3. Consider the curve called Folium of Descartes defined by the parametric equations: 31 1+N. 3t...

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3. Consider the curve called Folium of Descartes defined by the parametric equations: 31² 1+N. 3t 1+1³. x(t)= y(t). (a) Graph the curve y(x) for re [0, 100] together with the line y = x for re [0.2] using different colors, thicknesses and linestyles. (b) What is the connection between the two graphs in (a) (c) From the graphs in (b), estimate the point(s) (x.y) where the tangent line to the curve y(x) is horizontal (d) Compute the exact points in (c). 3. Consider the curve called Folium of Descartes defined by the parametric equations: 31² 1+N. 3t 1+1³. x(t)= y(t). (a) Graph the curve y(x) for re [0, 100] together with the line y = x for re [0.2] using different colors, thicknesses and linestyles. (b) What is the connection between the two graphs in (a) (c) From the graphs in (b), estimate the point(s) (x.y) where the tangent line to the curve y(x) is horizontal (d) Compute the exact points in (c).

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a To graph the curve yx for t 0 100 together with the line y x for t Z we need to plot the parametri... View the full answer