The length of a curve given by a parametric equation x(t), y(t) is given by: The cardioid

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The length of a curve given by a parametric equation x(t), y(t) is given by:
The length of a curve given by a parametric equation

The cardioid curve shown in the figure is given by:
x = 2bcost - bcos2t, and y = 2bsint - bsin2t with 0

The length of a curve given by a parametric equation
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