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Putnam 1938 A3

Session A

If a particle moves in the plane, we may express its coordinates $x$ and $y$ as functions of the time $t$ . If $x=t^{3}-t$ and $y=t^{4}+t$ , show that the curve has a point of inflection at $t=0$ and that the velocity of the moving particle has a maximum at $t=0$ .

Dataset text PutnamGAP. Quoted with source.

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