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3.6 Integration (A-level only)

3.6 Integration (A-level only)

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Question 153

The rate of change of the concentration C C\,C of a chemical reagent in a reaction is modeled by the differential equation

dCdt=8tln⁡tC,t>0 \frac{\text{d}C}{\text{d}t} = \frac{8t \ln t}{C}, \quad t > 0 dtdC​=C8tlnt​,t>0

where t t\,t is the time in seconds. Given that the concentration is 6 units when t=1t = 1t=1, solve the differential equation to find an expression for the concentration at any time ttt, giving your answer in the form C2=f(t)C^2 = f(t)C2=f(t).

[6]
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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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