By CGP Books

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This booklet is filled with transparent revision notes and examination perform questions for A2 Maths scholars. It covers the C3, C4, S2 and M2 modules for the Edexcel examination, and it’s effortless to learn and revise from - everything’s defined easily and carefully. each few pages there are fast warm-up questions, a few exam-style questions and on the finish of every module there are perform examination papers (answers on the back). There’s additionally a sprinkling of jokes to lighten the temper. It’s precisely what you want to organize in your checks!

**Read Online or Download A2-Level Mathematics Edexcel: Complete Revision & Practice PDF**

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**Extra resources for A2-Level Mathematics Edexcel: Complete Revision & Practice**

**Sample text**

4 marks) (2 marks) xn+1 = 13 (1 − sin 3xn) (2 marks) xn+1 = 3 xn2 - 4 , x0 = −1 Find the values of x1, x2, x3 and x4 correct to 4 decimal places. 315 to 3 decimal places, by choosing an appropriate interval. Show that m lies between 3 and 4. (3 marks) (3 marks) Use a suitable interval to verify that your answer to part b) is correct to 2 decimal places. (3 marks) (3 marks) C3 Section 5 — Numerical Methods 40 General Certificate of Education Advanced Subsidiary (AS) and Advanced Level Core Mathematics C3 — Practice Exam One Time Allowed: 1 hour 30 min Calculators may be used for this exam (except those with facilities for symbolic algebra, differentiation or integration).

P. 4725. p. 4725) have different signs. 0116... 0017... 4725) have different signs, so the root must lie in between them. p. this answer must be correct. 48 0 1 2 3 x f(x) = x3 - x2 - 9 You’re bound to be asked questions on this... There are usually several parts to an exam question on iteration, but it’s all pretty standard stuff. I’d put good money on you having to rearrange an equation to get an iteration formula, or show that an approximation to a root is correct. C3 Section 5 — Numerical Methods 37 Iterative Methods So now that you know all you need to know to be able to tackle the exam questions, let’s have a look at how it all fits together in a worked example.

So the sequence diverges. Usually though, in an exam question, you’ll be given a formula that converges to a certain root — otherwise there’s not much point in using it. If your formula diverges when it shouldn’t, go back and check you’ve not made a mistake. Use Upper and Lower Bounds to ‘Show that’ a root is correct Quite often you’ll be given an approximation to a root and be asked to show that it’s correct to a certain accuracy. This is a lot like showing that the root lies in a certain interval (on the last page) — the trick is to work out the right interval.