i still haven't gotten anywhere with this
i thought i would just bump this once before i go to class
1. Use a triple integral to find the volume of the solid bounded by the parabolic cylinder and the planes and
at first i tried rectangular coordinates, and heres what i did:
int(0 to 9) * int(0 to sqrt[3/4]) * int(4x^2 to 3) dy dx dz
going with that, i couldnt get to the right answer
i would use cylindrical, however im not sure how since the cylinder is parabolic. how would i set that up, or should i stay with rectangular in the case?
2. Evaluate the triple integral where is the solid bounded by the cylinder and the planes and in the first octant.
again, with this one i attempted rectangular
here was my integral, which did not lead to the right answer
int(0 to 12) * int(0 to sqrt[144-y^2]) * int(0 to y/3) z dxdzdy
thanks for any help
for (1), that matches exactly what i have. however, i just realized before coming here that i need to multiply my result by 2! because i was only calculating half of it. DUH, well, everything worked out. thanks for the confirmation.
im going to work on (2) now. but looking at it with a fresh mind since last night, i have a good feeling about this!
Ok, I see I needed to multiply (1) by 2. Thanks. Also, after looking at (2) more, I think it's:
It's the integral over the volume underneath the surface in the plot below.
Do you know what the answer is suppose to be?
 I see you edited above before me. If that's ok then I'll double check mine.