00:01
Seems we have bounded by the coordinate axes perpendicular to y axis is a square so we have it's hard for me to draw x in terms of y so let me solve this real quick so you get x minus three it's all right again.
00:29
Okay x minus six is equal to negative two y so y is equal to negative one half x plus three so so you get three, one, two, three.
00:50
And down one, right two, right two.
01:03
So when x is six, yeah, when x is six, y is zero.
01:13
Okay, so that's right.
01:15
So we've got line like that.
01:23
And it has this equation.
01:24
And the volume of the solid of every cross -section perpendicular to the y -axis is a square.
01:30
So from a bird's -eye view, the shape of.
01:32
Looks like this and we're taking cross sections like this.
01:38
Let me do this different color.
01:41
I'm taking cross sections like this.
01:45
These cross sections have a thickness of d .y.
01:48
And so that's if we were looking at it like a bird...