00:01
So we want to consider the different level curves and match the slices with their plots.
00:05
So we're going to start with 0 .75 or y equals 0.
00:10
We could plug in and we get 2x squared plus z squared equals 4.
00:19
So it would be when we plug in a y equals 0 and we end up getting this.
00:27
So then we can divide both sides by 4 and we get.
00:32
Get x squared over 2 plus z squared over 4 equals 1.
00:37
This is an ellipse where we see that a equals plus or minus the square root of 2 and b equals plus or minus 2.
00:50
So we can expect the points 0, 2, and 0 negative 2.
00:58
We can also expect the points 1 .4 1 ,0, 0 ,000, 0 ,000 ,000, negative 1 .0.
01:05
So that's going to look like a d.
01:13
So it looks like you got that one correct.
01:17
And then we're going to do the same thing for let's say z equal zero...