Paper Reference(s) Edexcel GCE

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Candidate No.

Paper Reference

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6666

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Paper Reference(s)

6666/01

Examiner's use only

Edexcel GCE

Team Leader's use only

Core Mathematics C4

Advanced

Wednesday 18 June 2014 ? Afternoon Time: 1 hour 30 minutes

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Materials required for examination Items included with question papers

Mathematical Formulae (Pink)

Nil

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Candidates may use any calculator allowed by the regulations of the Joint

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Council for Qualifications. Calculators must not have the facility for symbolic algebra manipulation or symbolic differentiation/integration, or have

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retrievable mathematical formulae stored in them.

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Instructions to Candidates In the boxes above, write your centre number, candidate number, your surname, initials and signature. Check that you have the correct question paper. Answer ALL the questions. You must write your answer for each question in the space following the question. When a calculator is used, the answer should be given to an appropriate degree of accuracy.

Information for Candidates A booklet `Mathematical Formulae and Statistical Tables' is provided. Full marks may be obtained for answers to ALL questions. The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2). There are 8 questions in this question paper. The total mark for this paper is 75. There are 28 pages in this question paper. Any blank pages are indicated.

Advice to Candidates You must ensure that your answers to parts of questions are clearly labelled. You should show sufficient working to make your methods clear to the Examiner. Answers without working may not gain full credit.

This publication may be reproduced only in accordance with Pearson Education Ltd copyright policy. ?2014 Pearson Education Ltd.

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1. A curve C has the equation

x3 + 2xy ? x ? y3 ? 20 = 0

(a) Find dy in terms of x and y. dx (5)

(b) Find an equation of the tangent to C at the point (3, ?2), giving your answer in the form ax + by + c = 0, where a, b and c are integers. (2)

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2. Given that the binomial expansion of (1 + kx)?4, ?kx ?< 1, is

1 ? 6x + Ax2 + ...

(a) find the value of the constant k, (2)

(b) find the value of the constant A, giving your answer in its simplest form. (3)

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