00:01
Okay, so we have two problems here today.
00:03
The first is going to be to find the area shaded in here and closed by the lines y equals 3x, y equals 9, and y equals 9 over 16x squared.
00:16
Oh my gosh, i'm so sorry, excuse me.
00:20
So i've rewritten here our three equations in terms of f of x instead of y.
00:27
Just to make it easier, it doesn't actually make much of a difference.
00:30
But what we're going to do is put them all equal to each other.
00:34
So we'll have 3x equals 9, then 3x equals 9 over 16 x squared, then 9 equals 9 over 16 x squared, so that they're all set equal to each other.
00:45
And we'll go ahead and solve and get that for this first one, x equals 3.
00:50
For our next, x is equal to 0 and 16 over 3.
00:53
And for our final one, it is negative 4 and 4.
00:57
And then what we're going to do, starting from our lowest values...