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Mathematics, 16.07.2020 15:01 bamozer152

The parametric equations of a curve are x = at, y = at^3 where a is a positive constant. The point P on the curve has parameter p and the tangent to the curve at point P cuts the y−axis at S and the x−axis at T. The point M is the midpoint of ST. Find a Cartesian equation of the curve traced by M as p varies.

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The parametric equations of a curve are x = at, y = at^3 where a is a positive constant. The point P...
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