In someone affected 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.
The table shows the number of people per day who died from SARS in Singapore at two-week intervals beginning on March 1, 2003.
(a) By using an argument similar to that in Example 4, estimate the number of people who died of SARS in Singapore between March 1 and May 24, 2003, using both left endpoints and right endpoints.
(b) How would you interpret the number of SARS deaths as an area under a curve?
Okay. We know that if we look at the upper estimate of the graph, we have five times 50 was 77 plus 95. It was one of nine. It's 117 plus 1 20 from lower estimate. Okay, add them up the average dumps. That means divide them by two. Okay, take this value. Multiply it by one. Divided by 3600 Another 3600 seconds. In an hour, we get 0.705 sex. You know, it's his core matter.