2005 Spring - 125FinalSpring05 math125

2005 Spring - 125FinalSpring05 math125 - MATH 125 FINAL...

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MATH 125 FINAL EXAM May 5th, 2005 Last Name: First Name: SSN: Signature: Circle your instructor’s name: Dragnev Geisser Kim Montgomery INSTRUCTIONS Answer all questions. You must show your work to obtain full credit. Points may be deducted if you do not justify your Fnal 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 24 2 24 3 28 4 29 5 20 6 20 7 20 8 15 9 20 Total 200 1
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2 1. (6 points each) Calculate the following limits. a) lim x →− 3 x 2 9 x 2 + 2 x 3 . b) lim x 0 1 1 x 2 x 2 . c) lim x 8 - | x 8 | x 8 . d) lim x 2 + e 1 2 - x .
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3 2. (6 points each) Find dy dx . a) y = x 2 sin 2 x . b) y = ( x 1)( x 4) ( x 2)( x 3) (You may use logarithmic diferentiation). c) xe y + ye x = 3. d) y = i x 3 cos t t dt .
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4 3. (7 points each) Evaluate the following integrals: (a) i ( 3 x x 3 + 1
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2005 Spring - 125FinalSpring05 math125 - MATH 125 FINAL...

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