00:01
Okay, we're going to find the area bounded by the hyperbola and the line x equals three.
00:07
So first, we know that this hyperbola, having an x square that's positive and a y square, has kind of two parabolas that are both facing outward.
00:17
So let's go ahead and put it in a format where we can figure out where those vertices are.
00:24
So let's go ahead and divide everything by 100.
00:27
So now our x squared has a four underneath it.
00:31
So because of that, we do know that we are, one of our vertices is at 2 -0, and the other one is at negative to 0.
00:41
But to be close to the line, x equals 3 and 2 and close it, you can tell that we're using the positive side.
00:49
So looking at this diagram, it's going to be a lot easier to be in terms of why, because we can do right function minus left function.
00:57
So if we're in terms of y, we have to know those y values where the two functions cross...