Evaluate the surface integral ff 2y dS, where S is part of the surface of a paraboloid with parameterizationS2πr(u, v) = (2v cos (u), 2v sin (u), v²) where 0 ≤ u ≤3Round your answer to two decimal places if necessary.Provide your answer below:JS 2y ds units²and 0 ≤ v ≤ 3.

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Evaluate the surface integral ff 2y d.S, where S is part of the surface of a paraboloid with parameterization S 2π r(u, v) = (2v cos (u), 2v sin (u), v²) where 0 ≤ u ≤. 3 and 0 ≤ v ≤ 3.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Question

Evaluate the surface integral ff 2y dS, where S is part of the surface of a paraboloid with parameterization
S
2π
r(u, v) = (2v cos (u), 2v sin (u), v²) where 0 ≤ u ≤
3
Round your answer to two decimal places if necessary.
Provide your answer below:
JS 2y ds units²
and 0 ≤ v ≤ 3.

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