Parametric equations are those that relate typical x and y values to another variable or arbitrarily chosen constant. Such equations are widely found in studies dealing with motion as a function of time. There are scalar and vector parametric equations. In vector parametric equations the arbitrary variable is called a parameter and it is related to a vector via an ordered pair. Scalar parametric equations are more commonly referred to as just parametric equations. They are the set of equations that relates the arbitrarily chosen constant or variable to the traditional Cartesian coordinates x and y. For example let us consider a cycloid that is formed as a point on a circle traces out a curve as the circle rolls along a line. Although one can represent the cycloid as the graph of a function it is also possible to represent the curve C using parametric...