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10.2 Iteration

Medium

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Question 13

The curve $C\,$ has the equation $\ln x$ , $x > 0$ .

Find $dydx\displaystyle \frac{dy}{dx}$

[3]

$C\,$ has a stationary point at $P$ . Show that the $x$ -coordinate of $P\,$ lies between 2.5 and 3.

[3]

Show that the $x$ -coordinate of $P\,$ is a solution of $x=61+ln⁡x\displaystyle x = \frac{6}{1 + \ln x}$ .

[3]

Use the iteration formula $xn+1=61+ln⁡xn\displaystyle x_{n+1} = \frac{6}{1 + \ln x_n}$ with $x_0 = 2.8$ to find, to 3 decimal places, the values of $x_1$ , $x_2\,$ and $x_3$ .

[3]

Markscheme

10.2 Iteration Questions

A Level
Maths
10.2 Iteration

31 exam-style questions on Edexcel A Level Maths 10.2 Iteration. Each one has a worked solution and a mark scheme showing where the marks go.

10.2 Iteration

Question bank

10.2 Iteration

Medium

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

Question 13

The curve $C\,$ has the equation $\ln x$ , $x > 0$ .

Find $dydx\displaystyle \frac{dy}{dx}$

[3]

$C\,$ has a stationary point at $P$ . Show that the $x$ -coordinate of $P\,$ lies between 2.5 and 3.

[3]

Show that the $x$ -coordinate of $P\,$ is a solution of $x=61+ln⁡x\displaystyle x = \frac{6}{1 + \ln x}$ .

[3]

Use the iteration formula $xn+1=61+ln⁡xn\displaystyle x_{n+1} = \frac{6}{1 + \ln x_n}$ with $x_0 = 2.8$ to find, to 3 decimal places, the values of $x_1$ , $x_2\,$ and $x_3$ .

[3]

Markscheme

10.2 Iteration Questions

A Level
Maths
10.2 Iteration

31 exam-style questions on Edexcel A Level Maths 10.2 Iteration. Each one has a worked solution and a mark scheme showing where the marks go.