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Let F = (x – 2)i + (y – 2)j + (z – y)k be a vector field. Use the Divergence Theorem to evaluate ff, F .ndS where o is the closed surface of the cylindrical solid bounded by r? + y² = a², z = 0, z = 1 and oriented by the outward unit normal n Answer: 3ra?

Let F = (x – 2)i + (y – 2)j + (z – y)k be a vector field. Use the Divergence Theorem to evaluate ff, F .ndS where o is the closed surface of the cylindrical solid bounded by r? + y² = a², z = 0, z = 1 and oriented by the outward unit normal n Answer: 3ra?

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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Hello, Im stuck on this problem involving divergence theorem

 

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Let F = (x – z)i + (y – x)j + (z – y)k be a vector field. Use the Divergence Theorem to evaluate ff, F .ndS where o is the closed surface of the cylindrical solid bounded by r? + y² = a², z = 0, z = 1 and oriented by the outward unit normal n. Answer: 37a?.
Transcribed Image Text:Let F = (x – z)i + (y – x)j + (z – y)k be a vector field. Use the Divergence Theorem to evaluate ff, F .ndS where o is the closed surface of the cylindrical solid bounded by r? + y² = a², z = 0, z = 1 and oriented by the outward unit normal n. Answer: 37a?.
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