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.
133 exam-style questions on OCR (MEI) A Level Maths 1.10 Numerical Methods (A-level only), covering 1.10.1 Locate roots by change of sign (A-level only), 1.10.2 When change of sign methods fail (A-level only), 1.10.3 Fixed point iteration (A-level only), 1.10.4 Newton-Raphson method (A-level only), 1.10.5 Convergence of iterations (A-level only), 1.10.6 Trapezium rule (A-level only), 1.10.7 Upper and lower bounds using rectangles (A-level only), and 1.10.8 Numerical methods to solve problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.