Ws 5.5 Partial Fractions And Logistic Growth Word Problem Worksheet

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Calculus Maximus
WS 5.5: Partial Fractions & Logistic
Name_________________________________________ Date________________________ Period______
Worksheet 5.5—Partial Fractions & Logistic Growth
Show all work. No calculator unless stated.
Multiple Choice
1. The spread of a disease through a community can be modeled with the logistic equation
600
y
, where y is the number of people infected after t days. How many people are infected
0.1
t
1 59
e
when the disease is spreading the fastest?
(A) 10
(B) 59
(C) 60
(D) 300
(E) 600
2. The spread of a disease through a community can be modeled with the logistic equation
0.9
y
, where y is the proportion of people infected after t days. According to the model,
0.15
t
1 45
e
what percentage of people in the community will not become infected?
(A) 2%
(B) 10%
(C) 15%
(D) 45%
(E) 90%
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