MATH 101 Exam 2, Fall 2003

American University of Beirut · Calculus and Analytical Geometry I · 3 pages

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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