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1.9 Numerical Methods (A-level only)

1.9 Numerical Methods (A-level only)

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Question 8

The curve $C\,$ with equation $y = e^x$ meets the line $L\,$ with equation $y = 4 x + 3$ at the point $P$ .

a.

Show that the $x\,$ coordinate of $P\,$ satisfies $\ln(4x + 3)$ .

[2]

b.

Use the iteration formula $x_{n+1} = \ln(4x_n + 3)$ with $x_0 = 2$ to find, to 3 decimal places, the values of $x_1$ , $x_2\,$ and $x_3$ .

[3]

Markscheme

1.9 Numerical Methods (A-level only) Questions

A Level
Maths
1.9 Numerical Methods (A-level only)

125 exam-style questions on OCR A Level Maths 1.9 Numerical Methods (A-level only), covering 1.9.1 Locating roots by sign change (A-level only), 1.9.2 Failure of sign change methods (A-level only), 1.9.3 Simple iterative methods (A-level only), 1.9.4 Newton-Raphson method (A-level only), 1.9.5 Failure of iterative methods (A-level only), 1.9.6 Numerical integration (A-level only), and 1.9.7 Numerical methods in context (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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