Mathematics HL - Nov 2006 - TZ1 - P1

Mathematics HL - Nov 2006 - TZ1 - P1 - IB DIPLOMA PROGRAMME...

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Unformatted text preview: IB DIPLOMA PROGRAMME PROGRAMME DU DIPLME DU BI PROGRAMA DEL DIPLOMA DEL BI N06/5/MATHL/HP1/ENG/TZ0/XX MATHEMATICS HIGHER LEVEL PAPER 1 Thursday 2 November 2006 (afternoon) INSTRUCTIONS TO CANDIDATES Write your session number in the boxes above. Do not open this examination paper until instructed to do so. Answer all the questions in the spaces provided. Unless otherwise stated in the question, all numerical answers must be given exactly or correct to three signifcant fgures. 8806-7201 21 pages 2 hours Candidate session number 0121 88067201 N06/5/MATHL/HP1/ENG/TZ0/XX 8806-7201 2 Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations. In particular, solutions found from a graphic display calculator should be supported by suitable working, e.g. if graphs are used to Fnd a solution, you should sketch these as part of your answer. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. You are therefore advised to show all working. Working may be continued below the lines, if necessary. 1. (a) Find the inverse of the matrix 1 2 1 1 1 2 2 1 4 . (b) Hence solve the system of equations x y z + + = 2 x y z + + = 2 7 2 4 17 x y z + + = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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Mathematics HL - Nov 2006 - TZ1 - P1 - IB DIPLOMA PROGRAMME...

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