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3.6 Integration (A-level only)

3.6 Integration (A-level only)

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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

3.6 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Integration (A-level only)

363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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