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.
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
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a1a8c69-ac20-486b-9f67-8f66504c5494%2Fb73285ba-88e5-4c5d-9a37-ef9d302bd7f3%2Fi06i64f_processed.jpeg&w=3840&q=75)
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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