Use a graphing utility to graph the curve represented by the parametric equations. IndicateFolium of Descartes: x =t/(1+t), y=-12-3-2-1-2--2--3-2-13-3-2-1-2-2Identify any points at which the curve is not smooth. (Select all that apply.)O The graph is not smooth at (0, ±3).O The graph is not smooth at the origin.U The graph is not smooth at (=3, 0).O The graph is not smooth at t = 0.O The graph is smooth everywhere.Type here to search

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Use a graphing utility to graph the curve represented by the parametric equations. Indicat Folium of Descartes: x= t/(1+t), y= /(1 +t) y. -3 -2 2 -3 -2 -2- -2 2 -3 -2 -3 -2 -1 -1 -2 2. 3. 2.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.4: Plane Curves And Parametric Equations

Problem 71E

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Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

Use a graphing utility to graph the curve represented by the parametric equations. Indicate
Folium of Descartes: x =
t/(1+t), y=
-1
2
-3
-2
-1
-2-
-2-
-3
-2
-1
3
-3
-2
-1
-2
-2
Identify any points at which the curve is not smooth. (Select all that apply.)
O The graph is not smooth at (0, ±3).
O The graph is not smooth at the origin.
U The graph is not smooth at (=3, 0).
O The graph is not smooth at t = 0.
O The graph is smooth everywhere.
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