Final answer:
The question presents various mathematical symbols and terms, but no coherent context for calculating the volume under an elliptic paraboloid is given. Without a specific equation or limits of integration, a volume calculation cannot be performed.
Step-by-step explanation:
From the question, it seems like several unrelated pieces of mathematical information and symbols are presented, but they do not form a coherent problem or provide a clear context that would allow for calculating the volume under an elliptic paraboloid. Without a definitive equation for the elliptic paraboloid or limits of integration, we cannot proceed with a calculation of volume. The question mentions 'z' and 'density curve,' which suggests statistics or calculus involvement, but again, there is not enough clear data to solve a specific problem.