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1.10 Numerical Methods (A-level only)

1.10 Numerical Methods (A-level only)

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Question 34

The curve $C\,$ with equation $y = e^x$ meets the line $L\,$ with equation $y = 2 x + 10$ at the point $R$ .

a.

Show that the $x\,$ coordinate of $R\,$ satisfies $\ln(2x + 10)$ .

[2]

b.

Use the iteration formula $x_{n+1} = \ln(2x_n + 10)$ with $x_0 = 3$ to find, to 3 decimal places, the values of $x_1$ , $x_2\,$ and $x_3$ .

[3]

Markscheme

1.10 Numerical Methods (A-level only) Questions

A Level
Maths
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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