Porciabeauty4175
19.03.2021 •
Mathematics
The park service that administers a state park estimates that there are 495 deer in the park. They decide to remove deer according to the differential equation dP/dt = −0.1P.
a. Show that the solution to the differential equation dP/dt = −0.1P is P = 495e^−0.1t , where t is measured in years and P is the population of deer. Use it to find the deer population in 5 years to the nearest deer.
b. After this 5-year period, no human intervention is taken and the deer population grows again. From that time, the deer population increases directly proportional to 650−P, where the constant of proportionality is k. Find an equation for the deer population P(t) in terms of t and k for this 5-year period.
c. Using the growth model from part b), 1 year later the deer population is 350. Find k.
d. Using the growth model from part b) and the value of k from part c), find lim t→∞ P(t)
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Ответ:
your answer is (A.)
Step-by-step explanation:
Ответ:
part A: 90/725
Part b: 165/225
Part c: 100/245
Part d: these events are not independent.
Step-by-step explanation: