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[ f(x, y, z) ds = 2) ds = f f f (x(u, v), y(u, v), z(u, v)) || R Ər ἂν dA

[ f(x, y, z) ds = 2) ds = f f f (x(u, v), y(u, v), z(u, v)) || R Ər ἂν dA

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(1 point) Suppose that surface o is parameterized by 1# r(u, v) = (u cos(4v), u sin(4v), v), 0≤ u≤7 and 0 ≤ v≤ ¹ 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)) R = pi/2 0 7 0 u^2 + y^2 Ər Ər X dv dA sqrt(1+16u^2) du dv
Transcribed Image Text:(1 point) Suppose that surface o is parameterized by 1# r(u, v) = (u cos(4v), u sin(4v), v), 0≤ u≤7 and 0 ≤ v≤ ¹ 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)) R = pi/2 0 7 0 u^2 + y^2 Ər Ər X dv dA sqrt(1+16u^2) du dv
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