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Locating the Centroid

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Question: Locate the centroid y of the area whose equation is y=1/x bounded by the x axis, and the line x=.5 inches. The height of the area starts at 2 inches high at x=.5 inches, and slopes down to 0.5 inches high at x=2 inches. The length of the shape is 1.5 inches.

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Finding the Area
To find the area, we ...

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Find the centroid of a lamina using Definite integrals when density of the region is a variable

A lamina is described with the help of three curves, given that density of the lamina at a point P is inversely proportional to its distance from y-axis and density at one of the points in the region of the lamina is also given. We need to find the centroid of the region.

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