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1.12 I: Numerical methods (A-level only)

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Question 77

A scientist is monitoring the volume of a gas in a controlled chamber.

Exactly 2 minutes after the start of the experiment, the volume of the gas was 3 m33\text{ m}^33 m3.

Exactly 4 minutes after the start of the experiment, the volume of the gas was 4 m34\text{ m}^34 m3.

Given that the volume, V m3V\text{ m}^3V m3, of the gas, ttt minutes after the start of the experiment, can be modelled by the equation

V2=pt2+q V^2 = pt^2 + q V2=pt2+q

where ppp and qqq are constants,

a.

find, to 3 significant figures where necessary, the value of ppp and the value of qqq.

[4]
b.

Exactly TTT minutes after the start of the experiment, the volume of the gas was 10 m310\text{ m}^310 m3.

Find the value of TTT according to the model, giving your answer to one decimal place.

[3]

1.12 I: Numerical methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.12 I: Numerical methods (A-level only)

Practise AQA A Level Maths 1.12 I: Numerical methods (A-level only) with exam-style questions for A Level Maths. 107 questions covering 1.12.1 Locating roots by change of sign (A-level only), 1.12.2 Iterative methods and Newton-Raphson (A-level only), 1.12.3 Numerical integration (A-level only), and 1.12.4 Numerical methods in context (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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