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04+Maths+C+Sem+1+Lecture+Sample+Exam+Solutions

04+Maths+C+Sem+1+Lecture+Sample+Exam+Solutions - LECTURE...

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LECTURE SAMPLE (SOLUTIONS) Mathematics C Semester 1 Examination Time Allowed: 1.5 hours Reading Time: 5 minutes
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UNSW Foundation Studies UNSW Global Pty Limited UNSW Sydney NSW 2052 Copyright © 2009 All rights reserved. Except under the conditions described in the Copyright Act 1968 of Australia and subsequent amendments, this publication may not be reproduced, in part or whole, without the permission of the copyright owner.
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Solutions to Semester 1 Lecture Sample for Mathematics C 1. (i) 6 10 7 . 8 × (ii) 2 7 5 7 2 3 4 4 16 4 8 2 x x x x x x = = × (iii) 245 5 7 5 4 5 3 80 45 = = + = + (iv) 4 or 14 4 or 14 5 9 or 5 9 5 9 < > > < > < > x x x x x x x (v) (a) } 9 , 8 , 7 , 6 , 5 , 4 , 3 , 2 , 1 { = U } 8 , 4 , 2 , 1 { = T } 9 , 7 , 6 , 5 , 3 { = T (b) 6 ) ( } 9 , 7 , 6 , 5 , 3 , 1 { = = T S n T S (vi) 3 0 2 1 0 2 ) 1 ( ) 1 ( 0 ) 1 ( 3 4 = = + = + + = k k k P (vii) 24 ) 3 ( 4 lim ) 3 ( ) 3 )( 3 ( 4 lim 3 36 4 lim 3 3 2 3 = = + + = + x x x x x x x x x
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1. (viii) 68 . 0 5 log 3 log 3 log 5 log 3 5 = = = = x x x x 2. (i) (a) yx =+ 3 1 (b) x y 1 1 = (c) ) 1 ln( + = x y y x -1 y x 1 1
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2. (ii) } 1 4 3 : { is Solution 0 ) 1 )( 3 4 ( 2 0 ) 3 4 ( 2 0 6 2
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