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Answer the following.
In a particular forest, the population density (P) of wild animals (in thousands of animals per sq…
In a particular forest, the population density (P) of wild animals (in thousands of animals per sq. km.) at a distance '$r$' km from the centre of the forest is approximately given by $P = 10 + 20r - 10r^2$.
(a)[1.0]
What is the population density in the centre of the forest?
(b)[1.0]
Calculate the rate of change of population density.
(c)[1.0]
For what value of '$r$' is the population density maximum?
(d)[1.0]
Prove that the population density of animals varies with distance from the centre of the forest.
Answer
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From ISC 2025 Improvement Mathematics Paper 1, question 8(ii).