In Exercises 6368, find and such that where and w 1, 1.v 2, 1
Chapter 10, Problem 63(choose chapter or problem)
Folium of Descartes Consider the parametric equations
\(x=\frac{4t}{1+t^3}\) and \(y=\frac{4t^2}{1+t^3}\).
(a) Use a graphing utility to graph the curve represented by the parametric equations.
(b) Use a graphing utility to find the points of horizontal tangency to the curve.
(c) Use the integration capabilities of a graphing utility to approximate the arc length of the closed loop. Hint: Use symmetry and integrate over the interval \(0\ \leq\ t\ \leq\ 1\).)
Text Transcription:
x=4t/1+t^3
y=4t^2 /1+t^3
0 leq t leq 1
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