Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x² + y² = 81, 0 ≤ z ≤ 1, and a hemispherical cap defined by x² + y² + (z − 1)² = 81, z ≥ 1. For the vector field F = (zx + z²y + 2y, z³yx + 6x, z4x²), compute (VF). dS in any way you like. SSM (V x F). ds =

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x² + y² = 81, 0 ≤ z ≤ 1, and a hemispherical cap
(V × F) · dS in any way you
defined by x² + y² + (z − 1)² = 81, z ≥ 1. For the vector field F = (zx + z²y + 2y, z³yx + 6x, z4x²), compute
M
like.
SSM(V × F) · ds :
Transcribed Image Text:Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x² + y² = 81, 0 ≤ z ≤ 1, and a hemispherical cap (V × F) · dS in any way you defined by x² + y² + (z − 1)² = 81, z ≥ 1. For the vector field F = (zx + z²y + 2y, z³yx + 6x, z4x²), compute M like. SSM(V × F) · ds :
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