I have two problems that are pretty similar:
1. Use a triple integral to find the volume of the solid bound by the parabolic cylinder and the planes , and .
I have been having issues finding the x bounds on this integral, but this is what I have tried: I set and solved for x, which gave me and
I then had the integral:
I was just curious if this is right or not since I have been trouble with figuring out the bounds.
The second question is this:
Find the volume of the solid enclosed by the paraboloids and
The bounds for z are there, but to find them for y and x could I set z = 0 and solve? So that gives bounds for x and y that are 0 and then upper bounds for x and y that are .
And so the integral would be:
Thanks ahead of time for the help.