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Evaluate the surface integral ff 4x dS, where S is part of the surface of a paraboloid with parameterization S r(u, v) = (3v cos (u), 3v sin (u), v²) where 0 ≤ u≤. 4 Round your answer to two decimal places if necessary. Provide your answer below: JS 4x ds≈ [ units² and 0 ≤ ≤ 2.

Evaluate the surface integral ff 4x dS, where S is part of the surface of a paraboloid with parameterization S r(u, v) = (3v cos (u), 3v sin (u), v²) where 0 ≤ u≤. 4 Round your answer to two decimal places if necessary. Provide your answer below: JS 4x ds≈ [ units² and 0 ≤ ≤ 2.

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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Evaluate the surface integral ff 4x dS, where S is part of the surface of a paraboloid with parameterization S r(u, v) = (3v cos (u), 3v sin (u), v²) where 0 ≤ u≤. 4 Round your answer to two decimal places if necessary. Provide your answer below: JS 4x ds units² and 0 ≤ ≤ 2.
Transcribed Image Text:Evaluate the surface integral ff 4x dS, where S is part of the surface of a paraboloid with parameterization S r(u, v) = (3v cos (u), 3v sin (u), v²) where 0 ≤ u≤. 4 Round your answer to two decimal places if necessary. Provide your answer below: JS 4x ds units² and 0 ≤ ≤ 2.
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