Course home

Numerical Methods

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76

Question 45

The diagram shows the part of the graphs of $\operatorname{cosec} x$ and $y = x$ .

Write down the coordinates of the minimum point and the equations of the two vertical asymptotes for $\operatorname{cosec} x$

[2]

Show that $\operatorname{cosec} x$ has a root between $x = 2.5$ and $x = 3$

[1]

Use the diagram, starting with $x_1 = 2.5$ , to determine whether the iteration formula can be used to find an approximation for this root, justifying your answer.

[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 45

The diagram shows the part of the graphs of $\operatorname{cosec} x$ and $y = x$ .

Write down the coordinates of the minimum point and the equations of the two vertical asymptotes for $\operatorname{cosec} x$

[2]

Show that $\operatorname{cosec} x$ has a root between $x = 2.5$ and $x = 3$

[1]

Use the diagram, starting with $x_1 = 2.5$ , to determine whether the iteration formula can be used to find an approximation for this root, justifying your answer.

[3]

Markscheme

Numerical Methods Questions

A Level
Maths
Numerical Methods