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FinalF2010

# FinalF2010 - Math 110 Dec 1317 2010 Final Exam All Sections...

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Math 110 Final Exam All Sections including SL Center Dec 13–17, 2010 Do not write on this exam. 1. What is the domain of the function defined by the equation y = ( x + 1) 2 x 3 - 2 x 2 + x ? (a) ( -∞ , - 1) ( - 1 , 0) (0 , 1) (1 , ) (b) ( -∞ , 0) (0 , 1) (1 , ) (c) ( -∞ , - 1) ( - 1 , 0) (0 , ) (d) ( -∞ , 0) (0 , ) (e) ( -∞ , ) 2. If b and c are real numbers so that the polynomial x 2 + bx + c has 2 - 3 i as a zero, find b + c . 3. Let R ( x ) = 3 x 3 + x 2 + 3 x + 3 x 2 + 2 x + 2 . Find all asymptotes for R ( x ). (a) y = 3 x (b) y = 3 x - 1 (c) y = 3 x - 2 (d) y = 3 x - 3 (e) y = 3 x - 4 (f) y = 3 x - 5 4. Solve the inequality: x - 2 x 2 + x 0 5. Solve the inequality: x + 1 2 x + 1 1. 6. Find k so that ( x + 2) is a factor of x 100 + 8 x 97 - 3 x 2 - 5 x + k . (a) - 3 (b) - 2 (c) - 1 (d) 1 (e) 2 (f) 3

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