Suppose that surface o is parameterized by r(u, v) = (u cos(6v), u sin(6v), v), 0 < u < 3 and 0< v< and f(x, y, 2) = x² + y² + z². Set up the surface integral (you don't need to evaluate it). || f(x,y, 2) dS - ar f (x(u, v), y(u, υ), z(u, υ))| ar dA du R du dv Submit answer

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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Suppose that surface o is parameterized by
r(u, v) = (u cos(6v), u sin(6v), v), 0 < u < 3 and 0< v<
and f(x, y, 2) = x² + y² + z². Set up the surface integral (you don't need to evaluate it).
|| f(x,y, 2) dS -
ar
f (x(u, v), y(u, υ), z(u, υ))|
ar
dA
du
R
du dv
Submit answer
Transcribed Image Text:Suppose that surface o is parameterized by r(u, v) = (u cos(6v), u sin(6v), v), 0 < u < 3 and 0< v< and f(x, y, 2) = x² + y² + z². Set up the surface integral (you don't need to evaluate it). || f(x,y, 2) dS - ar f (x(u, v), y(u, υ), z(u, υ))| ar dA du R du dv Submit answer
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