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68% 3) Sun 10:17 p openvellum.ecollege.com Top Hat d9ed- TPschedule ULTIMATE GUITAR WebAssign GEB HW Connect Und-tran-pret ebok tacu ara urlah . mathxl.com MAC1105 Ashley Skipper &7/22/18 10:17 PM Homework: Homework: Section 4.5 Score: 0 of 1 pt 4.5.37 Save 5 of 5 (0 complete) HW Score: 0%, 0 of 5 p Question Help The logistic growth function at right describes the number of people, f0), who have become ill with influenza t weeks after its intbal outbreak in a particular community. 105,000 1+4500e a. How many people became ill with the flu when the epidemic began? b. How many people were ill by the end of the fourth week? c, what is the limiting size of the population that becomes il? a. The number of people initially infected is (Round to the nearest number of people.)Explanation / Answer
f(t) = 105,000 / (1 + 4500*e^(-t))
a)
at t =0,
f(0) = 105,000 / (1 + 4500*e^(-0))
f(0) = 105,000 / (1 + 4500*1)
f(0) = 105,000 / (4501)
f(0) = 23
Answer: 23
b)
at t =4,
f(0) = 105,000 / (1 + 4500*e^(-4))
f(0) = 105,000 / (1 + 4500*0.0183156)
f(0) = 105,000 / (83.42)
f(0) = 1259
Answer: 1259
c)
at t =infinity,
f(0) = 105,000 / (1 + 4500*e^(-inf))
f(0) = 105,000 / (1 + 4500*0)
f(0) = 105,000 / (1)
f(0) = 105,000
Answer: 105,000
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