Evaluate the surface integral ff 5y2 d.S, where S is part of the surface of a paraboloid with parameterization S r(u, v) = (2v cos (u), 2v sin (u), v²) where 0 ≤ u < 3 and 0 ≤ v ≤ 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Evaluate the surface integral ff5y² d.S, where S' is part of the surface of a paraboloid with parameterization
S
r(u, v) = (2v cos (u), 2v sin (u), v²) where 0 ≤ u ≤
and 0 ≤ v ≤ 1.
Round your answer to two decimal places if necessary.
Sorry, that's incorrect. Try again?
5y² ds 3.95 units²
Transcribed Image Text:Evaluate the surface integral ff5y² d.S, where S' is part of the surface of a paraboloid with parameterization S r(u, v) = (2v cos (u), 2v sin (u), v²) where 0 ≤ u ≤ and 0 ≤ v ≤ 1. Round your answer to two decimal places if necessary. Sorry, that's incorrect. Try again? 5y² ds 3.95 units²
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