2. A certain calculator manufacturer estimates that they sell approximately S(t) calcula-

tors each year, where t is number of years since 2000 (so they sold S (1) calculators in

the year 2001), where S(t) = 10000 — 9000601.

(a) Calculate S’(t) by hand.

(b) Calculate :hm S’ (t) Explain what your answer means in terms of the rate of

—gt;oo

change of calculators sold each year. (c) Does the rate of change of calculators sold ever equal zero? Math