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Well, I'll start anyway...

I'm going to send through an image of the plots you need to look at.

ok thanks!

plotting it was easy :) how we find the solutions? or is there another way?

I'm deriving it - it's easy to do on paper, but hard to explain. online

deriving sounds interesting.... would you see where the slopes are perp to each other?

the integral came out \[\pi*[y^5/5-4y^3/3-y^2/2+8/3*y^(3/2)-y]...\]

jpick: you just subtract the equations from each other?

but to get bounds for y i have to solve the values where y^4-y-1=0

yeah.... been trying that one for hours :)

just thinking outloud, but would newtons approximation work for us? or is that just to clumsy?

loki... :) i agree

Given that, I'm going to persist with cylindrical shells.

maybe, some numerical approximation (or algebra solver program) will be needed

finding the bounds is like pulling teeth, but without the lollipop at the end :)

is it possible to set your own bounds and still get an answer?

where...

this element is for the section to the right of the line in the following image.

There's a mistake in the first element: x-2 should read as 2-x, the radius.

You need to communicate with me. Is this working for you?

Which d.e.?

The one where he wanted substitution?

bethanymichalski, you there?

yeah, I got x^2/2+y^/2+xy-x=c

That's what I got using exact differential equation.

Oh, i thought it said log(x+y)...my bad nm :(