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4.6 Integration (A-level only)

4.6 Integration (A-level only)

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Question 15

A researcher is studying the growth of a bioluminescent organism. The volume VVV of the organism (in mm3\text{mm}^3mm3) satisfies the differential equation

dVdt=6t2ln⁡tV \frac{\text{d}V}{\text{d}t} = \frac{6t^2 \ln t}{V} dtdV​=V6t2lnt​

for t≥1t \ge 1t≥1, where ttt is the time in days since the start of the observation.

Given that the volume of the organism is 4 mm34\text{ mm}^34 mm3 when t=1t = 1t=1, solve the differential equation to find an expression for V2V^2V2 in terms of ttt.

[6]
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4.6 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.6 Integration (A-level only)

92 exam-style questions on WJEC A Level Maths 4.6 Integration (A-level only), covering 4.6.1 Integration (A-level only) and 4.6.2 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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