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MA232Even-v4 - Answers to Even-Numbered Homework Problems...

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Answers to Even-Numbered Homework Problems Lesson 1 Section 5.4 26. 5 28. 608 15 Lesson 2 Section 5.5 8. 1 5 e x 5 + C 10. - 1 2 e - t 2 + C 20. - ln | 1 - x | + C 24. 1 3 sin x 3 + C 40. 1 24(2 - x 4 ) 6 + C Lesson 3 Section 5.5 48. - 1 3 cos 3 x + C 56. 6561 16 64. - e - kb + 1, or 1 - 1 e kb 70. - 21 512 74. (a) 4 , 000 , 000 ( e 2 . 475 - 1 ) 43 , 526 , 828 (b) 4 , 000 , 000 ( e 2 . 475 - e 2 ) 17 , 970 , 604 Lesson 4 Section 5.6 2. xe 2 x - 1 2 e 2 x + C 4. x sin x + cos x + C 10. x 4 ln x 4 - x 4 16 + C 16. x 2 2 + x ln x - x 2 4 - x + C Lesson 5 Section 5.6 34. 6 ln 6 - 5 38. 10 π 3 - 5 3 2 40. 251869 42. (a) - e - kT T k + 1 k 2 + 1 k 2 (b) - 75 e - 2 + 25 14 . 850 mg 56. left to the student Lesson 6 Section 5.7 52. 30 . 025 Lesson 7 Section 5.8 Calculus for the Life Sciences (Bittinger, Brand & Quintanilla) MA 23200 (Spring 2010)
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Answers to Even-Numbered Homework Problems 2. 2 π 10. π ln 4 Lesson 8 Section 5.8 26. 3 4 32. 100 Lesson 9 Section 5.9 8. divergent 28. 2 e 34. A k 36. The area is infinite. Lesson 12 Section 7.1 4. 28 , 5 , 12 14. a)105, b)95 Lesson 13 Section 7.2 2. 3( x - y ) 2 , - 3( x - y ) 2 , 3, - 75 6. 5, 7, 5, 7 12. f x = 2 ye 2 xy , f y = 2 xe 2 xy 16. f x = 5 x 4 - 8 xy 2 +5 y 3 , f y = - 8 x 2 y +15 xy 2 - 2 Lesson 14 Section 7.2 40. f xx = 4 e 2 x - y , f xy = - 2 e 2 x - y , f
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