In someone 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) from 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). The function N has been modeled by the function f(t) = -t(t – 21)(t + 1). Use this model with six subintervals and their midpoints to estimate the total amount of infection needed to develop symptoms of measles. NA N= f(t) 1000- 12 21 t (days)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Section2.1: Tables And Trends
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In someone 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) from 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).
The function N has been modeled by the function
f(t) = -t(t – 21)(t + 1).
Use this model with six subintervals and their midpoints to estimate the total amount of infection needed to develop symptoms of measles.
NA
N= f(t)
1000-
12
21
t (days)
Transcribed Image Text:In someone 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) from 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). The function N has been modeled by the function f(t) = -t(t – 21)(t + 1). Use this model with six subintervals and their midpoints to estimate the total amount of infection needed to develop symptoms of measles. NA N= f(t) 1000- 12 21 t (days)
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