Question: QUESTION 6 In the year 2 1 2 5 , a space expedition discovers a new planet, Zorlan, inhabited by an alien species. The alien

QUESTION 6
In the year 2125, a space expedition discovers a new planet, Zorlan, inhabited by an alien species. The alien colony starts with 500 individuals. Scientists observe that the population grows at a rate proportional to its size. After one year, the population grew to 600 individuals.
a. Formulate the differential equation to model the population growth.
b. Solve the differential equation to find the general expression for the population P(t) at any time t.
c. Predict the population size in 5 years.
d. Estimate the time it will take for the population to double.
(10 marks)
QUESTION 6 In the year 2 1 2 5 , a space

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