A curve called the folium of Descartes can be represented by the parametric equations 3t2 3t and y = x = 1+t3 1+ t3 ° (a) Convert the parametric equations to polar form. (b) Sketch the graph of the polar equation from part (a). What conic section does the polar equation r = a sin 0 + b cos 0 represent?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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A curve called the folium of Descartes can be represented by the parametric equations
3t2
3t
and y
x =
||
1+ t3
1+t3 °
(a) Convert the parametric equations to polar form.
(b) Sketch the graph of the polar equation from part (a).
What conic section does the polar equationr = a sin 0 + b cos 0 represent?
Transcribed Image Text:A curve called the folium of Descartes can be represented by the parametric equations 3t2 3t and y x = || 1+ t3 1+t3 ° (a) Convert the parametric equations to polar form. (b) Sketch the graph of the polar equation from part (a). What conic section does the polar equationr = a sin 0 + b cos 0 represent?
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