Mathematics

Mathematics

Problem

The position of a particle moving in the xyxy-plane is given by the parametric equations x(t)=t3−3t2x(t) = t^3 - 3t^2 and y(t)=12t−3t2y(t) = 12t - 3t^2 . At which of the following points (x,y)(x, y) is the particle at rest?

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