Polinomial Newton

71
xi x f(x) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 2 0.6931 0.4055 -0.0589 7.64E-03 -8.21E-04 7.39E-05 -6.16E-06 4.44E-07 -2.99E-08 1.90E-09 -1.07E-10 5.17E-12 -2.28E-13 9.63E-15 -3.62E-16 1.26E-17 -4.00E-19 1 3 1.0986 0.2877 -0.0283 2.72E-03 -2.30E-04 1.84E-05 -1.28E-06 8.46E-08 -5.26E-09 2.92E-10 -1.40E-11 6.10E-13 -2.56E-14 9.52E-16 -3.31E-17 1.04E-18 -3.08E-20 2 4 1.3863 0.2027 -0.0147 1.11E-03 -8.28E-05 5.54E-06 -3.54E-07 2.15E-08 -1.17E-09 5.51E-11 -2.38E-12 9.86E-14 -3.65E-15 1.26E-16 -3.93E-18 1.16E-19 -3.22E-21 3 6 1.7918 0.1438 -0.0081 5.29E-04 -3.30E-05 2.01E-06 -1.18E-07 6.25E-09 -2.89E-10 1.23E-11 -5.03E-13 1.84E-14 -6.29E-16 1.95E-17 -5.72E-19 1.58E-20 -4.05E-22 4 8 2.0794 0.1116 -0.0054 2.99E-04 -1.69E-05 9.47E-07 -4.88E-08 2.21E-09 -9.23E-11 3.73E-12 -1.35E-13 4.57E-15 -1.41E-16 4.10E-18 -1.13E-19 2.87E-21 5 10 2.3026 0.0953 -0.0039 1.97E-04 -1.03E-05 5.08E-07 -2.23E-08 9.15E-10 -3.64E-11 1.30E-12 -4.35E-14 1.33E-15 -3.84E-17 1.05E-18 -2.66E-20 6 11 2.3979 0.0835 -0.0031 1.46E-04 -6.74E-06 2.85E-07 -1.14E-08 4.42E-10 -1.56E-11 5.15E-13 -1.56E-14 4.47E-16 -1.21E-17 3.06E-19 7 13 2.5649 0.0741 -0.0026 1.05E-04 -4.17E-06 1.60E-07 -6.05E-09 2.09E-10 -6.80E-12 2.03E-13 -5.77E-15 1.55E-16 -3.89E-18 8 14 2.6391 0.0690 -0.0021 7.59E-05 -2.73E-06 9.94E-08 -3.34E-09 1.07E-10 -3.14E-12 8.80E-14 -2.35E-15 5.83E-17 9 15 2.7081 0.0626 -0.0017 5.40E-05 -1.84E-06 5.93E-08 -1.84E-09 5.32E-11 -1.47E-12 3.87E-14 -9.51E-16 10 17 2.8332 0.0542 -0.0013 3.93E-05 -1.19E-06 3.54E-08 -9.92E-10 2.68E-11 -6.95E-13 1.68E-14 11 20 2.9957 0.0477 -0.0011 2.86E-05 -7.98E-07 2.15E-08 -5.64E-10 1.43E-11 -3.41E-13 12 22 3.0910 0.0445 -0.0009 2.22E-05 -5.62E-07 1.42E-08 -3.49E-10 8.16E-12 13 23 3.1355 0.0409 -0.0008 1.72E-05 -4.06E-07 9.62E-09 -2.19E-10 14 26 3.2581 0.0371 -0.0006 1.31E-05 -2.91E-07 6.34E-09 15 28 3.3322 0.0339 -0.0005 1.05E-05 -2.15E-07 16 31 3.4340 0.0313 -0.0005 8.35E-06 17 33 3.4965 0.0294 -0.0004 18 35 3.5553 0.0274 19 38 3.6376

description

fisikametode numerik

Transcript of Polinomial Newton

Page 1: Polinomial Newton

xi x f(x) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

0 2 0.6931 0.4055 -0.0589 7.64E-03 -8.21E-04 7.39E-05 -6.16E-06 4.44E-07 -2.99E-08 1.90E-09 -1.07E-10 5.17E-12 -2.28E-13 9.63E-15 -3.62E-16 1.26E-17 -4.00E-19 1.19E-20 -3.35E-22 8.68E-24

1 3 1.0986 0.2877 -0.0283 2.72E-03 -2.30E-04 1.84E-05 -1.28E-06 8.46E-08 -5.26E-09 2.92E-10 -1.40E-11 6.10E-13 -2.56E-14 9.52E-16 -3.31E-17 1.04E-18 -3.08E-20 8.63E-22 -2.23E-23

2 4 1.3863 0.2027 -0.0147 1.11E-03 -8.28E-05 5.54E-06 -3.54E-07 2.15E-08 -1.17E-09 5.51E-11 -2.38E-12 9.86E-14 -3.65E-15 1.26E-16 -3.93E-18 1.16E-19 -3.22E-21 8.29E-23

