A rumor spreads through a population of 10,000 at a rate proportional to the product of the number of people who have heard it
A rumor spreads through a population of 10,000 at a rate proportional to the product of the number of people who have heard it and the number who have not heard it. Suppose 5 people initiated the rumor and 10 people are aware of the rumor after 1 day. (a) Let y(t) represent the number of people aware of the rumor after t days. Find an expression for y(t). (b) How many people are aware of the rumor after 7 days? (c) How long it will take for 800 people to be aware of the rumor?
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Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon
9th edition
131429248, 978-0131429246
