Medicine To treat some diseases, a patient must have a

Chapter , Problem 8.3.74

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Medicine To treat some diseases, a patient must have a certain concentration of a medication in the blood for an extended period. In such a case, the amount of medication in the blood can be approximated by the infinite geometric series A + Aekt + Ae2kt + + Ae(n-1)kt + where A is the number of milligrams in one dose of the medication, t is the time between doses, and k is a constant that depends on how quickly the body metabolizes the medication. If the medication is given every 12 hours, , and the required concentration of medication is 2 milligrams per liter, find the amount of the dosage. Round your result to the nearest hundredth of a milligram. (Suggestion: Solve the equation A + Aekt + Ae2kt + + Ae(n-1)kt + = 2 for A.)

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