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Oxygen content of a pond when organic waste is dumped into

Qusetion: OXYGEN CONTENT OF A POND When organic waste is dumped into a pond, the oxidation process that takes place reduces the pond's oxygen content. However, given time, nature will restore the oxygen content to its natural level. Suppose the oxygen content t days after organic waste has been dumped into the pond is given by

f(t) = 100[(t² - 4t + 4)/(t² + 4)] (0 ≤ t < ∞)

Percent of its normal level .

a. When is the level of oxygen content lowest?

b. When is the rate of oxygen regeneration greatest?

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Mathematics: Oxygen content of a pond when organic waste is dumped into

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