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Question 345

The rate of increase of a population, PPP, t t\,t days after it is initially recorded is given by:

dPdt=P5 \frac{dP}{dt} = \frac{P}{5} dtdP​=5P​

Given that the initial population was 50.

Find a model for P P\,P in the form P=AektP = Ae^{kt}P=Aekt and hence find the population after 5 days, giving your answer in exact form.

[6]
Markscheme

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

864 exam-style questions on Edexcel A Level Maths Integration, covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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