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Question 43

The diagram shows a sector of a circle $A O B$ . Angle $AOB\,$ is $\theta\,$ radians.

Given that the area of triangle $AOB\,$ is $34\displaystyle \frac{3}{4}$ the area of sector $A O B$ .

Show that $sin⁡θ−34θ=0\displaystyle \sin \theta - \frac{3}{4} \theta = 0$

[3]

Use the Newton-Raphson method with $θ0=2\theta_0 = 2$ , to find $\theta_4\,$ as an approximation for $θ\theta$ . Give your answer to be 4 decimal places.

[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 43

The diagram shows a sector of a circle $A O B$ . Angle $AOB\,$ is $\theta\,$ radians.

Given that the area of triangle $AOB\,$ is $34\displaystyle \frac{3}{4}$ the area of sector $A O B$ .

Show that $sin⁡θ−34θ=0\displaystyle \sin \theta - \frac{3}{4} \theta = 0$

[3]

Use the Newton-Raphson method with $θ0=2\theta_0 = 2$ , to find $\theta_4\,$ as an approximation for $θ\theta$ . Give your answer to be 4 decimal places.

[3]

Markscheme

Numerical Methods Questions

A Level
Maths
Numerical Methods