Part One Exercises involving 2 dimensional curves

1. 1. describe the plot of
   2. by trying different values for a and b, what, in general, can you say about the curves defined by

      

2. 1. describe the curve defined by

      

   2. and compare it to the curve defined by

      

3. 1. describe the curve defined by

      

   2. compare it to the curve

      

   3. what, in general, would you say is the effect of the exponent k(odd) in curves of the form

      

4. Describe the curves defined by

   

   by trying out various values of a and r. Take a starting point of a = 28 and r = 13 and decrease from there. Note the range on t depends on r also!