FHMM1014_APRIL2010 (2) - UNIVERSITI TUNKU ABDUL RAHMAN...

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UNIVERSITI TUNKU ABDUL RAHMAN ACADEMIC YEAR 2009/2010 APRIL EXAMINATION FHMM1014 MATHEMATICS I WEDNESDAY , 28 APRIL 2010 TIME : 2.00 PM – 4.00 PM (2 HOURS) FOUNDATION IN SCIENCE Q1. (a) 2 1 z z i 3 2 6 1 2 | | 4 3 z z 1 2 5 arg( ) 6 z z   (b) (i) 7925 . 0 2 log 2 3 log x (ii) 1 3 4 7 or 7 x x 7 or 0747 . 0 x x (c) Given 0 b a and 0 c a c a b a 0 c a b a 0 ) ( c b a a is orthogonal to c b Q2. (a) -1 kmh ) 25 35 ( j i V A , -1 kmh ) 11 7 ( j i V B B A B A V V V ) 11 7 ( ) 25 35 ( j i j i 1 kmh ) 14 28 ( j i km 5 14 980 14 28 2 2 B A V h -1 2 14 28 tan 0 1 43 . 63 2 tan Therefore the velocity of car A relative to car B is km 5 14 h -1 in the direction of E N 0 43 . 63 .
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2 FHMM1014 MATHEMATICS I (b) (i) The sequence is convergent. The limit is . (ii) The sum to infinity, r a S 1 1 2 1 x x For the infinite sum to be valid, 1 ) 1 ( 2 1 x r 2 1 2 3
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  • Fall '13
  • Sin, Tunku Abdul Rahman, UNIVERSITI TUNKU ABDUL RAHMAN

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