Evaluate the surface integral ff G (x, y, z) dS, C where G (x, y, z) = x+y+z, and C is the parametric surface R (u, v) = (v u, u+v, 2u+ v + 1) for 0 ≤ u ≤ 2 and 0 ≤ v ≤ 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Evaluate the surface integral
ff G (x, y, z) dS,
с
where G (x, y, z) = x+y+z, and C is the parametric surface
R (u, v) = (v – u, u+v, 2u + v + 1) for 0 ≤ u ≤ 2 and 0 ≤ v ≤ 1.
Transcribed Image Text:Evaluate the surface integral ff G (x, y, z) dS, с where G (x, y, z) = x+y+z, and C is the parametric surface R (u, v) = (v – u, u+v, 2u + v + 1) for 0 ≤ u ≤ 2 and 0 ≤ v ≤ 1.
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