Cambridge AssessmentCollinsInternational EducationEndorsed for Paper 3Cambridge InternationalAS A Level Further MathematicsFurther MechanicsSTUDENT'S BOOKAAnthony Alonzi,Chris ChisholmSeries Editor:Dr Adam BoddisonCollinsCambridge InternationalAS A Level Further MathematicsFurther MechanicsSTUDENT'S BOOKAnthony Alonzi,Chris ChisholmSeries Editor:Dr Adam BoddisonWilliam Collins'dream of knowledge for all began with the publication of hisfirst book in 1819.A self-educated mill worker,he not only enriched millions of lives,but alsofounded a flourishing publishing house.Today,staying true to this spirit,Collins books are packed with inspiration,innovation and practical expertise.They place you at the centre of a world of possibility and give you exactlywhat you need to explore it.Collins.Freedom to teachPublished by CollinsThe News Building1 London Bridge StreetLondonSE1 9GFAcknowledgementsBrowse the complete Collins catalogue atThe publishers wish to thank Cambridge AssessmentInternational Education for permission to reproducequestions from past AS A Level Mathematics andFurther Mathematics papers.Cambridge Assessment10987654321International Education bears no responsibility forthe example answers to questions taken from its1SBN978-0-00-834039-1past papers.These have been written by the authors.All rights reserved.No part of this publication may be reproduced,Exam-style questions and sample answers havestored in a retrieval system,or transmitted in any form by any means,been written by the authors.electronic,mechanical,photocopying,recording or otherwise,withoutThe publishers wish to thank the following forthe prior written permission of the Publisher or a licence permittingpermission to reproduce photographs.Every effortrestricted copying in the United Kingdom issued by the Copyrighthas been made to trace copyright holders and toLicensing Agency Ltd,Barnard's Inn,86 Fetter Lane,London,obtain their permission for the use of copyrightEC4A 1EN.material.The publishers will gladly receive anyBritish Library Cataloguing-in-Publication Datainformation enabling them to rectify any error oromission at the first opportunity.A catalogue record for this publication is available from thepvi sportpoint/Shutterstock,p1 sportpoint/Shutter-British Library.stock,p23 Oleg Totskyi/Shutterstock,p75 AnnetteCommissioning editor:Jennifer HallShaff/Shutterstock,p103 ALEXANDER V EVSTAF-In-house editor:Lara McMurrayYEV/Shutterstock,p129 PhilipYb Studio/Shutter-Author:Anthony Alonzi/Chris Chisholmstock,p147 giulia186/Shutterstock.Series editor:Dr Adam BoddisonDevelopment editor:Tim MajorProject manager:Emily HootonCopyeditor:Penny NicholsonReviewer:Adele SearleProofreaders:Julie Bond/Joan MillerAnswer Checkers:David Hemsley/Just ContentCover designer:Gordon MacGilpCover illustrator:Maria Herbert-LiewTypesetter:Jouve India Private LtdProduction controller:Sarah BurkePrinted and bound by CPI Group(UK)Ltd,Croydon,CRO 4YYFull worked solutions for all exercises,exam-style questions and past paper questions in this book available to teachers byemailing international.schools@harpercollins.co.uk and stating the book title.