The folium of Descartes is the graph shown in the figure. In parametric form its equation is

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The folium of Descartes is the graph shown in the figure. In parametric form its equation is given by:
x = 3t/1 + t3 and y = 3t2/1 + t3 for t ‰  €“1
(a) Use MATLAB to show that the equation of the folium of Descartes can also be written as:
x3 + y3 = 3xy
(b) Make a plot of the folium for the domain shown in the figure by using the ezplot command.
x'y3 xy =0 -1
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