MAT295-2006Spring - F inal E xam for M AT 2 95, S pring 2...

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Final Exam for MAT 295, Spring 2006 There are 8 problems on 11 pages in this exam worth a total value of 200 points. To receive full or partial credit the correct work leading to the correct answer must be written down. Unsupported answer will receive little or no credit. Graphics calculators may be used in this examination. However, calculators capable of symbolic computations, such as TI-89 or TI-92 may NOT be used. I Your Name Instructor's Name I '------------------ Your Signature:1 '---------------------- I Problem I Score 1 2 3 4 5 6 7 8 Total
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(1) (11 points each) Compute the following limits. 3e x - x 2 - 2x - 3 (a) lim 3 x->O X (b) lim (x 2 + x)x x-->O+ 2
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J4x 4 + X 2 - 10 (C) ;~~ -5x- 2-+-4-x---g- (2) (10 points each) Find the derivatives of the following functions: x- 8e2x (a) f(x) = , x (b) f(x) = -1 ' nx 3
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f(x) = tan(3x - 8) + sin(x 3 - 4x), (d) f (x) = (1 + x) 2x , l X 3 + X (e) f(x) = 0 e- t 2 dt. 4
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This note was uploaded on 06/17/2011 for the course MATH 295 taught by Professor Na during the Spring '11 term at University of North Carolina School of the Arts.

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MAT295-2006Spring - F inal E xam for M AT 2 95, S pring 2...

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