Suppose R is the region bounded from above by the graph of $f(x) = 12x - x^2$ and from below by the graph of $g(x) = x$ over the interval $[3, 7]$. Find the center of mass of the region. Assume that the region has a constant density $\delta$.
$(\bar{x}, \bar{y}) = $
Note: your answer should be an ordered pair and you may use decimals in this problem. If you give a rounded answer, use at least 3 decimal places.