The discussion revolves around problem #13, which involves calculating a volume using a triple integral. Participants are examining the validity of multiplying the volume found in quadrant 1 by 4 to obtain the total volume of the region.
Some participants have provided insights into the reasoning behind the incorrectness of the initial approach, particularly focusing on the integrand's properties. Others have shared their own results, indicating a potential agreement on a specific value, but the overall discussion remains open without a definitive consensus.
There are mentions of unreadable images and requests for participants to provide their work in a more accessible format. This suggests that clarity in communication may be a factor in the ongoing discussion.
Just because you are calculating a triple integral, it doesn't mean you are calculating a volume. If the integrand was ##1##, you would be, and your method would be correct. But your integrand is ##x^2e^y##, and ##e^y## is not symmetric about ##y=0##. So you don't get the same answer for each quadrant.namehere said:
namehere said:
Yes, that's correct.Eclair_de_XII said: