Spring2009 - MATH 1241 COMMON FINAL EXAM SPRING 2009 PART I...

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Unformatted text preview: MATH 1241 COMMON FINAL EXAM SPRING 2009 PART I (Calculators Not Allowed) 1. Let f ( x ) = x 2- 2 x- 1 and let g ( x ) = x 2 + 1 . Then f ( g ( x )) is (a) 2 x 2- 2 x (b) x 4- 2 (c) x 2 + 2 x- 2 (d) x 4- 4 x 3 + 2 x 2 + 4 x + 1 (e) x 4- 2 x 3- 2 x- 1 2. The figure to the right is the graph of y = f ( x ) . Which of the graphs below labeled (a), (b), (c), (d), and (e) best represents the graph of the function y = 2- f ( x + 1) ?-2-1 1 2-2 2 x y y = f ( x )-4-3-2-1 1 2-2 2 x y-4-3-2-1 1 2 2 4 x y (a) (b)-3-2-1 1 2 2 4 x y-4-3-2-1 1 2-2 2 4 x y (c) (d)-2-1 1 2 3 4 2 4 x y (e) 1 MATH 1241 COMMON FINAL EXAM SPRING 2009 3. If ln( a ) = 2 , ln( b ) = 3 , and ln( c ) = 4 , then ln r b 2 c 5 a 3 is euqal to (a) 48 (b) ln r 243 16 (c) 31 2 (d) 1 2 ln 1152 (e) 10 4. Let f ( x ) = 1 x 2- x + 1 . Then f has a local maximum at x equals (a) 2 (b) 1 (c) 1 2 (d) (e)- 1 5. Given the function f ( x ) = 2 x 2- 3 x , calculate f ( a + h )- f ( a ) h (a) 4 a- 3 + h (b) 4 a- 3- h (c) 4 a- 3- 3 h (d) 4 a- 3- 2 h (e) 4 a- 3 + 2 h 6. Evaluate the limit lim x - 2 x 2 + 8 x + 12 x + 2 (a) Does not exist (b) 8 (c) 4 (d) 2 (e) 1 2 MATH 1241 COMMON FINAL EXAM SPRING 2009 7. Determine the following limit lim x + p x 2 + 8 x- 100- x (a) Does not exist (b) 100 (c) 8 (d) 4 (e) 1 8. Given equation of parabola y = 2 x 2- 6 x + 4 . Then the equation of the tangent line to the parabola at x = 2 is (a) y = 4 x- 6 (b) y = 4 x- 8 (c) y = 4 x- 12 (d) y = 2 x- 2 (e) y = 2 x- 4 9. From the table below calculate the value of d dx f ( x ) g ( x ) at x = 2 x 1 2 3 6 9 f ( x ) 1 4 2 7 6 g ( x ) 6 2 1 4 9 f ( x ) 4 6 8 5 3 g ( x ) 5 3 2 1 7 (a) (b) 1 (c) 2 (d) 3 (e) 4 3 MATH 1241...
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This note was uploaded on 02/16/2012 for the course MATH 1241 taught by Professor Xiu during the Spring '08 term at UNC Charlotte.

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Spring2009 - MATH 1241 COMMON FINAL EXAM SPRING 2009 PART I...

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