Chapter 3.9, Problem 361E

[T] The number of cases of influenza in New York

City from the beginning of 1960 to the beginning of 1961 is

modeled by the function   $N\left(t\right)=5.3e^{0.093t^2-0.87t},\left(0\le t\le 4\right)$ , where N(t)

gives the number of cases (in thousands) and t is measured in years, with t = 0 corresponding to the beginning of 1960.

1. Show work that evaluates N(0) and N(4). Briefly
describe what these values indicate about the disease in New York City.

Show work that evaluates N’(0) and N’(3).

Briefly describe what these values indicate about the disease in the United States.