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1.10 Numerical Methods (A-level only)

1.10 Numerical Methods (A-level only)

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Question 16

The area A A\,A under the curve y=1x+1\displaystyle y = \frac{1}{x + 1}y=x+11​ between x=0x = 0x=0 and x=2x = 2x=2 is estimated using four rectangles of equal width.

a.

Show that the function is decreasing on this interval.

[2]
b.

Find a lower bound for AAA, giving your answer as an exact fraction.

[2]
c.

Find an upper bound for AAA, giving your answer as an exact fraction.

[2]
Markscheme

1.10 Numerical Methods (A-level only) Questions

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

137 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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