applied calc derivatives HW30(2)

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(1 pt) A rumor spreads among a group of 800 people. The number of people, ), who have heard the rumor by time t in hours since the rumor started to spread can be approximated by a function of the form 800 N(I) = 1 + 799-04 (a) Find (0) and interpret it. N(0) = Interpretation: A. The number of people who start the rumor. B. The number of people who have not yet heard the rumor. C. The time when nobody has yet heard the rumor. (b) How many people will have heard the rumor After 3 hours: After 6 hours: (c) Graph N(t). Use the graph to answer the following 1. Approximately how long until half the people have heard the rumor? In hours: hr 2. Approximately how long until virtually everyone has heard the rumor? (Note: you can take "virtually everyone" to mean that (1) rounds to 800 to two digits, e.g. 799.) In hours: hr 3. Approximately when is the rumor spreading fastest? In hours: hr
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