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Bacteria are growing at a rate such that 1 gram becomes 4 grams after 8 hours. The value of the constant d in the exponential

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Bacteria are growing at a rate such that 1 gram becomes 4 grams after 8 hours. The value of the constant d in the exponential growth function y = yo edt, where ya is the amount present at time t = 0 is: Q a) 0.1732868 O b) 1.1732867 O C) 1.1386294 Q d) 0.1386294 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 29 mg and the difference in the dosage between the 6th day and the 10th day was 12 mg. The dosage (in mg) that is required on day 1 of the dosage period and the amount that the dosage is increasing by each day (in mg) are: Note: Let an represent the dosage on day n of the dosage period. Since {an} is an arithmetic sequence the an\" = an + d, where dis the constant added each day, and .51,1 = 31 + (n-1)d, where an is the general nth term. Oa) 10,2 0 b) 10,3 0c) 14,2 0d) 14,3 0 e) None of the above If the average rate of change of biomass (in mg) of a bacteria culture from time t = 5 hours to t = 15 hours is %mg/hour and the biomass at time t = 5 is 14, then the biomass at t = 15 is 03) 15 Ob) 16 OC) 17 0d) 18 0 e) None of the above

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