Cambridge International AS & A Level MATHEMATICS 9709/22 Paper 2 Pure Mathematics 2

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Cambridge International AS & A Level MATHEMATICS 9709/22 Paper 2 Pure Mathematics 2   Cambridge International AS & A Level CANDIDATE NAME CENTRE NUMBER CANDIDATE NUMBER ... MATHEMATICS 9709/22 Paper 2 Pure Mathematics 2 February/March 2022 1 hour 15 minutes You must answer on the question paper. You will need: List of formulae (MF19) INSTRUCTIONS Answer 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 question number 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 a calculator. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question. INFORMATION The total mark for this paper is 50. The number of marks for each question or part question is shown in brackets [ ]. This document has 12 pages. JC22 03_9709_22/RP © UCLES 2022 [Turn over 1 Solve the equation |5x − 2| = |4x + 9|. [3] ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ 2 A curve has equation y = 7 + 4 ln(2x + 5). Find the equation of the tangent to the curve at the point (−2, 7), giving your answer in the form ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ 3 The variables x and y satisfy the equation y 32aax, where a is a constant. The graph of ln y against x is a straight line with gradient 0.239. (a) Find the value of a correct to 3 significant figures. 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(b) Hence find the value of x when y = 36. Give your answer correct to 3 significant figures. [2] ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ .................................................................... [Show More]

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