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Question 6

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

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

[2]

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

Numerical Methods Questions

A Level
Maths
Numerical Methods

80 exam-style questions on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.

Numerical Methods

Question bank

Numerical Methods

Medium Hard

Question 6

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

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

[2]

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

Numerical Methods Questions

A Level
Maths
Numerical Methods