MATH 101 Exam 2, Fall 2003
American University of Beirut · Calculus and Analytical Geometry I · 3 pages
More MATH 101 files
Show the text of this exam
Math 101
Quiz 1
November 8, 2003
AUB ID #:
NAME.
Sections Ms. M. Jurdak: 8TTh, 3W. 8TTh, 1W. 8Tb, 4W.
STT, 12:30Th.
Sections Prof. A. Hanna: OMWFE, 2Th. 9MWF, 11Th. 9MWE, 3:30Th.
OMWF, 9:30Tb
Time: 1 Hour
INSTRUCTIONS.
B ID number above, and CIRCLE your section.
1. Write your NAME and AU
2. Solve the problems on the white sheets at the appropriate place. Use the blue
booklet for scratch work only.
3, You may use the back pages of the white sheet to solve or complete the
solution of a problem.
4. No calculators, books or notes allowed.
Problem 1 AO
Problem 2 /10
Prdbiem 3 10
Problem 4 /10
Total
1 1
te
1. Evaluate lim2225_ 5
x20 ax
2. Evaluate limsin
x0
f a+tanx \
axa deen)
Let f: (0, n/2) > R be given by f(x) = 2x — 3cos x. prove that there exists
point c in (0, 2/2) such that f(c) = 0.
4, Let f: R > Rbe given by fy) = v 4x? +3. Calculate f‘(x) from the first
principles