By Margaret L. Lial ,Raymond N. Greenwell ,Nathan P. Ritchey
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Extra resources for Instructor's Solutions Manual to Calculus with Applications
Example text
9y 6y 19. 4a 2a 3 2 20. 2 5 3k 4c 3 3 c 5 9 5c 3 4 5(a b) a 3 3 16 2 16 a 3 2 1 2 32 2k 16 3 6 3 4k 8) 32 3 4(k 8) 1 4 4 (3 y (3 y 3 a b) 6 4 4 4 3(a 2(k 2) 3) 3)( z 2)( z 3 a 4)(m 2)(m 2) 4(m 2)(m 2) m2 6 y 2 11 y 3y2 7 y 4c 12 5(a b) a 2) 3) 2)( x 2)( x (z (z 4 3b 2 2)(m 2)(m 2 3 3( x (x 4 2 x 16. (m (m m m 6 5z z 2) 2 36 y( y 2) 9y 9 4 y( y 2) 9 y 4( y 2) 9y 3a 2 4x 2 15. 2 4 x2 ( x 72 y m2 8 9 t 2 36 y 2 m 2) 2) 1) 1) 12 10 4(a 2(a 2(a a 6r 9r 2 2y 1 y 1 3k 5 21. 18 3 y 12 15 y k2 k 2 6 30 a2 9( y 6( y 27 90 2) 3( y 2) 2) 15( y 2) 3 3 3 10 3 10 9 2 a a 20 3) (a 5)(a 5) (a 3)(a 4) 3 4) 3) 18 12r 6r 24 4r 6(r 3) 16 12 4(3r 2 3(3r 2r 8) 4(r 6(r 3) 4(3r 3(3r 4)(r 2) 4(r 6 2 3(r 2) 2 r 4k 12 10k 24 (k 6)(k (k 6)(k k 2 k 3 k2 k k 2) 4) 2 (k (k 25 p 2 9 Copyright © 2012 Pearson Education, Inc.
1 4 22. x3 7. y 7 xe3 x (2 23. 1 8 8. y x 24. 56 9 9. 14 25. 1 (e 4 2 10. y 26. 54 27. e x (x2 2x 2) 28. 60 29. 39 30. 120 11. 12. 8x 3x) 1 x ln (3x ) x( x 1) 2 7 x2 2 2x ln | x + 9 | C C 1) 9 12 125 Increasing on ( , 2) and (6, C ); decreasing on (2, 6) 13. Relative maximum of 1 at of 13 at 4 2; relative minimum 14. (a) ( , 0) and (2, ) (b) (0, 2) (c) (0, 5) and (2, 21) 3e 4 Copyright © 2012 Pearson Education, Inc. Publishing as Addison-Wesley. ANSWERS TO FINAL EXAMINATIONS 31. xliii Converges; 1 4 32.
12. 2 13. 14. 9k 25 1) 2) 2) 2) 4)(2 y 4)( y 3 3 5k 5 5 3k 15 p 3 6p 9 p2 10 p 2 16 2k 2 3k 5k 15 p 3 10 p 2 6p 9 p2 150 p 5 54 p 3 25 6 p 5 9 6 p3 16 3 a 32 32 16 4k 6 3( x x z z 1) 2 18. 9y 6y 19. 4a 2a 3 2 20. 2 5 3k 4c 3 3 c 5 9 5c 3 4 5(a b) a 3 3 16 2 16 a 3 2 1 2 32 2k 16 3 6 3 4k 8) 32 3 4(k 8) 1 4 4 (3 y (3 y 3 a b) 6 4 4 4 3(a 2(k 2) 3) 3)( z 2)( z 3 a 4)(m 2)(m 2) 4(m 2)(m 2) m2 6 y 2 11 y 3y2 7 y 4c 12 5(a b) a 2) 3) 2)( x 2)( x (z (z 4 3b 2 2)(m 2)(m 2 3 3( x (x 4 2 x 16. (m (m m m 6 5z z 2) 2 36 y( y 2) 9y 9 4 y( y 2) 9 y 4( y 2) 9y 3a 2 4x 2 15.