An epidemiologist determines that a particular epidemic spreads in such a way that t weeks after the outbreak, N hundred new cases will be reported, where

a. Find N'(t) and N"(t).

b. At what time is the epidemic at its worst? What is the maximum number of reported new cases?

c. Health officials declare the epidemic to be under control when the rate of reported new cases is minimized. When does this occur? What number of new cases will be reported at that time?

Transcribed Image Text:

N(t) 5t 12 + t²