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Verify Lagrange's mean-value theorem for f (x) = x 4 16 on [1, 2], and find its absolute maxima and absolute minima in [1, 2].

Verify Lagrange's mean-value theorem for f (x) = x 4 16 on [1, 2], and find its absolute maxima and absolute minima in [1, 2]. Also, find the equation of the chord joining the points (1,15) and (2, 0).

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