Homework 5 - 6 1 9 39 1 1 6 4 9 8 40 1 9 8 7 7 8 41 1 9 7 6...

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Imran Mandani Homework 5 1. = + . x 2sinx 0 02 is the formulation to choose. If the other one were chosen, then the solution diverges. Also the second one has no sign changes and two variables of the same degree. This would cause problems. 2. = +. =. x 2sin0 02 02 3. = . +. =. x 2sin 02 02 059 4. = . +. =. x 2sin 059 02 139 5. 6. Eventually, this converges to 1.9076 7. 8. 9. Function ss(xguess, x) 10. x = xguess 11. Do 12. x = 2 sin(xguess) + 0.02 13. abserr = Abs(x) 14. Loop While abserr > 0.00000001 15. xguess = x 16. End Function 17. 18. Excel results 19. 0 . 0 2 20. 1 . 8 9 8 3 5 21. 1 . 9 0 7 4 7 3 22. 1 . 9 0 7 6 1 7 23. 0 . 0 5 9 9 9 7 24. 1 . 9 1 3 6 6 5 25. 1 . 9 0 7 7 1 6 26. 1 . 9 0 7 6 2 1 27. 0 . 1 3 9 9 28. 1 . 9 0 3 5 29. 1 . 9 0 7 5 30. 1 . 9 0 7 6
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2 3 8 8 5 5 1 8 31. 0 . 2 9 8 9 3 3 32. 1 . 9 1 0 2 6 8 33. 1 . 9 0 7 6 6 1 34. 1 . 9 0 7 6 2 35. 0 . 6 0 9 0 0 2 36. 1 . 9 0 5 8 6 2 37. 1 . 9 0 7 5 9 1 38. 1 . 9 0 7
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Unformatted text preview: 6 1 9 39. 1 . 1 6 4 9 8 40. 1 . 9 8 7 7 8 41. 1 . 9 7 6 3 7 42. 1 . 9 7 6 1 9 43. 1 . 8 5 6 8 6 4 44. 1 . 9 6 8 5 2 45. 1 . 9 7 6 7 46. 1 . 9 7 6 1 9 47. 1 . 9 3 8 7 2 2 48. 1 . 9 8 1 2 6 49. 1 . 9 7 6 2 7 50. 1 . 9 7 6 1 9 51. 1 . 8 8 6 1 5 1 52. 1 . 9 7 2 8 4 53. 1 . 9 7 6 1 4 54. 1 . 9 7 6 1 9 55. 1 56. 1 57. 1 58. 1 . 9 2 1 3 7 3 . 9 7 8 4 . 9 7 6 2 3 . 9 7 6 1 9 59. 60. Newton-Raphson? Couldn’t figure it out. 61. Newton-Raphson? Couldn’t figure it out. 62. 63....
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Homework 5 - 6 1 9 39 1 1 6 4 9 8 40 1 9 8 7 7 8 41 1 9 7 6...

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