a. Graph S(t) for 0 less than or equal to t less than or equal to 40. Include the graph in your report.
b. what does the S-intercept tell you about the flu outbreak?
c. What can you say about the number of infected students after a long period of time? to what feature of the graph does this fact correspond? Verify your statement with an appropriate limit.
d. thinking about the number of infected students should S'(t) be positive or negative? why?
e. Find S'(t). show all your work. what are the units of S'(t)?
f. find S'(10). Interpret your answer in terms of the flu outbreak?
g. Shoule S'(30) be larger or smaller than S'(10) Why?