Problem:
Draw the graph of the parametric equations

x = t + 2 cos(2t)
y = t + 3 sin(3t)

for values of t between -40 and 40.


Visualization:
Use the following LiveMath notebook to explore the graph of these equations; in addition, you can change the values of the constants in the equations and see the effect on the graph. View an animation to see how this can be done.