A drug is injected into the bloodstream of a patient through the right arm. The drug concentration in the bloodstream of the left arm t hours after the injection is approximated by the function below, where 0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
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A drug is injected into the bloodstream of a patient through the right arm. The drug concentration in the bloodstream of the left armt hours after the injection is approximated by the function
below, where 0<t<26. Find the critical numbers of C(t), the intervals on which the drug concentration is decreasing, the intervals on which the drug concentration is increasing, and the local
extrema. Do not graph.
0.27t
C()-
+25
重
Find the critical numbers of C(t). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The critical number(s) is/are t=
(Use a comma to separate answers as needed.)
O B. There are no critical numbers of C(t).
The drug concentration is decreasing on the interval(s)
(Type your answer in interval notation. Use a comma to separate answers as needed.)
The drug concentration is increasing on the interval(s) |
(Type your answer in interval notation. Use a comma to separate answers as needed.)
Find the local extrema. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. There is a local maximum at C
(Simplify youT answer. Round to three decimal places as needed.)
O B. There is a local minimum at C| )=E
(Simplify your answer. Round to three decimal places as needed.)
C. There is a local minimum at C =| |and a local maximum at C(| |)
(Simplify your answers. Round to three decimal places as needed.)
O D. There are no local extrema.
rces
Next
e to search
Transcribed Image Text:A drug is injected into the bloodstream of a patient through the right arm. The drug concentration in the bloodstream of the left armt hours after the injection is approximated by the function below, where 0<t<26. Find the critical numbers of C(t), the intervals on which the drug concentration is decreasing, the intervals on which the drug concentration is increasing, and the local extrema. Do not graph. 0.27t C()- +25 重 Find the critical numbers of C(t). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical number(s) is/are t= (Use a comma to separate answers as needed.) O B. There are no critical numbers of C(t). The drug concentration is decreasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) The drug concentration is increasing on the interval(s) | (Type your answer in interval notation. Use a comma to separate answers as needed.) Find the local extrema. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is a local maximum at C (Simplify youT answer. Round to three decimal places as needed.) O B. There is a local minimum at C| )=E (Simplify your answer. Round to three decimal places as needed.) C. There is a local minimum at C =| |and a local maximum at C(| |) (Simplify your answers. Round to three decimal places as needed.) O D. There are no local extrema. rces Next e to search
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