Question

Calculus question in comments: Triple integrals
Original problem file opens better with the link from @johnweldon1993

Answer 1

What type of file is that? I can't seem to open it...

Answer 2

You should be able to open it as a pic.

Answer 3

@UsukiDoll

Answer 4

Were you able to open it? I'm still trying to draw the figure.

Answer 5

Ahh yes I was, sorry had to step away for a moment

So you're working on the picture? Let me see if I can work on it too

So from what I'm gathering, Focusing on the yz plane we have y = z, 2y + z = 3, z = 0



Now we also have restraints in the x direction, from the yz plane there, we can see we basically have a triangle right?

Now imagine taking that triangle, and having it extend out towards you *out of the computer screen towards you until it reaches x = 9 *I believe that is what you have written...looks like a 4 or a 9

So we will basically have a rectangular prism

Answer 6

idk why I said rectangular there lol...forgive my tired vocabulary...clearly a triangular prism

Answer 7

Awesome, I was getting close to that, but my drawing was much messier. Thanks so much! Oh, and it is a 4, not a 9.

Answer 8

Lol got it... :P



So now, we need to express this as an iterated integral, how would we go about that?

Answer 9

It looks like the y coordinates go from 0 to 1.5, z from 0 to 1, and x from 0 to 4