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?
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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
hi shawsend
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?
[edit] I see you edited above before me. If that's ok then I'll double check mine.