Let R be the region bounded above by the graph of the function f(x) = -x^2 + 9 and below by the x-axis over the interval [-3, 3]. Find the centroid, (x‾, y‾), of the region. Enter answer using exact values.
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Let R be the region bounded above by the graph of the function f(x) = -x^2 + 9 and below by the x-axis over the interval [-3, 3]. Find the centroid, (x‾, y‾), of the region. Enter answer using exact values.
![Let R be the region bounded above by the graph of the function f(x) = -x^2 + 9 and below by the x-axis over the interval [-3, 3]. Find the centroid, (x‾, y‾), of the region. Enter answer using exact values.](https://www.doubtrix.com/uploads/editor/8490736290ZqFZtgtmwd.png)
![Let R be the region bounded below by the graph of the function f(x) = x^2/2 + 2 and above by the x-axis over the interval [-3, 3]. Find the centroid, (x‾, y‾), of the region. Enter answer using exact values.](https://www.doubtrix.com/uploads/editor/6787466281KsbGxBmvJO.png)
![Let R be the region bounded below by the graph of the function f(x) = 3x^2/4 - 3 and above by the x-axis over the interval [-2, 2]. Find the centroid, (x‾, y‾), of the region. Enter answer using exact values.](https://www.doubtrix.com/uploads/editor/7688337849ziCXPogISv.png)
![Let R be the region bounded below by the graph of the function f(x) = x^2/3 – 4/3 and above by the x-axis over the interval [-2, 2]. Find the centroid, (x‾, y‾), of the region. Enter answer using exact values.](https://www.doubtrix.com/uploads/editor/8921522276deTEbwYete.png)