Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Evaluate the surface integral
//
S
where F(x, y, z) = xi + yj + z²k and S is the surface parameterized by
F.dS,
Þ(u, v) = (2 sin u, 3 cos u, v)
with 0 ≤ u ≤ 2π and 0 ≤ v ≤ 1.
||$
F.dS=
=
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Transcribed Image Text:Evaluate the surface integral // S where F(x, y, z) = xi + yj + z²k and S is the surface parameterized by F.dS, Þ(u, v) = (2 sin u, 3 cos u, v) with 0 ≤ u ≤ 2π and 0 ≤ v ≤ 1. ||$ F.dS= =
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