A curve called the folium of Descartes is defined by the parametric equations 3t 3t2 x(t) = y(t) 1+ t3 ' 1+ t3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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(i) Set up an integral that finds the arclength of the loop of this curve. (Note that I do not
ask you to compute this integral!) Make your best guess based on the previous analysis,
what this arclength is.
Transcribed Image Text:(i) Set up an integral that finds the arclength of the loop of this curve. (Note that I do not ask you to compute this integral!) Make your best guess based on the previous analysis, what this arclength is.
A curve called the folium of Descartes is defined by the parametric equations
3t2
3t
x(t) =
y(t)
1+ t3 '
1+t3 *
Transcribed Image Text:A curve called the folium of Descartes is defined by the parametric equations 3t2 3t x(t) = y(t) 1+ t3 ' 1+t3 *
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