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Nov 13th, 2019
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  1. %2) 6cos(x)=2x +1
  2. >> x=-2:0.01:2;
  3. >> f1=6*cos(x);
  4. >> f2=2*x+1;
  5. >> figure
  6. >> plot(x,f1,x,f2)
  7. >> grid
  8. >>
  9. >> x=-2:0.01:2;
  10. f1=6*cos(x);
  11. f2=2*x+1;
  12. figure
  13. plot(x,f1,x,f2)
  14. grid
  15. >>
  16. >>
  17. >> x=-5:0.01:4;
  18. f1=6*cos(x);
  19. f2=2*x+1;
  20. figure
  21. plot(x,f1,x,f2)
  22. grid
  23. >> %leikkauspisteet ovat noin -3.4 ja -2.15 ja 1.02
  24. >> %derivaatta
  25. >> syms x
  26. >> diff(6*cos(x)-2*x-1)
  27.  
  28. ans =
  29.  
  30. - 6*sin(x) - 2
  31.  
  32. >> %ratkaisut
  33. >>
  34. >> x=-3.4;
  35. >> delta=100;
  36. >> while(delta>0.000001)
  37. f=6*cos(x)-2*x-1;
  38. Df=-6*sin(x)-2;
  39. X=x-f/Df;
  40. delta=abs(X-x);
  41. x=X;
  42. end
  43. >> x
  44.  
  45. x =
  46.  
  47. -3.4002
  48.  
  49. >> x=-2.15;
  50. >> delta=100;
  51. >> while(delta>0.000001)
  52. f=6*cos(x)-2*x-1;
  53. Df=-6*sin(x)-2;
  54. X=x-f/Df;
  55. delta=abs(X-x);
  56. x=X;
  57. end
  58. >> x
  59.  
  60. x =
  61.  
  62. -2.1553
  63.  
  64. >> x=1.02;
  65. >> delta=100;
  66. >> while(delta>0.000001)
  67. f=6*cos(x)-2*x-1;
  68. Df=-6*sin(x)-2;
  69. X=x-f/Df;
  70. delta=abs(X-x);
  71. x=X;
  72. end
  73. >> x
  74.  
  75. x =
  76.  
  77. 1.0340
  78.  
  79. >> %VASTAUS: Ratkaisut ovat -3.4002 ja -2.1553 ja 1.0340
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