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Question 47

The diagram shows the part of the curve $\sin x$ . The maximum point on the curve is denoted by $P$ .

Show that the $x$ -coordinate of $P\,$ satisfies the equation $tan⁡x+x=0\tan x + x = 0$

[3]

Use the Newton-Raphson method, with a suitable initial value, to find the $x$ -coordinate of $P$ , giving your answer correct to 4 decimal places. Show the result of each iteration.

[4]

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 47

The diagram shows the part of the curve $\sin x$ . The maximum point on the curve is denoted by $P$ .

Show that the $x$ -coordinate of $P\,$ satisfies the equation $tan⁡x+x=0\tan x + x = 0$

[3]

Use the Newton-Raphson method, with a suitable initial value, to find the $x$ -coordinate of $P$ , giving your answer correct to 4 decimal places. Show the result of each iteration.

[4]

Markscheme

Numerical Methods Questions

A Level
Maths
Numerical Methods