00:01
I asked us to make contour surfaces of f of x, y, and z.
00:06
F of x, y, and z equals x squared plus y squared.
00:11
So notice that there's no, it's not actually dependent on z.
00:15
But if we make contour plots, what we see is that we basically just get a bunch of nested cylinders.
00:20
So notice that, you know, no matter what z is, it's the same value.
00:27
So pick a c and we'll get a certain.
00:30
With a cylinder.
00:32
And that means, again, the z, along the z axis, nothing changes.
00:38
So if we take a cut here, and so what i did is i took, if we take a look at this plot here, take a look at the static one here so i can draw on it.
00:49
I took a cut when y equals zero.
00:53
So like, let's say this is y here.
00:54
So i took a cut...