- #1

dlacombe13

- 100

- 3

## Homework Statement

Match the parametric equations with the graphs.

In this case, I am stuck on this equation:

x = cos t

y = sin t

z = 1/(1+t^2)

## Homework Equations

## The Attempt at a Solution

So far I have:

x^2 + y^2 = cos ^2 t + sin ^2 t = 1

I know this is a circle in the xy-plane, and thus this yields a vertical, circular cylinder. I understand that there will be some form of helix going counter-clockwise around the cylinder. However, I do not understand how exactly to "graph" this using the parameter t. I know what the graph is and looks like, but I can't understand why it looks the way it does. I am having a hard time grasping this section in total.