Question: A thin plate covers the triangular region bounded by the x- axis and the line x = 1 and y = 2 x in

A thin plate covers the triangular region bounded by the x- axis

A thin plate covers the triangular region bounded by the x- axis and the line x = 1 and y = 2 x in the first quadrant. The planes density at the point (x, y) is o (x, y) = 2x + 2y + 2. Find the mass and first moments of the plate about the coordinate axis.

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