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Numerical Methods

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Question 215

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]
Markscheme

Numerical Methods Questions

  1. A Level
  2. /Maths
  3. /Numerical Methods

329 exam-style questions on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.

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