Mathematics — previous courses · 2015 · May · Paper 2 · HL · TZ1 · Question paper

m15/5/mATHL/HP2/eng/TZ1/XX [Personal identifier removed] Higher level Paper 2 © International Baccalaureate Organization 2015 14 pages Instructions to candidates  Write your session number in the boxes above.  Do not open this examination paper until instructed to do so.  A graphic display calculator is required for this paper.  Section A: answer all questions in the boxes provided.  Section B: answer all questions in the answer booklet provided. Fill in your session number on the front of the answer booklet, and attach it to this examination paper and your cover sheet using the tag provided.  Unless otherwise stated in the question, all numerical answers should be given exactly or correct to three significant figures.  A clean copy of the mathematics HL and further mathematics HL formula booklet is required for this paper.  The maximum mark for this examination paper is [120 marks]. 2 hours Wednesday 13 May 2015 (afternoon) 2215 – 7204 16EP01 – 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. For example, if graphs are used to find 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. Section a Answer all questions in the boxes provided. Working may be continued below the lines if necessary. 1. [Maximum mark: 4] The region R is enclosed by the graph of y = e–x2 , the x-axis and the lines x = –1 and x = 1 . Find the volume of the solid of revolution that is formed when R is rotated through 2π about the x-axis. ......................................................................... ......................................................................... ......................................................................... ......................................................................... .........................................................................