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1.10 Numerical Methods (A-level only)

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Question 57
a.

Use the trapezium rule with four strips, each of width 0.5, to find an estimate for

∫13xex dx \int_1^3 x\sqrt{e^x}\,dx\,∫13​xex​dx

Give your answer to three significant figures.

[4]
b.

Explain how the trapezium rule could be used to obtain a more accurate estimate.

[1]
Markscheme

1.10 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.10 Numerical Methods (A-level only)

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.

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