Question: For any homogeneous solid S, show that the average value of the linear function ((x, y, z) = (x + by + cz + d

For any homogeneous solid S, show that the average value of the linear function ((x, y, z) = (x + by + cz + d on S is ((x̅, y̅, z̅), where (x̅, y̅, z̅) is the center of mass.

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