1. The graph below shows the concentration of a drug (in mg/L) in the bloodstream, t hours after it is taken orally. Use the graph to answer a-f. Y 80 76- 72 68 64- 60 56 52 48 44 40 36 32+ 28- 24+ 20+ 16- 12 8 4- 7 8 9 10 11 12 13 14 15 16 17 18 19 20 t c(t) 0 2 4 a. What is the concentration after 8 hours? 2. Suppose another drug is administered intravenously. The concentration c of the drug (in mg/L) in the bloodstream, t hours after it is administered, is modeled by the function_c(t)= 20t t² +4 a. Determine when the concentration will be 0.5 mg/L. 6 b. Over what interval(s) does the concentration increase? Over what interval(s) does the concentration decrease? b. Complete the table representing the concentration of the drug in the bloodstream, t hours after administration. Round to two decimal places as needed. 8 c. When is the drug at its maximum concentration? What is the maximum concentration of the drug? d. After the drug reaches its maximum concentration, how many hours are required for the concentration to decrease to 16 mg/L? e. What does the graph predict about the concentration after 1 week? After 1 month? f. Summarize the concentration of the drug in the bloodstream for the first 20 hours after it is taken. Use findings from a-e to validate your statements. 10 12 14 16 18 20 Page 1 of 5
1. The graph below shows the concentration of a drug (in mg/L) in the bloodstream, t hours after it is taken orally. Use the graph to answer a-f. Y 80 76- 72 68 64- 60 56 52 48 44 40 36 32+ 28- 24+ 20+ 16- 12 8 4- 7 8 9 10 11 12 13 14 15 16 17 18 19 20 t c(t) 0 2 4 a. What is the concentration after 8 hours? 2. Suppose another drug is administered intravenously. The concentration c of the drug (in mg/L) in the bloodstream, t hours after it is administered, is modeled by the function_c(t)= 20t t² +4 a. Determine when the concentration will be 0.5 mg/L. 6 b. Over what interval(s) does the concentration increase? Over what interval(s) does the concentration decrease? b. Complete the table representing the concentration of the drug in the bloodstream, t hours after administration. Round to two decimal places as needed. 8 c. When is the drug at its maximum concentration? What is the maximum concentration of the drug? d. After the drug reaches its maximum concentration, how many hours are required for the concentration to decrease to 16 mg/L? e. What does the graph predict about the concentration after 1 week? After 1 month? f. Summarize the concentration of the drug in the bloodstream for the first 20 hours after it is taken. Use findings from a-e to validate your statements. 10 12 14 16 18 20 Page 1 of 5
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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