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The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption of...

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The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption of 15 mL of ethanol (corresponding to one alcoholic drink). The resulting data were used to model the concentration functionc(t) = 0.00225te^-0.0467twhere t is measured in minutes after consumption and C is measured in g/dL. (Round your answers to six decimal places.)(a) How rapidly was the BAC increasing (in (g/dL)/min) after 4 minutes? (g/dL)/minInterpret your answer in the context of this problem.The model predicts that the BAC will be by this approximate amount after minutes.(b) How rapidly was it decreasing (in (g/dL)/min) half an hour later? (g/dL)/minInterpret your answer in the context of this problem.The model predicts that the BAC will be by this approximate amount after minutes.

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