Thread: Triple integral help.

Can someone please explain what this means? I tried drawing out the region but it still doesn't make sense.



So the first bound is a parabola on the yz plane, the second is just a line on the xy plane.

Originally Posted by Kuma

Can someone please explain what this means? I tried drawing out the region but it still doesn't make sense.



So the first bound is a parabola on the yz plane, the second is just a line on the xy plane.

The object is 3D. Have graphed the top part and its projection into the xy plane. You are asked to project this into the yz and xz planes as well. I hope this picture gets you started. P.S here is the maple code for the graph if you have it.

Code:

with(plots):

a := plot3d(4-y^2, y = 0 .. 2*x, x = 0 .. 1, axes = normal);

b := plot3d(0, y = 0 .. 2*x, x = 0 .. 1, axes = normal, transparency = .9);

display(a,b);