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In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of college teachers was described by the function
f(x) = 13/14x^2 + 1/14x
and that of lawyers by the function
g(x) = 5\7x^4 + 2/7x.
(a) Compute the coefficient of inequality for each Lorentz curve. (Round your answers to four decimal places.)
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