This is the 2nd part of my writeup of Assignment #11 
Brian R. Lawler

EMAT 6680 
12/14/00

The Problem
Investigate varying a, b, c, and k. 
First, I considered the graph of with a = 1 and k = 1. Immediately I began to vary b. 
with a = 1 and k = 1 

For even number k, the decimal values of b between 2 and 2 is where both sets of petals occur (recall from Part I. that even k values appeared to have 2k petals). When b is 0 is when they appear the same size. 
with a = 1 and k = 5 

For odd number k, the decimal values of b between 2 and 2 is again where two sets of petals occur. However, in this case the petals emerge along the same radii, so when b is 0 is when they are not only the same size, but also in the same place.  
And finally, the general curve, no matter the value of k, approaches a circle of radius b centered at the origin.  
Next, I looked at the graph of with a = 1 and k = 1. I predicted the behavior would be the same. Of course, I began to vary band observe the results. As you can see below, the effect of b is the same as above.  
With a = 1, k = 1, and b = 1 
with a = 1, k = 4, and b = 1 

click to continue to Part III.
Comments? Questions? email me at blawler@coe.uga.edu 
Last revised: December 28, 2000 