Thin Plates with Varying DensityThe region between the
Chapter 6, Problem 18E(choose chapter or problem)
Problem 18E
Thin Plates with Varying Density
The region between the curve y = 2/x and the x-axis from x = 1 to x = 4 is revolved about the x-axis to generate a solid.
a. Find the volume of the solid.
b. Find the center of mass of a thin plate covering the region if the plate’s density at the point (x, y) is
c. Sketch the plate and show the center of mass in your sketch.
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