Mathematics (AS & A Level) · May / June 2024 · Paper 31 · Question 11
9709
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In a field there are 300 plants of a certain species, all of which can be infected by a particular disease. At time t after the first plant is infected there are x infected plants. The rate of change of x is proportional to the product of the number of plants infected and the number of plants that are not yet infected. The variables x and t are treated as continuous, and it is given that . t x 0 2 d d = and x 1 = when t 0 = .
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11(a)[2]
11(b)[9]
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