Problem 64E
Tracing hyperbolas and parabolas Graph the following equations. Then use arrows and labeled points to indicate how the curve is generated as θ increases from 0 to 2π.
Step-by-Step Solution:
Solution 64E
Step 1:
In this problem we have to draw the graph of r = and then use arrows and labeled points to indicate how the curve is generated as
increases from 0 to 2
.
We know that the polar equation of a hyperbola having center at a focus is ; r =
The graph of r = is shown below ;
r = |
|
r = |
0 |
r = |
|
r = |
|
r = |
|
|
r = |
2 |
As increases from 0 to 2
, the curve generated as a circle.
Step 2 of 2
