Let o be the portion of the cone given by z = Vr2 + y² between the planes z = 1 and z = 2, oriented by the upward unit normal n. The surface o is not closed and has no top or bottom. Let F = ri+yj+2zk be a vector field. Evaluate the flux integral: SS, F · n dS. Answer: 147/3.

| Let o be the portion of the cone given by z = Vr2 + y² between the planes z = 1 and z = 2, oriented by the upward unit normal n. The surface o is not closed and has no top or bottom. Let F = ri+yj+2zk be a vector field. Evaluate the flux integral: SS, F · n dS. Answer: 147/3.

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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Hi, Im stuck on how to do the flux integral.

 

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Let o be the portion of the cone given by z = Vr2 + y² between the planes z = 1 and z = 2, oriented by the upward unit normal n. The surface o is not closed and has no top or bottom. Let F = xi+yj+2zk be a vector field. Evaluate the flux integral: SL, F.ndS. Answer: 147/3.
Transcribed Image Text:Let o be the portion of the cone given by z = Vr2 + y² between the planes z = 1 and z = 2, oriented by the upward unit normal n. The surface o is not closed and has no top or bottom. Let F = xi+yj+2zk be a vector field. Evaluate the flux integral: SL, F.ndS. Answer: 147/3.
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