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Question 544

The rate of vertical ascent, dhdt\frac{dh}{dt}dtdh​ in metres per minute, of a weather balloon is modelled by the expression:

dhdt=(3t−2)(4t+3)(3t+2) \frac{dh}{dt} = (3t - 2)(4t + 3)(3t + 2) dtdh​=(3t−2)(4t+3)(3t+2)

where ttt is the time in minutes. Find the general expression for the height hhh of the balloon at time ttt, writing 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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