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Adrug is injected into a patient at a rate given by rt

Question: A drug is injected into a patient at a rate given by r(t) = ate-bt ml/sec, where t is in seconds since the injection started, 0 ≤ t ≤ 5, and a and b are constants. The maximum rate of 0.3 ml/sec occurs half a second after the injection starts. Find a formula for a and b.

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Mathematics: Adrug is injected into a patient at a rate given by rt

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Mathematics: Adrug is injected into a patient at a rate given by rt

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