Math 1042 - Final Review - Answer Key

Math 1042 - Final Review - Answer Key - Math 1042 Section...

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Math 1042 Answer Key to Review Problems for Final Exam Spring 2009 Section 5.2 14. 0 3 g t dt = 3 2 and 3 5 g t dt = 0 Section 5.4 20. sin x 2 28. G' x = 2 x x 6 3 and G' 1 = 4 Section 5.6 Section 6.1 16. Area = 5 2 Section 6.3 20. I. Area = 1 e ln x dx = x ln x x | 1 e = 1 . To find the volume, first note that x = e y where 0 y 1 . Then Volume = 0 1 π e 2 e 2 y dy = π 2 e 2 1 .
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II. Area = 0 1 sin 1 x dx = x sin 1 x   1 x 2 | 0 1 = π 2 1 . To find the volume, first note that x = sin y where 0 y π 2 . Then Volume = 0 π / 2 π 1 sin 2 y dy = π 2 4 . Section 7.2 22. 48. 1 4 50. π 4 ln 2 2 Section 7.3 10. 32. 33. Section 7.4 6. 2 π 3 3 24 8. 1 4 
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Math 1042 - Final Review - Answer Key - Math 1042 Section...

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