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) | 0.0 | 1.5 | 3.0 | 4.5 | 6.0 |
|---|---|---|---|---|---|
| R(t)R(t)R(t) (L/hL/hL/h) | 150.000 | 177.505 | 190.641 | 201.428 | 211.000 |
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.
Practise Edexcel A Level Maths Integration with exam-style questions for A Level Maths. 437 questions 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, matched to the Edexcel A Level Maths (9MA0) 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.
