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**1. The problem statement, all variables and given known data**

f(x,y,z,) = [itex]e^{2x-z}[/itex]

W: x + y + z ≤ 1

x, y, z ≥ 0

## Homework Equations

## The Attempt at a Solution

For each domain, could you check it please?

This is the only triple integral that's haunting me

0 ≤ x ≤ 1-y-z

0 ≤ y ≤ 1-x-z

0 ≤ z ≤ 1-z-y