Ws 5.5 Partial Fractions And Logistic Growth Word Problem Worksheet Page 9
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10Calculus Maximus
WS 5.5: Partial Fractions & Logistic
13. The slope field show below gives general solutions for the differential equation given by
dP
2
3
P
3
P
.
dt
(a) On the graph above, sketch three solution curves showing three different types of behavior for the
population P.
(b) Describe the meaning of the shape of the solution curves for the population.
I.
Where is P increasing?
II.
Where is P decreasing?
III.
What happens in the long run (for large values of t)?
IV.
Are there any inflection points? If so, where?
V.
What do the inflection points mean for the population?
Page 9 of 10
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