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3.8 Numerical Methods (A-level only)

3.8 Numerical Methods (A-level only)

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Question 91

The rate of fuel consumption R(t)R(t)R(t), measured in litres per hour (L/hL/hL/h), of a trans-oceanic freight ship is monitored during a specific segment of its voyage. The table below displays the recorded consumption rates at 1.5-hour intervals over a 6-hour period.

ttt (hours)0.01.53.04.56.0
R(t)R(t)R(t) (L/hL/hL/h)150.000177.505190.641201.428211.000

Use the trapezium rule with all the values from the table to determine an estimate for the total fuel consumed, in litres, between t=0t = 0t=0 and t=6t = 6t=6.

Give your answer to 3 decimal places.

[5]
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3.8 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.8 Numerical Methods (A-level only)

129 exam-style questions on WJEC A Level Maths 3.8 Numerical Methods (A-level only), covering 3.8.1 Numerical Methods (A-level only), 3.8.2 Numerical Methods (A-level only), 3.8.3 Numerical Methods (A-level only), 3.8.4 Numerical Methods (A-level only), and 3.8.5 Numerical Methods (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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