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