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1. [-/1 Points] DETAILS SPRECALC7 4.2.023. When a certain medical drug is administered to a patient, the number of milligrams remaining in the patient's bloodstream

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1. [-/1 Points] DETAILS SPRECALC7 4.2.023. When a certain medical drug is administered to a patient, the number of milligrams remaining in the patient's bloodstream after t hours is modeled by D(t) = 70e-0.2t How many milligrams of the drug remain in the patient's bloodstream after 2 hours? (Round your answer to one decimal place.) mg Need Help? Read It Submit Answer 2. [-/2 Points] DETAILS SPRECALC7 4.2.024. A radioactive substance decays in such a way that the amount of mass remaining after t days is given by the function m(t) = 149 0.012t where m(t) is measured in kilograms. (a ) Find the mass at time t = 0. kg (b) How much of the mass remains after 46 days? (Round your answer to one decimal place.) kgA graphing calculator is recommended. The population of a certain species of bird is limited by the type of habitat required for nesting. The population behaves according to the logistic growth model (0 = - 2,700 0.5 + 26.52 0.048 where & is measured in years. 3) Find the initial bird population. birds (b) Draw a graph of the function n(t). n(t) n(t) 5000 5000 t O 50 100 150 200 O 50 100 150 200 n(t) n(t) 5000 5000 t O 50 100 150 200 50 100 150 200 (c) What size does the population approach as time goes on? birds Need Help? Read It Master It 4. [-/1 Points] DETAILS SPRECALC7 4.2.030.MI. A graphing calculator is recommended. For a certain type of tree the diameter D (in feet) depends on the tree's age : (in years) according to the logistic growth model 5.4 D(t) = - 1 + 2.9e-D.QIt Find the diameter of a 37-year-old tree. (Round your answer to three decimal places.) ft 100 300 500 700

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