Sketch one loop of the curve 9y² = x(3x)² Find the area of the surface of revolution generated by one loop of the curve 9y2 = x(3x)2 about the y-axis and leave your answer in the exact form.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 30RE
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Sketch one loop of the curve
9y² = x(3-x)²
Find the area of the surface of revolution generated by one loop of the curve
9y2 = x(3x)2 about the y-axis and leave your answer in the exact form.
Transcribed Image Text:Sketch one loop of the curve 9y² = x(3-x)² Find the area of the surface of revolution generated by one loop of the curve 9y2 = x(3x)2 about the y-axis and leave your answer in the exact form.
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