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Question 1
57%

The annual rate of increase of a population is equal to 2% of the size of the population. y y\,y is the population in millions and t t\,t is the time in years.

a.

Write down a differential equation for this relationship

[2]
b.

Show that y=Ae0.02ty = Ae^{0.02t}y=Ae0.02t where A A\,A is a constant

[4]
c.

Given that the initial population is 2.5 million. Find the population after 10 years.

[2]
Markscheme

Integration Questions

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

787 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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