5.5 Partial Fractions & Logistic Growth Worksheet With Answers - Calculus Maximus Page 6
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10Calculus Maximus
WS 5.5: Partial Fractions & Logistic
10. (Calculator Permitted) A population of animals is modeled by a function P that satisfies the logistic
dP
differential equation
0.01 100
P
P
, where t is measured in years.
dt
(a) If
P
(0)
20
, solve for P as a function of t.
(b) Use your answer to (a) to find P when
t
3
years. Give exact and 3-decimal approximation.
(c) Use your answer to (a) to find t when
P
80
animals. Give exact and 3-decimal
approximation.
Page 6 of 10
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