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11 Nov 2019
The population of rabbits at any time t is governed by the differential equation dP / dt = kP. What can be said about the long-term rabbit population if k > 0, k
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Nelly Stracke
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Related questions
Any population, P, for which we can ignore immigration, satisfies Dp/dt= Birth rate - Death rate. For organisms which need a partner for reproduction but rely on a chance encounter for meeting a mate, the birth rate is proportional to the square of the population Thus, the population of such a type of organism satisfies a differential equation of the form This problem investigates the solutions to such an equation. (a) Sketch a graph of dP/dt against P. Note when dP/dt is positive and negative. dP/dt 0 when P is in (b) Use this graph to sketch the shape of solution curves with various initial values: use your answers in part (a), and where dP/dt is increasing and decreasing to decide what the shape of the curves has to be Based on your solution curves, why is P = b/a called the threshold population? If P(0) > b/a, what happens to P in the long run? If P(0) = b/a, what happens to P in the long run? If P(0)
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dP The rate of change of the population of a small town is kP, where P is the population, t is time in years and k is the growth rate. If P = 40000 when t = 3 and P-50000 when t-4, what is the population when t = 10? Round your answer to the dt nearest integer. Submit Answer Tries 0/99
Please help with A, B, and C. Thank you very much, will rate :)
mathxl.com Homework: Section 8.3 Homework Score: 0 of 1 pt Life Sci 8.3.13 Save | 3 of 3 (0 complete) â¼ Hw Score: 0%, 0 of 3 pts Question Help * dP dt The population of rabbits on an island is modeled by 0.000007P(3200-P), where t is measured in months. Suppose there were 60 rabbits at t-0. a) Find the particular solution P. b) What is the limiting population of rabbits? c) When does the population reach 80% of the limiting population? a)P(t) =â¡(Type an exact answer in terms of e.) Enter your answer in the answer box and then click Check Answer. Clear All Check Answer remaining
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