The rate of change dP of the number of wolves on an island is modeled by the following differential equation: dP 31 P(784 – P) dt 124423 At t = 0, the number of wolves on the island is 221 and is increasing at a rate of 31 d²P wolves per day. Assuming t > 0, for what values of P is 0?

College Algebra
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ISBN:9781337282291
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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The rate of change d of the number of wolves on an island is modeled by the
dt
following differential equation:
dP
31
Р(784 — Р)
-
dt
124423
At t = 0, the number of wolves on the island is 221 and is increasing at a rate of 31
d²P
wolves per day. Assuming t > 0, for what values of P is
< 0?
dt2
Transcribed Image Text:The rate of change d of the number of wolves on an island is modeled by the dt following differential equation: dP 31 Р(784 — Р) - dt 124423 At t = 0, the number of wolves on the island is 221 and is increasing at a rate of 31 d²P wolves per day. Assuming t > 0, for what values of P is < 0? dt2
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