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2023 Feb March-Maths 9709 Paper 3

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2023 Feb March-Maths 9709 Paper 3
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题题Cambridge AssessmentInternational EducationCambridge International AS A LevelCANDIDATENAMECENTRECANDIDATENUMBERNUMBERMATHEMATICS9709/32wPaper 3 Pure Mathematics 3February/March 20231 hour 50 minutesYou must answer on the question paper.You will need:List of formulae (MF19)INSTRUCTIONSAnswer all questions.Use a black or dark blue pen.You may use an HB pencil for any diagrams or graphs.Write your name,centre number and candidate number in the boxes at the top of the page.Write your answer to each question in the space provided.Do not use an erasable pen or correction fluid.Do not write on any bar codes.If additional space is needed,you should use the lined page at the end of this booklet;the questionnumber or numbers must be clearly shown.You should use a calculator where appropriate.You must show all necessary working clearly;no marks will be given for unsupported answers from acalculator.Give non-exact numerical answers correct to 3 significant figures,or 1 decimal place for angles indegrees,unless a different level of accuracy is specified in the question.INFORMATIONThe total mark for this paper is 75.The number of marks for each question or part question is shown in brackets[]This document has 20 pages.JC2303970932/2R©UCLES2023[Turn over21 It is given that x In(2y-3)-In(y+4).Express y in terms of x.970932/FM2332 (a)On an Argand diagram,shade the region whose points represent complex numbers z satisfyingthe inequalities-r≤arg(z-1-2i)≤t and Rez≤3.[3](b)Calculate the least value of argz for points in the region from (a).Give your answer in radianscorrect to 3 decimal places.[2]970932/FM23[Turn over
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