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Mathematics (AS & A Level) · May / June 2022 · Paper 33 · Question 8

9709

As printed in the paper

The question as text

At time t days after the start of observations, the number of insects in a population is N. The variation in the number of insects is modelled by a differential equation of the form dN dt = kN 3 2 cos 0.02t, where k is a constant and N is a continuous variable. It is given that when t = 0, N = 100.

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Show the answer and mark scheme
  • 8(a)[5]

  • 8(b)[2]

  • 8(c)[2]

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