Assignment 10 Problem 3 for Kanita DuCloux

For various a and b, I will investigate

for t between 0 and 6.28

For a=b, the graph is a circle centered at the origin, symmetric about the x- and y-axes with radius equal to a.

 

For a>b, the graph is an ellipse with the x-axis as the major axis and the y-axis as the minor axis. The graph is symmetric about the x- and the y-axes. The x-intercept is (a,0) and the y-intercept is (0,b).

 

 

 

For a<b, the graph is also an ellipse but now the y-axis is the major axis and the x-axis is the minor axis. It is still symmetric about the x- and y-axes. The x-intercept is (a,0) and the y-intercept is (0,b).

 

Summary:

1. For a = b, the graph is a circle, centered at (0,0). It is symmetric about the x- and y-axis.

2. For a>b or a<b, the graph is an ellipse centered at the origin. The x-intercept is (a,0) and the y-intercept is (0,b). It is symmetric about the x- and y-axis.

 

return