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Unformatted text preview: THE UNIVERSITY OF THE WEST INDIES EXAMINATION of JULY 2007 Code and Name of Course: EC14C Mathematics for the Social Sciences Paper: BSc Date and Time: Duration : 2 Hours INSTRUCTIONS TO CANDIDATES : This paper has 6 page(s) and FIVE (5) questions • Answer any THREE (3) questions • Each question MUST be attempted on a new page • Candidates are allowed to use nonprogrammable calculators • Graph sheets are provided © The University of the West Indies. DO NOT WRITE OR TYPE ON THE BACK OF THIS SHEET: USE ONE SIDE ONLY INSTRUCTIONS: Each page must be signed by the First and Second Examiners, and where applicable the University and External Examiners. Completed forms should be handed to the Assistant Registrar (Examinations). Where applicable, the EXTERNAL EXAMINER is requested to sign the question paper and return it with comments, if any, (on a separate sheet), to the Assistant Registrar (Examinations) ………………………………….. …………………………………… First Examiner Univers ity Examiner (where applicable) ……………………………………… ………………………………………… Second Examiner External Examiner (where applicable) Date: ………./…………./2007……… Date:………../…………./2007……… 2 QUESTION 1 (a) The cost of a patty in 2006 was $50. If the growth of the cost of a patty is described by the following exponential function: ( ) t e t C 09 . 50 = where t is the number of years & 3 ≤ < t I. What is the cost of a patty in the year 2007? (3 marks) II. What will be the cost of a patty in the year 2009? (3 marks) III. In what year will a patty cost $100? (3 marks) NB. Round off your answers to the nearest whole number. (b) Given ( ) ⎪ ⎩ ⎪ ⎨ ⎧ > − = < + = , 2 , , 1 2 x x x x x x x f Is continuous at ? Give a reason for your answer. (7 marks) ( ) x f = x (c) Find the nth term of the sequence: 2 1 ,  3 2 , 4 3 ,  Κ , 5 4 (4 marks) © The University of the West Indies. © The University of the West Indies....
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This note was uploaded on 03/16/2011 for the course ECON 1003 taught by Professor Dr.mcdonald during the Spring '11 term at University of the West Indies at Mona.
 Spring '11
 DR.MCDONALD

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