Examiner’s use only Team Leader’s use only Question Leave Number Blank 1 2 3 4 5 6 7 8 9 10 TotalSurname Initial(s)SignatureTurn overPaper Reference666401 Paper Reference(s)6664/01Edexcel GCECore Mathematics C2Advanced SubsidiaryFriday 9 January 2009 – MorningTime: 1 hour 30 minutesMaterials required for examination Items included with question papersMathematical Formulae (Green) NilCandidates may use any calculator allowed by the regulations of the Joint Council for Qualifications. Calculators must not have the facility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulae stored in them. Instructions to CandidatesIn 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 CandidatesA 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 10 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 CandidatesYou 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.Examiner’s use only Team Leader’s use only Question Leave Number Blank 1 2 3 4 5 6 7 8 9 10 TotalSurname Initial(s)Signature Centre No.*H30957A0128*Turn over Candidate No.This publication may be reproduced only in accordance with Edexcel Limited copyright policy. ©2009 Edexcel Limited. Printer’s Log. No. H30957AW850/R6664/57570 3/3/3/3www.mymathscloud.com
Leave blank3Turn over*H30957A0328*1. Find the first 3 terms, in ascending powers of x, of the binomial expansion of ()325−x, giving each term in its simplest form.(4)________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Q1(Total 4 marks)www.mymathscloud.com
Leave blank4*H30957A0428*Figure 1Figure 1 shows part of the curve C with equation .The curve intersects the x-axis at x = −1 and x = 4. The region R, shown shaded in Figure 1, is bounded by C and the x-axis.Use calculus to find the exact area of R.(5)___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________yx–1 4CR2.yxx=+ −()( )14www.mymathscloud.com
Leave blank5Turn over*H30957A0528*Question 2 continued______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Q2(Total 5 marks)www.mymathscloud.com
Leave blank6*H30957A0628*3. yxx=√ −()102.(a) Complete the table below, giving the values of y to 2 decimal places. x11.41.82.22.63y33.474.39(2)(b) Use the trapezium rule, with all the values of y from your table, to find an approximation for the value of .___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________√−∫()10213xxxd√−∫()10213xxxd(4)www.mymathscloud.com
