2007 HCI Prelims Paper 2 Questions

2007 HCI Prelims Paper 2 Questions - HWA CHONG INSTITUTION...

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HWA CHONG INSTITUTION JC2 PRELIMINARY EXAMINATION 2007 MATHEMATICS 9740/02 Higher 2 Paper 2 Friday 14 September 2007 3 hours Additional materials: Answer paper C o v e r P a g e List of Formula (MF15) READ THESE INSTRUCTIONS FIRST Write your name and CT class on all the work you hand in, including the Cover Page. Write in dark blue or black pen on both sides of the paper. You may use a soft pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Do not write anything on the List of Formula (MF15). Answer all the questions. Begin each answer on a fresh page of paper. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. You are expected to use a graphic calculator. Unsupported answers from a graphic calculator are allowed unless a question specifically states otherwise. Where unsupported answers from a graphic calculator are not allowed in a question, you are required to present the mathematical steps using mathematical notations and not calculator commands. You are required of the need for clear presentation in your answers. The number of marks is given in brackets [ ] at the end of each question or part question. At the end of the examination, place the completed cover page on top of your answer scripts and fasten all your work securely together with the string provided. This question paper consists of 6 printed pages. © HCI & MATH 2007 9740/02/N/07 [Turn over
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2 Section A: Pure Mathematics [40 marks] 1. Booboo bird is an endangered species of birds on Cook’s Island. The ornithologist found that the population of the Booboo birds is decreasing at a rate inversely proportional to the number of birds and decides to bring in a fixed number of the Booboo birds yearly. At time years after Year 2000, t x is the number of Booboo birds on the island. It is also known that the number of birds remain constant when 20 x = . Show that d 1 d x k tx =− ⎝⎠ 2 0 where is a positive constant. [2] k The ornithologist found 104 and 121 Booboo birds on Cook’s Island in the Year 2005 and 2006 respectively. Use the above model to predict the number of Booboo birds on the island in Year 2007. State an assumption made in your calculation. [5] 2. The equation E is given by 42 0 za zb + += where and are constants.
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This note was uploaded on 08/29/2009 for the course MA 9740 taught by Professor Moe during the Summer '07 term at Singapore Management.

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2007 HCI Prelims Paper 2 Questions - HWA CHONG INSTITUTION...

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