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?
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?
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee043644-8c82-4555-bd39-471becdabd6c%2Faea9a6da-2c70-4b7f-bd02-d4324dee82f1%2Fcef1d1e_processed.png&w=3840&q=75)
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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