Biomedical: AIDS The cumulative number of cases of AIDS (acquired immunodeficiency syndr...

Biomedical: AIDS The cumulative number of cases of AIDS (acquired immunodeficiency syndrome) in the United States between 1981 and 2000 is given approximately by the function in thousands of cases, where x is the number of years since 1980.

a. Graph this function on your graphing calculator on the window [1, 20] by [0, 800]. Notice that at some time in the 1990s the rate of growth began to slow.

b. Find when the rate of growth began to slow. [Hint: Find where the second derivative of ƒ(x) is zero, and then convert the x-value to a year.]