Start by doing a sketch of your region.
Hi ,
I would very much appreciate help and guidance withi this .
It is quite tough.thanks.
Find the volume of the region bounded by the parabolic cylinder z=1-x^2 and the planes z=0,y=0 and y+z=2
(also I dont quite fully understand ..but do I always find the projections -why and how many projections do I need to find ?-sorry abt the stupid question-ineed to check)
[QUOTE=Prove It;791795]No. Picture drawing lines parallel to the y-axis. They will be bounded by the planes y = 0 and y + z = 2. How can you write the second plane as y = something?
would it be 0≤y≤2-z
how did you get x=0?? I seem to be getting x=√-1 which is obviously wrong.
when y=0,z=2
when y=2-z,z=0 these were then subbed into x=sqrt(1-z)
sorry about the stupid questions.
Yes is correct.
I got x = 0 because you're told the region is bounded by the plane x = 0. I was pointing out that while the bounds you got for x were wrong, you wrote them down the wrong way, since means you are saying , which it obviously isn't.
Anyway, now that you have the correct bounds, set up your triple integral.