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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 LI [ƒ ƒ (x(u, v), y(u, v), z(u, v)) R Ər du Ər მა dA du dv

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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 27E
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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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