MAT286-2007Spring

# MAT286-2007Spring - M AT 2 86 M ay 7 2 007 F inal E xam S...

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MAT 286 May 7, 2007 Final Exam Show your work. No work-no credit! Name _ SU ID # _ Please circle your instructor's NAME. Wu- Teh Hsiang Francis N zuki Antonio Olimpio Lisa Smith I Problem number I Possible points I Score 1 20 2 20 3 10 4 20 5 6 20 Total 100 1

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[5 points for each problem.] 1. Find the following integrals. (a) J (4x 3 + 6x - 5) dx (b) J 4e- 3x dx 3

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x (c) J -x---=-2-+-5- dx (d) J xsinx dx 4
2. For (a) and (b), find the values of the definite integrals. For (c) (d), each the improper integrals, determine if it converges or diverges, and find value that converges. [5 points for each problem.] r 2 (a) I, (x 3)dx 2" (b) /,,3 COSX dx 6 5

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X X 2 + 5 dx 00 1 2x dx (d) (x2+1)2 -00 6
3. Find the average value of each function on given interval. (a) f(x) = VX+T; [3,8]. [5 points] (b) = x 2 - 5; [0,3]. 7

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4. The average length and width of the eggs Canadian geese are 10.0 em 8.0 em, respectively. Assuming that are the shape an ellipsoid. Find the average volume Canadian geese, by method of solid of revolution.

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MAT286-2007Spring - M AT 2 86 M ay 7 2 007 F inal E xam S...

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