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Folium of Descartes
Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.
Witch of Agnesi
Sketch the members of the family of graphs given by y = a^3/(x^2+a^2) for a=1, 2 and 3.
Age 16 to 18
Challenge Level
It can be useful to hold your hands as if holding a wheel and
imagine driving along a road!
Don't forget to focus your attention on the main concepts in the problem and don't get distracted by questions such as what if the road is not flat etc. This is a mathematical idealisation!
Don't forget to focus your attention on the main concepts in the problem and don't get distracted by questions such as what if the road is not flat etc. This is a mathematical idealisation!
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.