2007 HCI Prelims Paper 2 Questions

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

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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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