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For a certain drug, the rate of reaction in appropriate units is given by where t is the time measured in hours after the drug

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For a certain drug, the rate of reaction in appropriate units is given by where t is the time measured in hours after the drug is administered. The total reaction to the drug over the time period from the 2nd hour to the 8th is approximately Note: Round your answer UP to the nearest whole number. For example, 1.09 and 1.56 would both be rounded to 2 In determining the proper daily dosage for a new drug and the number of days of the medication period, it was found that the daily dosages formed an increasing arithmetic sequence and that the drug was most effective if the dosage on the 6th day was 31 mg and the difference in the dosage between the 6th day and the 10th day was 12 mg. Note that the dosage (in mg) that is required on day 1 of the dosage period is 16 mg and the amount that the dosage is increasing by each day is 3 mg. Then the length (in days) of the medication period, if the medication stops on the day when the dosage given is 88 mg and the total amount of the drug (in mg) required for the entire medication period are: Note: Let 3,, represent the dosage on day n of the dosage period. Since {an} is an arithmetic sequence the 3n+1 = 3n + d, where dis the constant added each day, and 3,, = 31 + (n-1)d, where an is the general nth term. 0 a) 21,1200 0 b) 21,1300 0 C) 25,1200 0 d) 25,1300 0 e) None of the above

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