Let R be the region bounded above by the graph of the function f(x) = 7x + 2 and below by the x-axis over the interval [1, 6]. Find the total mass of the lamina given it has uniform density ρ = 3. Enter answer using exact value.
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Let R be the region bounded above by the graph of the function f(x) = 7x + 2 and below by the x-axis over the interval [1, 6]. Find the total mass of the lamina given it has uniform density ρ = 3. Enter answer using exact value.
![Let R be the region bounded above by the graph of the function f(x) = 7x + 2 and below by the x-axis over the interval [1, 6]. Find the total mass of the lamina given it has uniform density ρ = 3. Enter answer using exact value.](https://www.doubtrix.com/uploads/editor/1110332346qREDFXQjyN.png)
![Let R be the region bounded above by the graph of the function f(x) = 7x + 3 and below by the x-axis over the interval [2, 4]. Find the total mass of the lamina given it has uniform density ρ = 4. Enter answer using exact value.](https://www.doubtrix.com/uploads/editor/6143939630EFyohDtEdY.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 by the x-axis and the graph of the function f(x) = x^2 + 2 on the interval [2, 4]. Given uniform density ρ = 8, calculate the moments Mx and My of the region. Enter answer using exact value.](https://www.doubtrix.com/uploads/editor/9353104335xvryVthlTx.png)