Evaluate the surface integral 3x dS, where S is part of the surface of a paraboloid with parameterization S T r(u, v) = (3v cos (u), 3v sin (u), 1²) where ≤ u≤and 0 ≤v≤ 2. Round your answer to two decimal places if necessary.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Evaluate the surface integral / 3x 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) ≤u≤
Round your answer to two decimal places if necessary.
Provide your answer below:
Js 3x dS ≈
S
2
units²
T
22 2
and 0 ≤ y ≤ 2.
Transcribed Image Text:Evaluate the surface integral / 3x 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) ≤u≤ Round your answer to two decimal places if necessary. Provide your answer below: Js 3x dS ≈ S 2 units² T 22 2 and 0 ≤ y ≤ 2.
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