2. If the density of the material \(\delta(x, y)\) is constant then the center of mass
does not depend on the value of the density. Show/Explain why this is
true.
$\bar{x} = \frac{\iint_D x \, dA}{\iint_D 1 \, dA}$ and $\bar{y} = \frac{\iint_D y \, dA}{\iint_D 1 \, dA}$
The second observation is that $\iint_D 1 \, dA = \text{area}(D)$. The reason why this is
true will be covered in class.