Evaluate the surface integral ff 3y² d.S, where S' is part of the surface of a paraboloid with parameterization S r(u, v) = (v cos (u), v sin (u), v²) where 0 ≤ u s 4 Round your answer to two decimal places if necessary. Provide your answer below: Sf3y² ds units² and 0 ≤ ≤ 1.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
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Evaluate the surface integral ff3y² d.S, where S is part of the surface of a paraboloid with parameterization
S
π
r(u, v) = (v cos (u), v sin (u), v²) where 0 ≤ us and 0 ≤ v ≤ 1.
4
Round your answer to two decimal places if necessary.
Provide your answer below:
3y² ds units²
Transcribed Image Text:Evaluate the surface integral ff3y² d.S, where S is part of the surface of a paraboloid with parameterization S π r(u, v) = (v cos (u), v sin (u), v²) where 0 ≤ us and 0 ≤ v ≤ 1. 4 Round your answer to two decimal places if necessary. Provide your answer below: 3y² ds units²
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