=+22. Prove that the linear density fij0 + fij1x is nonnegative throughout the interval (aij , ai,j+1)

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=+22. Prove that the linear density fij0 + fij1x is nonnegative throughout the interval (aij , ai,j+1) if and only if its center of mass cij lies in the middle third of the interval. (Hint: Without loss of generality, take aij = 0.

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