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The Rate of Change with Respect to Time of the Quantity

question 26

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The rate of change with respect to time of the quantity q of pain reliever in a person's body t hours after the individual takes the medication is proportional to the quantity of medication remaining. Assume that 2 hours after a person takes 500 milligrams of a pain reliever, one-half of the original dose remains. Find a particular solution which gives the quantity of pain reliever in a person's body after t hours. Round coefficients to two decimal places.


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