2002 Fall - Fall_2002 math125

2002 Fall - Fall_2002 math125 - MATH 125 FINAL EXAM...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 125 FINAL EXAM December 17, 2002 INSTRUCTIONS Answer all questions. You must show your work to obtain full credit. Points may be deducted if you do not justify your final answer. Please indicate clearly whenever you continue your work on the back of the page. Calculators are not allowed. The exam is worth a total of 200 points. 1 . [5 points each] Evaluate the limits, if they exist. (a) lim x 2 x 2 + 2 x - 8 x - 2 (b) lim x 2 - x 2 + 2 x - 5 x - 2 (c) lim x 0 sin x tan x 2 x 2 (d) lim x →∞ ( x 2 + x - x ) 2 . [6 points each] Find the derivatives of the following functions. (a) f ( x ) = e x +7 , x > 0. (b) f ( x ) = ln ( x (2 + sin x )), x > 0. (c) f ( x ) = Z x 2 2 cos u 2 du (d) f ( x ) = (1 + x 2 ) x .
Background image of page 1

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

View Full DocumentRight Arrow Icon
3 . [6 points each] Evaluate the following integrals, giving your answers in as simple a form as possible. (a) Z x 2 + 2 x x dx (b) Z ln18 0 xe x 2 dx (c) Z x 1 + x dx (d) Z π/ 2 0 cos x sin xdx 4 . [30 points] Sketch the graph of the function f ( x ) = x ( x + 3) 2
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

2002 Fall - Fall_2002 math125 - MATH 125 FINAL EXAM...

This preview shows document pages 1 - 3. Sign up to view the full document.

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