00:01
So if they want us to evaluate this by identifying this as a volume, let's first go in and draw what this is sick.
00:07
So on the inside here, this is supposed to be like our function z.
00:13
So like this is telling us like our x, or you would normally write it as like z is equal to f of x, something like this.
00:20
So this is saying z is a constant root 2.
00:24
Let's just go ahead and kind of sketch what we have.
00:27
So root 2 is like between 1 and 2.
00:31
Maybe like this point right here.
00:34
Now let's go ahead and graph this in the xy plane.
00:39
So we have x here, we have y here.
00:42
So we need to go six of the x axis.
00:44
So one, two, three, four, five, six.
00:48
And then we need to go five of the y.
00:51
One, two, three, four, five.
00:53
And actually one back.
00:56
So the region we're working in is going to be, so from x is equal to, to 2 to 6.
01:05
Let me just draw it over here on the axis first.
01:07
So 2 to 6.
01:11
And then over here in the y, it's going from negative 1 to 5.
01:18
So it would be like negative 1 here to 5 here.
01:22
And then same thing over here and over here like that.
01:26
So we have this here...