Answer: Prove Theorem 11.6
Chapter 10, Problem 86(choose chapter or problem)
Folium of Descartes A curve called the folium of Descartes can be represented by the parametric equations
\(x=\frac{3 t}{1+t^{3}}\) and \(\quad y=\frac{3 t^{2}}{1+t^{3}}\).
(a) Convert the parametric equations to polar form.
(b) Sketch the graph of the polar equation from part (a).
(c) Use a graphing utility to approximate the area enclosed by the loop of the curve.
Text Transcription:
x=3t/1+t^3
y=3t^2/1+t^3
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