00:01
So i put the x here, the coordinate plane is 0 there, okay? so the coordinate of this point is 0 ,2, and this one is 3 ,0.
00:13
Okay? now, as you see, we need to write this area of the strip and the depth.
00:20
Well, the depth is pretty straightforward.
00:23
So this whole thing is 6, and then if i want to know this one, so that's y.
00:29
So the depth is 6 minus y, okay? now let's calculate this one.
00:35
We need the equation of this line.
00:38
So that line is, we know the y -intercept and slope is negative 2 over 3x, and the y -intercept is 2, okay? multiply both sides by 3, and then 2x is equal to 6 minus 3y, so x is equal to 3 minus 3 over 2y.
01:06
But we have two of them, 2x, you see that? so 2 times 3 minus 3 over 2y, and then of course, dy that.
01:18
And distribute that in, and then you're going to get area as 6 minus 3y, dy.
01:27
Okay, i think we're all good to go...