1. The problem statement, all variables and given/known data Find the region E for which the triple integral: (triple integral over E) (1 - x^2 -2y^2 -3z^2) dV is a maximum. 2. Relevant equations 3. The attempt at a solution I remember in earlier math courses finding the derivative of a single variable integral, does this problem involve finding the derivative of a triple integral and setting it equal to zero to find the maximum? If so, how would you do that?