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Let's return to the Folium of Descartes x + y = 3xy . This curve has rational parametrization a(t ) = 3t 3+2 L1++3 1+
Let's return to the Folium of Descartes x + y = 3xy . This curve has rational parametrization a(t ) = 3t 3+2 L1++3 1+ +3 Set t = -2 in the GeoGebra app below. 3 - 3x y + y3 = 0 3 t = -4.8 2 -4 -3 -2 -1 N 3 - 1 , (-4.8) -2 - -3 Find the point a(-2) = [6/7,-12/7]The equation of the tangent to the curve at the point a(-2) is y = -20/17+36/119 The equation of the normal to the curve at the point a(-2) is y Note: the Maple syntax for the point [1, 2] is [1 , 2]
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