9. [FOLIUM OF DESCARTES]. Let G be the piecewise smooth curve (h U I 2), where h
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9. [FOLIUM OF DESCARTES]. Let G be the piecewise smooth curve ¢(h U I 2), where h = (-00, -1), h = (-1,00), and
( 3t 3t2)
¢(t)= l+t3 'I+t3 •
Show that if (x, y) = ¢(t), then x3 + y3 = 3xy. Sketch G.
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