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11.11: A.11.3- Section 11.3 Answers

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1. C(x)=L23+4L2π2n=1(1)nn2cosnπxL

2. C(x)=12+4π2n=11(2n1)2cos(2n1)πx

3. C(x)=2L23+4L2π2n=11n2cosnπxL

4. C(x)=1coskπkπ2kπn=1[1(1)ncoskπn2k2cosnx

5. C(x)=122πn=1(1)n2n1cos(2n1)πxL

6. C(x)=2L23+4L2π2n=1(1)nn2cosnπxL

7. C(x)=13+4π2n=11n2cosnπx

8. C(x)=eπ1π+2πn=1[(1)neπ1](n2+1)cosnx

9. C(x)=L26L2π2n=11n2cos2nπxL

10. C(x)=2L23+4L2π2n=11n2cosnπxL

11. S(x)=4πn=11(2n1)sin(2n1)πxL

12. S(x)=2πn=11nsinnπx

13. S(x)=2πn=1[1(1)ncoskπ]nn2k2sinnx

14. S(x)=2πn=11n[1cosnπ2]sinnπxL

15. S(x)=4Lπ2n=1(1)n+1(2n1)2sin(2n1)πxL

16. S(x)=π2sinx16πn=1n(4n21)2sin2nx

17. S(x)=2πn=1n[(1)neπ1](n2+1)sinnx

18. CM(x)=4πn=1(1)n2n1cos(2n1)πx2L

19. CM(x)=4L2πn=1(1)n2n1[18(2n1)2π2]cos(2n1)πx2L

20. CM(x)=4πn=1[(1)n+2(2n1)π]cos(2n1)πx2

21. CM(x)=4πn=112n1cos(2n+1)π4cos(2n1)πx2L

22. CM(x)=4πn=1(1)n2n1(2n3)(2n+1)cos(2n1)x2

23. CM(x)=8πn=11(2n3)(2n+1)cos(2n1)x2

24. CM(x)=8L2π2n=11(2n1)2[1+4(1)n(2n1)π]cos(2n1)πx2L

25. SM(x)=4πn=11(2n1)sin(2n1)πx2L

26. SM(x)=16L2π2n=11(2n1)2[(1)n+2(2n1)π]sin(2n1)πx2L

27. SM(x)=4πn=112n1[1cos(2n1)π4]sin(2n1)πx2L

28. SM(x)=4πn=12n1(2n3)(2n+1)sin(2n1)x2

29. SM(x)=8πn=1(1)n(2n3)(2n+1)sin(2n1)x2

30. SM(x)=8L2π2n=11(2n1)2[(1)n+4(2n1)π]sin(2n1)πx2L

31. C(x)=7L45144L4π4n=1(1)nn4cosnπxL

32. C(x)=2L4548L4π4n=11+(1)n2n4cosnπxL

33. C(x)=3L4548L4π4n=12+(1)nn4cosnπxL

34. C(x)=L4303L4π4n=11n4cos2nπxL

36. S(x)=8L2π3n=11(2n1)3sin(2n1)πxL

37. S(x)=4L3π3n=1(1+(1)n2)n3sinnπxL

38. S(x)=12L3π3n=1(1)nn3sinnπxL

39. S(x)=96L4π5n=11(2n1)5sin(2n1)πxL

40. S(x)=720L5π5n=1(1)nn5sinnπxL

41. S(x)=240L5π5n=11+(1)n2n5sinnπxL

43. CM(x)=64L3π3n=11(2n1)3[(1)n+3(2n1)π]cos(2n1)πx2L

44. CM(x)=32L2π3n=1(1)n(2n1)3cos(2n1)πx2L

45. CM(x)=96L3π3n=11(2n1)3[(1)n+2(2n1)π]cos(2n1)πx2L

46. CM(x)=96L3π3n=11(2n1)3[(1)n3+4(2n1)π]cos(2n1)πx2L

47. CM(x)=96L3π3n=11(2n1)3[(1)n5+8(2n1)π]cos(2n1)πx2L

48. CM(x)=384L4π4n=11(2n1)4[1+(1)n4(2n1)π]cos(2n1)πx2L

49. CM(x)=768L4π4n=11(2n1)4[1+(1)n2(2n1)π]cos(2n1)πx2L

51. SM(x)=32L2π3n=11(2n1)3sin(2n1)πx2L

52. SM(x)=96L3π3n=11(2n1)3[1+(1)n4(2n1)π]sin(2n1)πx2L

53. SM(x)=96L3π3n=11(2n1)3[1+(1)n2(2n1)π]sin(2n1)πx2L

54. SM(x)=192L3π4n=1(1)n(2n1)4sin(2n1)πx2L

55. SM(x)=1536L4π4n=11(2n1)4[(1)n+3(2n1)π]sin(2n1)πx2L

56. SM(x)=384L4π4n=11(2n1)4[(1)n+4(2n1)π]sin(2n1)πx2L


This page titled 11.11: A.11.3- Section 11.3 Answers is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by William F. Trench.

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