# Thread: Match the surfaces with the verbal description of the level curves by placing the let

1. ## Match the surfaces with the verbal description of the level curves by placing the let

Match the surfaces with the verbal description of the level curves by placing the letter of the verbal description to the left of the number of the surface.
1.
2.
3.
4.
5.
6.
7.

A. a collection of equally spaced parallel lines
B. a collection of equally spaced concentric circles
C. two straight lines and a collection of hyperbolas
D. a collection of unequally spaced concentric circles
E. a collection of unequally spaced parallel lines
F. a collection of concentric ellipses

2. Originally Posted by ewkimchi
Match the surfaces with the verbal description of the level curves by placing the letter of the verbal description to the left of the number of the surface.
1.
2.
3.
4.
5.
6.
7.

A. a collection of equally spaced parallel lines
B. a collection of equally spaced concentric circles
C. two straight lines and a collection of hyperbolas
D. a collection of unequally spaced concentric circles
E. a collection of unequally spaced parallel lines
F. a collection of concentric ellipses
Lets focus on the first one. A level curve for this corresponding to $\displaystyle z=r$ is:

$\displaystyle r=\sqrt{x^2+y^2}$

or:

$\displaystyle x^2+y^2=r^2$

So these level curves are ....

Now try some of the others.

CB