Variable Density Problem: The region in Quadrant I bounded by the graph of y = 8 x3 is

Chapter 11, Problem R3

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Variable Density Problem: The region in Quadrant I bounded by the graph of y = 8 x3 is rotated about the y-axis to form a solid. Find the mass of the solid if the density a. Is constant in the radial direction but equal to ky in the y-direction, where k is a proportionality constant b. Is constant in the axial direction but equalsex in the radial direction

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