Suppose that surface o is parameterized by r(u, v) = (u cos (2v), u sin(2v), v), 0≤u≤ 5 and 0 ≤u< ¹T and f(x, y, z) = x² + y² + z². Set up the surface integral (you don't need to evaluate it). [[ f(x, y, z) ds LI [ƒ ƒ (x(u, v), y(u, v), z(u, v)) R Ər du Ər მა dA du dv

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Suppose that surface o is parameterized by
r(u, v) = (u cos (2v), u sin(2v), v), 0≤u≤ 5 and 0 ≤u≤ 1T
and f(x, y, z) = x² + y² + z². Set up the surface integral (you don't need to evaluate it).
[[ f(x, y, z) ds = [[ f (x(u, v), y(u, v), z(u, v))
σ
R
LI
მუ
du
Ər
მა
dA
du dv
Transcribed Image Text:Suppose that surface o is parameterized by r(u, v) = (u cos (2v), u sin(2v), v), 0≤u≤ 5 and 0 ≤u≤ 1T and f(x, y, z) = x² + y² + z². Set up the surface integral (you don't need to evaluate it). [[ f(x, y, z) ds = [[ f (x(u, v), y(u, v), z(u, v)) σ R LI მუ du Ər მა dA du dv
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