Question: E/P 7 a Express P(10 000 - P) using partial fractions. (3 marks) The deer population, P, in a reservation can be modelled by the

E/P 7 a Express P(10 000 - P) using partial fractions. (3 marks) The deer population, P, in a reservation can be modelled by the differential equation ap 1 20 000 P(10 000 - P) where / is the time in years since the study began. Given that the initial deer population is 2500. b solve the differential equation giving your answer in the form P = b + ce-0.5: (6 marks) c Find the maximum deer population according to the model. (2 marks)

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2. Find out if there are other reference points that can be used as reasonable alternatives.

1. Identify your reference point when making a decision based on an element of risk.

3. If there are reasonable alternatives, think about your decisions based on the different reference points and see if there are any contradictions in the decisions.