MATH 140 Final: MATH140 ALL-SECTIONS FALL2002 0000 FINAL EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 140
• Professor: All

Document Summary

Instructions: answer each of the 10 numbered problems on a separate answer sheet. Each answer sheet must have your name, your ta"s name, and the problem number (=page number). Show all your work for each problem clearly on the answer sheet for that problem. You must show enough written work to justify your answers. No calculators: (8 points each) in each of the following, determine whether the limit exists as a real number, as or , or fails to exist. If the limit exists, evaluate it: lim x 0, lim x , lim y 1 p1 y2 y 1 sin 5x. 2x: (8 points each) compute the following derivatives (you do not need to simplify your answers): a) d dx(cid:16)xe(x2)(cid:17) b) d dt z t2. 4t x ln(1 + x) dx! c) d dt (ln(tan t + sec t): (20 points) an isosceles triangle has base 6 and height 10.