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Mathematics (AS & A Level) · Oct / Nov 2021 · Paper 33 · Question 10

9709

As printed in the paper

The question as text

A large plantation of area 20 km2 is becoming infected with a plant disease. At time t years the area infected is x km2 and the rate of increase of x is proportional to the ratio of the area infected to the area not yet infected. When t = 0, x = 1 and dx dt = 1.

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme
  • 10(a)[2]

  • 10(b)[5]

  • 10(c)[3]

  • 10(d)[1]

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