M17 LE1 Sem1 09-10

# M17 LE1 Sem1 09-10 - 4 pts V. Factor the following...

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Mathematics 17 First Semester AY 2009-2010 First Long Exam 4 July 2009 General Instructions. Use only blue or black ballpen. Show all necessary solutions and box all ﬁnal answers. I. Write TRUE if the statement is true. Otherwise, write FALSE. No explanations needed. 2 pts each 1. The statement “ a [( x + y ) + z ] = [( x + y ) + z ] a ” is true by the associativity of multiplication. 2. If K = Z ( Q \ N ), then {- 1 , 0 } ⊆ K . 3. A complex number of the form a + bi , where a and b are real numbers, has always a multiplicative inverse equal to a - bi a 2 + b 2 . 4. If A B = A and B C = C , then A B C . 5. If p,q ± Q ’ and p 6 = q , then p q ± Q ’. II. Find the exact value of the following. 3 pts each 1. ( - 2 i 2009 - i 2011 ) - 1 , 000 , 001 2. n ( (( A B ) 0 )), if A and B are subsets of the universal set U such that n ( U ) = 25, n ( A ) = 22, n ( B ) = 21, and n ( A B ) = 23. III. Expand (2 x 2 - 4 8) 4 . 3 pts IV. Divide ( 1 2 x 4 - 6 x 3 + 15 x + 1) by (8 - 2 x 2 ) using long division.
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Unformatted text preview: 4 pts V. Factor the following completely. 4 pts each 1.-27 x 7 y 3 + 93 x 5 y 5-75 x 3 y 7 2. ( p 6-1) + (3 p 5-3 p 2 ) + (3 p 4-3 p ) VI. Simplify the following. 5 pts each 1. a + a a-1 ab a 3 b-a + a 2 b a 3 b 2-1 a 4. If √-50 4 √ 2-r-49 2 ! (3 i-2)(2 i + 1)-(7-6 i ) = a + bi , ﬁnd a and b . 2. ±-6 m 9 m 2-1-2 m-3 m-3 m 2 ² · 27 m 3-1 14 m 2-15 m-9 ÷-18 m 3-6 m 2-2 m 16 m-24 3. 6 √ 24 q p 7 + √ 13 · p 7-√ 13 3 √ 3 + 3 √-9 *END OF EXAM* Total: 50 points “Who among you is wise and understanding? Let him show by his good life that his works are done in humility born of wisdom.” James 3:13 [ISV] /ajdporlante 06.29.09/ 1...
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## This note was uploaded on 08/05/2011 for the course MATH 17 taught by Professor Aaronjamesporlante during the Spring '11 term at University of the Philippines Diliman.

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