ARC 2001T - C Student Number: . 2001 HIGHER SCHOOL...

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Student Number: ……………………………. . 2001 HIGHER SCHOOL CERTIFICATE Sample Examination Paper MATHEMATICS Extension 1 General Instructions Reading time - 5 minutes Working time - 2 hours 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 2001. 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 the new Higher School Certificate syllabus. Candidates are advised that authors of this examination paper cannot in any way guarantee that the 2001 HSC Examination will have a similar content or format. C
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Mathematics Extension 1, HSC - 2001 2 Question One (a) If x y 2 sin 1 - = , find (i) dx dy 2 (ii) 2 2 dx y d 1 (b) Use the definition h x f h x f x f h ) ( ) ( lim ) ( ' 0 - + = to find the derivative of x x + 3 2 2 (c) Solve the equation π θ 2 0 for 0 cos 4 1 2 sin 2 = - + 3 (d) How many arrangements of the letters of the word SUBSTITUTE are possible?
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ARC 2001T - C Student Number: . 2001 HIGHER SCHOOL...

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