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Question 613

A laboratory technician models the rate of change of the volume, VVV, of a liquid in a cooling system. The model used is

dVdt=5t2+46t3,t>0 \frac{dV}{dt} = \frac{5t^2 + 4}{6t^3}, \quad t > 0 dtdV​=6t35t2+4​,t>0

where ttt is the time in hours. Determine the general expression for VVV in terms of ttt, giving your answer in simplest form.

[4]
Markscheme

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

864 exam-style questions on Edexcel A Level Maths Integration, covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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