Find the exact area of the surface obtained by rotating the given curve about the y-axis.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 35RE
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Find the exact area of the surface obtained by rotating the given curve about the y-axis.

x (t) = 3t – t3
y (t) = 3t2
|
%3D
0 <t< 1
Transcribed Image Text:x (t) = 3t – t3 y (t) = 3t2 | %3D 0 <t< 1
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