## Calculus (3rd Edition)

$(-2, 2, 3)$
The $x$ component, $-2+cos(t)$, oscillates between $-3$ and $-1$, so its center in the x-dimension is $-2$. The $y$ component is the constant $2$, so its center in the y-dimension is $2$. The $z$ component, $3-sin(t)$, oscillates between $2$ and $4$, so its center in the z-dimension is $3$. Therefore, the coordinates of the center are $(-2, 2, 3)$.