Question

Help with 2 variables functions.

Answer 1

Hmmmm.

Answer 2

If you look at 5, you see it's a sphere so the level curves should be circles.

Answer 3

\[
z=\sqrt{25-x^2-y^2}\implies x^2+y^2+z^2=5^2
\]

Answer 4

Or rather, it is an upper hemipshere

Answer 5

Looking at 3\[
z=\frac{1}{x-1}\implies xz-z=1\implies x=\frac{1+z}{z}
\]So \(x\) will be constant when \(z\) is constant... meaning straight lines

Answer 6

By the way, 1 is a cylinder so it will be equally spaced circles, while 5 will be concentric circles

Answer 7

@MarcLeclair Are you following?

Answer 8

sorry I was doing something but there's one thing that throws me off and that is when we say equally spaced and unequally spaced, how do I figure that out?

Answer 9

I mean if I draw the level curve of a sphere, it will be equally spaced out no? I mean the radius will change but not the space between each level curve

Answer 10

As you get close, the level curves get closer.