We appreciate your visit to The temperature of a patient during an illness is given by the function tex T 0 1d 2 1 2d 98 2 tex where tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
a) The highest temperature was registered on the sixth day after the onset of the illness.
b) The highest temperature of the patient is 101.8.
Step-by-step explanation:
Let [tex]T = -0.1\cdot d^{2}+1.2\cdot d +98.2[/tex], we can find the maximum and minimum temperature of the patient by means of the First and Second Derivative Tests, whose procedure is described below:
First Derivative Test
[tex]T' = -0.2\cdot d +1.2[/tex]
[tex]-0.2\cdot d +1.2 = 0[/tex]
[tex]d = 6[/tex]
Second Derivative Test
[tex]T'' = -0.2[/tex]
Which means that critical value found in the previous step is an absolute maximum and there is no absolute minimum.
a) The highest temperature was registered on the sixth day after the onset of the illness.
b) We evaluated the function at critical value found by First Derivative Test:
[tex]T (6) = -0.1\cdot (6)^{2}+1.2\cdot (6) +98.2[/tex]
[tex]T(6) = 101.8[/tex]
The highest temperature of the patient is 101.8.
Thanks for taking the time to read The temperature of a patient during an illness is given by the function tex T 0 1d 2 1 2d 98 2 tex where tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
