Math 321.001: Ordinary Differential Equations

Special Problem:

The image below shows a curve in the plane.        






In the next figure the curve is drawn according to a parameterization (x(t), y(t)).   Your task is to sketch the associated graphs of x(t) and y(t) as accurately as possible.  Your graphs should reflect the time dependence of the curve (where it speeds up and slows down).  The two graphs should also be coordinated.  That is, for a single t  on the time axis, the x and y values in the graphs should correspond to a particular point on the curve.