96. A certain diet pill is designed to delay the administration of the active ingredient for several hours. The concentration C(t) (in mg/L) of the active ingredient in the bloodstream í hours after taking the pill is modeled by 31 22 – 20t + 51 C(t) a. Use a graphing utility to graph the function. b. What are the domain restrictions on the function? c. Use the graph to approximate the maximum concentration. Round to the nearest mg/L. d. What is the limiting concentration?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
ChapterA: Appendix: Review Topics
SectionA.3: Introduction To Functions
Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....
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96. A certain diet pill is designed to delay the administration of the active ingredient for several hours. The
concentration C(t) (in mg/L) of the active ingredient in the bloodstream í hours after taking the pill is
modeled by
31
22 – 20t + 51
C(t)
a. Use a graphing utility to graph the function.
b. What are the domain restrictions on the function?
c. Use the graph to approximate the maximum concentration. Round to the nearest mg/L.
d. What is the limiting concentration?
Transcribed Image Text:96. A certain diet pill is designed to delay the administration of the active ingredient for several hours. The concentration C(t) (in mg/L) of the active ingredient in the bloodstream í hours after taking the pill is modeled by 31 22 – 20t + 51 C(t) a. Use a graphing utility to graph the function. b. What are the domain restrictions on the function? c. Use the graph to approximate the maximum concentration. Round to the nearest mg/L. d. What is the limiting concentration?
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