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2005 Fall - 125FinalFall05 math125

# 2005 Fall - 125FinalFall05 math125 - MATH 125 FINAL EXAM...

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MATH 125 FINAL EXAM Dec 14th, 2005 Last Name: First Name: SSN: Signature: Circle your instructor’s name: Geisser Kamieny Mancera Piterbarg Vorel Ziane 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. Problem Value Score 1 18 2 28 3 24 4 33 5 20 6 20 7 20 8 17 9 20 Total 200 1

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2 1. (6 points each) Calculate the following limits. a) lim x 4 x - 4 x - 2 . b) lim x 1 e x - e x - 1 . c) lim x 0 3 x + x 2 sin x .
3 2. (7 points each) Find dy dx . a) y = ln(2 x 2 - 3 x ). b) y = 2 x - 3 e x +1 . c) y = x sin x (Use logarithmic differentiation). d) y = integraldisplay tan x 0 t 2 + 4 dt for - π 2 x π 2 .

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4 3. (8 points each) Evaluate the following integrals: (a) integraldisplay 2 1 x 2 ( x - 2) 2 5 dx . (b) integraldisplay sin x x dx .
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2005 Fall - 125FinalFall05 math125 - MATH 125 FINAL EXAM...

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