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(E) from 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). The function N has been modeled by the function
MC) ---( - 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 = fin
1000
a
0
12
21
1 days)
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