Let F = (x – 2)i + (y – æ)j + (z – y)k be a vector field. Use the Divergence Theorem to evaluate fL, F ·ndS where o is the closed surface of the cylindrical solid bounded by r² + y² = a², z = 0, z = 1 and oriented by the outward unit normal n. Answer: 3ra?.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 x? + y? = 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 x? + y? = a², z = 0, z = 1 and oriented by the outward unit normal n. Answer: 37a?.
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