Assignment 11
For this assignment, I chose to write up problem number three:
Note: The parameter k is called the "eccentricity" of these conics. It is usually called "e" but for many software programs e is a constant and can not be set as a variable.
After experimenting with the graphs of these equations with different values of k and p for a while, I developed the following conjectures:
The following three tables outlines some other patterns that I noticed while experimenting with graphs of these equations. There is one table for each conic section:
When k > 1
+ 
 

sin &theta 


cos &theta 


When k = 1 (parabola)
k > 1 
+ 
 
sin &theta 


cos &theta 


When k < 1 (ellipse)
k > 1 
+ 
 
sin &theta 


cos &theta 

