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3.6 Integration (A-level only)

3.6 Integration (A-level only)

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Question 37

The hourly rate of increase of a bacteria colony is equal to 5% of the current size of the colony. N N\,N is the number of bacteria in thousands and t t\,t is the time in hours.

a.

Write down a differential equation for this relationship.

[2]
b.

Show that N=Ae0.05tN = Ae^{0.05t}N=Ae0.05t where A A\,A is a constant.

[4]
c.

Given that the initial number of bacteria is 4000. Find the number of bacteria after 8 hours to 3 significant figures.

[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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