{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

fall2008 - MATH 1241 FINAL EXAM PART I(Calculators not...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 1241 FINAL EXAM FALL, 2008 PART I (Calculators not allowed) 1. If g ( x ) = x 2 + e x , then g 0 ( x ) = (a) x 2 + e x (b) 2 x + e x (c) x 2 + xe x - 1 (d) 2 x + xe x - 1 (e) 2 + e x 2. d dx ( x sin x ) = (a) sin x (b) cos x (c) - cos x (d) sin x - x cos x (e) sin x + x cos x 3. If f ( t ) = ln t t , then f 0 (2) = (a) ln 2 2 (b) 1 - ln 2 4 (c) 1 + ln 2 4 (d) 1 2 (e) 1 4 1
Background image of page 1

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

View Full Document Right Arrow Icon
4. If f ( x ) = (3 x 2 + 1) 4 , then f 0 ( x ) = (a) (3 x 2 + 1) 4 (b) 24 x (3 x 2 + 1) 3 (c) 4(3 x 2 + 1) 3 (d) 4(6 x ) 3 (e) 4(6 x + 1) 3 5. Which of the following is correct? (a) d dx (ln(3 x 2 + 4)) = ln(3 x 2 + 4) (b) d dx (ln(3 x 2 + 4)) = 1 3 x 2 + 4 (c) d dx (ln(3 x 2 + 4)) = 1 6 x (d) d dx (ln(3 x 2 + 4)) = ln 6 x (e) d dx (ln(3 x 2 + 4)) = 6 x 3 x 2 + 4 6. Let h ( s ) = sin 2 (2 s ). Then h 0 ( s ) = (a) 4 sin(2 s ) cos(2 s ) (b) 2 sin(2 s ) cos(2 s ) (c) cos 2 (2 s ) (d) 2 cos 2 (2 s ) (e) 2 cos( s ) + 2 2
Background image of page 2
7. Let f ( x ) = x 3 - 3 x 2 + 7. Which of the following statements is true? (a) f is increasing on ( -∞ , ) (b) f is decreasing on ( -∞ , ) (c) f is increasing on (0 , ) (d) f is decreasing on (0 , 2) (e) f is increasing on (0 , 2) 8. Consider the graph of the function f : Which of the following is correct? (a) lim x 1 f ( x ) = 4 (b) lim x 1 f ( x ) = 3 (c) lim x 1 f ( x ) = 2 (d) lim x 1 f ( x ) = 1 (e) lim x 1 f ( x ) does not exist 9. lim x →∞ x 2 + 1 xe x + 1 = (a) (b) 1 (c) - 1 (d) 0 . 01 (e) 0 3
Background image of page 3

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

View Full Document Right Arrow Icon
10. Let g ( x ) = 3 x 2 + 1. Which of the following is the equation of the tangent line to the graph of g at x = 1? (a) y - 6 = 4( x - 1) (b) y = 4( x - 1) (c) y = 6( x - 1) (d) y - 4 = 6( x - 1) (e) y - 6 = 6( x - 1) 11. lim x 0 2 x 2 - x 10 x + 1 = (a) - 1 / 10 (b) 0 (c) (d) 1 / 5 (e) -∞ 12. Let f ( x ) = 1 x 2 + x + 3 . Then f has a local maximum at x = (a) 0 (b) 1 / 2 (c) 1 (d) - 1 / 2 (e) - 1 4
Background image of page 4
13. Let f ( x ) = 6
Background image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 18

fall2008 - MATH 1241 FINAL EXAM PART I(Calculators not...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon bookmark
Ask a homework question - tutors are online