{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Spring2009

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

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}

### Page1 / 17

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online