Ecology—Removing Pollutants: In planning its future operating budget, the city of Utica hires a consulting firm to determine the cost of removing the pollutants discharged into Lake Chevelle. They find the cost can be projected by the model
where x represents the percentage of the pollutants removed and C(x) represents the cost in thousands of dollars.
(a) Use the Quotient Rule to differentiate C(x).
(b) Evaluate C(50) and C′(50) and interpret each.
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