In a person infected with measles, the virus level N (measured in number of infected cells per ml of blood plasma) reaches a peak density at about t = 12 days (when a rash appears) and then decreases fairly rapidly as a result of immune response. The area under the graph of N(t), the t-axis, and the lines t = 0 tot = 12, (as shown in the figure) is equal to the total amount of infection needed to develop symptoms (measured in density of infected cells x time).

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In a person infected with measles, the virus level N (measured in number of infected cells per ml of blood plasma) reaches a peak
density at about t 12 days (when a rash appears) and then decreases fairly rapidly as a result of immune response. The area
under the graph of N(t), the t-axis, and the lines t = 0 to t = 12, (as shown in the figure) is equal to the total amount of infection
needed to develop symptoms (measured in density of infected cells x time).
N= f)
1000-
12
21
The function has been modeled by the function
(t) = -t(t - 21)(t + 1).
Use this model with six subintervals and their midpoints to estimate the total amount of infection (in (infected cells/mL) - day)
needed to develop symptoms of measles.t
(infected cells/mL) day
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Transcribed Image Text:In a person infected with measles, the virus level N (measured in number of infected cells per ml of blood plasma) reaches a peak density at about t 12 days (when a rash appears) and then decreases fairly rapidly as a result of immune response. The area under the graph of N(t), the t-axis, and the lines t = 0 to t = 12, (as shown in the figure) is equal to the total amount of infection needed to develop symptoms (measured in density of infected cells x time). N= f) 1000- 12 21 The function has been modeled by the function (t) = -t(t - 21)(t + 1). Use this model with six subintervals and their midpoints to estimate the total amount of infection (in (infected cells/mL) - day) needed to develop symptoms of measles.t (infected cells/mL) day Need Help? Read It
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