03+Maths+C+Sem+1+Tutorial+Sample+Exam+Solutions

# 03+Maths+C+Sem+1+Tutorial+Sample+Exam+Solutions - TUTORIAL...

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TUTORIAL SAMPLE (SOLUTIONS) Mathematics C Semester 1 Examination Time Allowed: 1.5 hours Reading Time: 5 minutes

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Solutions to Semester 1 Tutorial Sample for Mathematics C 1. (i) (a) 5 (b) 3 (ii) () 4 8 8 2 3 3 2 = = (iii) (a) 13 12 25 ) ( ) ( ) ( = = = A n U n A n (b) 2 ) ( ) ( 22 20 ) ( 10 12 5 25 ) ( ) ( ) ( ) ( = = + = + = B A n B A n B A n B A n B n A n B A n (iv) 23 21 xx −+ (v) 2 ) 1 ( 2 ) 1 ( ' 2 ) ( ' 2 2 ) ( 2 2 1 = = = = = f x x f x x x f (vi) 2 3 2 1 2 4 log 2 1 2 log 2 4 log 2 log 2 log 4 log 4 2 2 1 4 2 2 4 2 = = = = (vii) 92 0 29 4 1 2 −≥ x x x

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1. (viii) (a) 2 2 ) 2 )( 2 ( 2 4 2 + = + = x x x x x x (b) y x (2,4) 2. (i) A.P. 60 , 7 , 3 = = = n d a 416 7 ) 1 60 ( 3 = × + = n T (ii) () [ ] [ ] [] d dx xx x d dx xx x d dx x x ( / / += + =+ 32 12 3 2 1 3 2 1 (iii) y x x
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## This note was uploaded on 04/07/2012 for the course COMMERCE 101 taught by Professor Louis during the Three '07 term at University of New South Wales.

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03+Maths+C+Sem+1+Tutorial+Sample+Exam+Solutions - TUTORIAL...

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