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A sofl drink distributor is studying the effectiveness of 'delivery methods. Three diflerent types ofhand trucks have been developed, and an experiment is perf...

Question

A sofl drink distributor is studying the effectiveness of 'delivery methods. Three diflerent types ofhand trucks have been developed, and an experiment is performed in the company methods engineering laboratory: The variable of interest is the delivery time in minutes (y); however; delivery tine is also strongly related t0 the case volume delivered (x)_ Each hand truck used four times and the data that follow are obtained_ Analyze these data and draw appropriate conclusions Use &=0.05_

A sofl drink distributor is studying the effectiveness of 'delivery methods. Three diflerent types ofhand trucks have been developed, and an experiment is performed in the company methods engineering laboratory: The variable of interest is the delivery time in minutes (y); however; delivery tine is also strongly related t0 the case volume delivered (x)_ Each hand truck used four times and the data that follow are obtained_ Analyze these data and draw appropriate conclusions Use &=0.05_ Hand Truck Type 27 4 41 25 35 46 26 26 32 42 15 40 22 53 18 38 26 50 20 4 35 40



Answers

A patient is given the drug theophylline intravenously at a rate of 43.2 mg/hour to relieve acute asthma. The rate at which the drug leaves the patient's body is proportional 2 to the quantity there, with proportionality constant 0.082 if time, $t,$ is in hours. The patient's body contains none of the drug initially. (a) Describe in words how you expect the quantity of theophylline in the patient to vary with time. (b) Write a differential equation satisfied by the quantity of theophylline in the body, $Q(t)$ (c) Solve the differential equation and graph the solution. What happens to the quantity in the long run?


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