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fall 05 - F0510501 MAT 1050 GROUP FINAL EXAM FALL 2005 SHOW...

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F0510501 1 MAT 1050 GROUP FINAL EXAM – FALL 2005 SHOW ALL WORK. DO NOT USE A CALCULATOR. 1. (7 pts.) Simplify by adding (or subtracting) like terms wherever possible: 2 3 1 15 3 2 4 1 5 3 3 5 3 2 3 2 3 2 3 2 + + + x x 2. (7 pts.) Simplify completely: ( ) z y z x y x 7 4 6 2 1 2 32 2 3. (7 pts.) Simplify completely: ( ) ( ) 27 6 5 5 10 6 + + 4. (7 pts.) Simplify completely: 2 2 3 2 1 2 3 4 9 4 + 5. (6 pts.) Solve: 5 2 1 3 2 + x 6. (6 pts.) Solve: 5 3 + = x x 7. (7 pts.) Three consecutive integers are such that the square of the first is 29 less than the product of the other two. What are the three consecutive integers? 8. (7 pts.) Solve for xz y x z xy y = 1 : 9. (6 pts.) Let f be the function given by 3 5 2 1 ) ( 2 + + = x x x x f . What is the domain of f ? 10. (6 pts.) Let g be the function given by ( ) 1 2 2 + = x x g . Find and simplify ( ) ( ) [ ] 2 2 0 + g g .
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