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Unformatted text preview: Student Number: ..................................................... 1998 TRIAL EXAMINATION MATHEMATICS 3 Unit (Additional) and 3/4 Unit (Common) Time Allowed - Two (2) hours (plus 5 minutes reading time) Directions to Candidates • Attempt ALL questions • Show all necessary working, marks may be deducted for careless or untidy work • Standard integrals are printed on the last page • Board-approved calculators may be used • Additional Answer Booklets are available Directions to School or College To ensure maximum confidentiality and security, examination papers must NOT be removed from the examination room. Examination papers may not be returned to students or used for revision purposes till September 1998. These examination papers are supplied Copyright Free, as such the purchaser may photocopy and/or cut and paste same for educational purposes within the confines of the school or college. All care has been taken to ensure that this examination paper is error free and that it follows the style, format and material content of previous Higher School Certificate Examination. Candidates are advised that authors of this examination paper cannot in any way guarantee that the 1998 HSC Examination will have a similar content or format. Mathematics 3 Unit, 1998 2 Question 1. Use a new Answer Booklet Mark (a) Differentiate ln(cot 3 x ) 2 (b) Show that the equation 2x 3- 5x 2 + 3x - 2 = 0 2 has only one real root. (c) Show that the parabolas y = -x 2 and y = x 2 + 11x + 15 2 intersect at x = -3 and x = -5/2 Hence find the size of the acute angle between the curves at x = -3 (d) (i) Show that sin cos tan 2 1 2 x x x + = and hence express 3 tan 15...
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This note was uploaded on 11/01/2011 for the course ECON 101 taught by Professor Adam during the Two '11 term at University of Technology, Sydney.
- Two '11