Notice of a town meeting is spread by word of mouth to the town's 4000 residents. After t days, the number of people who know about the meeting is expressed by the function f(t) = 4000/(1 + 40 e^(-0.4 t)).
(a) Approximately how many people will have heard the news after 8 days?
(b) How long will it take for half of the townspeople to have heard about the meeting?
(c) Find an equation to express the rate at which notice of the meeting is spreading.

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this is a question for those calculus experts

a) plug t=8 in f(t)
b) solve for t: 2000 = 4000/(1 + 40 e^(-0.4 t)).
c) find f'(t)

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