Compute the differential of surface area for the surface S described by the given parametrization. (u, v) = (eu cos(v), eª sin(v), uv), D = {(u, v) | 0 ≤ u ≤ 4, 0 ≤ v ≤ 2π} 1) dS = dA

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Compute the differential of surface area for the surface S described by the given parametrization.
r(u, v) = (e
cos(v), e“ sin(v), uv), D = {(u, v) | 0 ≤ u ≤ 4, 0 ≤ v ≤ 2π}
ds=
dA
Transcribed Image Text:Compute the differential of surface area for the surface S described by the given parametrization. r(u, v) = (e cos(v), e“ sin(v), uv), D = {(u, v) | 0 ≤ u ≤ 4, 0 ≤ v ≤ 2π} ds= dA
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