The number of new AIDS cases reported each year in the United States is modeled by A(x) = −680x2 + 19,307x − 74,310, where x is the number of years after 1990.
a. Find the average number of cases per year for x years after 1990.
b. Find the average number of new cases for 2008.
c. Graph the average number of new AIDS cases on the interval [1, 20].
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