3 6 1.7918 0.1438 -0.0081 5.29E-04 -3.30E-05 2.01E-06 -1.18E-07 6.25E-09 -2.89E-10 1.23E-11 -5.03E-13 1.84E-14 -6.29E-16 1.95E-17 -5.72E-19 1.58E-20 -4.05E-22

4 8 2.0794 0.1116 -0.0054 2.99E-04 -1.69E-05 9.47E-07 -4.88E-08 2.21E-09 -9.23E-11 3.73E-12 -1.35E-13 4.57E-15 -1.41E-16 4.10E-18 -1.13E-19 2.87E-21

5 10 2.3026 0.0953 -0.0039 1.97E-04 -1.03E-05 5.08E-07 -2.23E-08 9.15E-10 -3.64E-11 1.30E-12 -4.35E-14 1.33E-15 -3.84E-17 1.05E-18 -2.66E-20

6 11 2.3979 0.0835 -0.0031 1.46E-04 -6.74E-06 2.85E-07 -1.14E-08 4.42E-10 -1.56E-11 5.15E-13 -1.56E-14 4.47E-16 -1.21E-17 3.06E-19

7 13 2.5649 0.0741 -0.0026 1.05E-04 -4.17E-06 1.60E-07 -6.05E-09 2.09E-10 -6.80E-12 2.03E-13 -5.77E-15 1.55E-16 -3.89E-18

8 14 2.6391 0.0690 -0.0021 7.59E-05 -2.73E-06 9.94E-08 -3.34E-09 1.07E-10 -3.14E-12 8.80E-14 -2.35E-15 5.83E-17

9 15 2.7081 0.0626 -0.0017 5.40E-05 -1.84E-06 5.93E-08 -1.84E-09 5.32E-11 -1.47E-12 3.87E-14 -9.51E-16

10 17 2.8332 0.0542 -0.0013 3.93E-05 -1.19E-06 3.54E-08 -9.92E-10 2.68E-11 -6.95E-13 1.68E-14

11 20 2.9957 0.0477 -0.0011 2.86E-05 -7.98E-07 2.15E-08 -5.64E-10 1.43E-11 -3.41E-13

12 22 3.0910 0.0445 -0.0009 2.22E-05 -5.62E-07 1.42E-08 -3.49E-10 8.16E-12

13 23 3.1355 0.0409 -0.0008 1.72E-05 -4.06E-07 9.62E-09 -2.19E-10

14 26 3.2581 0.0371 -0.0006 1.31E-05 -2.91E-07 6.34E-09

15 28 3.3322 0.0339 -0.0005 1.05E-05 -2.15E-07

16 31 3.4340 0.0313 -0.0005 8.35E-06

17 33 3.4965 0.0294 -0.0004

18 35 3.5553 0.0274

19 38 3.6376

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241 0.00000 23 0 1 1 23 3 7.667 5 4.6 7 3.286 9 2.556 11 2.0912 0.69315 22 -1 -22 0 1 2 11 4 5.5 6 3.667 8 2.75 10 2.24 1.38629 20 -3 -6.67 -2 -10 0 1 2 10 4 5 6 3.333 8 2.56 1.79176 18 -5 -3.6 -4 -4.5 -2 -9 0 1 2 9 4 4.5 6 38 2.07944 16 -7 -2.29 -6 -2.67 -4 -4 -2 -8 0 1 2 8 4 4

10 2.30259 14 -9 -1.56 -8 -1.75 -6 -2.33 -4 -3.5 -2 -7 0 1 2 712 2.48491 12 -11 -1.09 -10 -1.2 -8 -1.5 -6 -2 -4 -3 -2 -6 0 115 2.70805 9 -14 -0.64 -13 -0.69 -11 -0.82 -9 -1 -7 -1.29 -5 -1.8 -3 -320 2.99573 4 -19 -0.21 -18 -0.22 -16 -0.25 -14 -0.29 -12 -0.33 -10 -0.4 -8 -0.525 3.21888 -1 -24 0.042 -23 0.043 -21 0.048 -19 0.053 -17 0.059 -15 0.067 -13 0.077

92 0.69315 7 -1 1 0 ### 2 3.5 4 1.75 6 1.167 8 0.875 10 0.73 1.09861 6 -2 -3 -1 1 1 6 3 2 5 1.2 7 0.857 9 0.6674 1.38629 5 -3 -1.67 -2 -2.5 0 1 2 2.5 4 1.25 6 0.833 8 0.6256 1.79176 3 -5 -0.6 -4 -0.75 -2 -1.5 0 1 2 1.5 4 0.75 6 0.58 2.07944 1 -7 -0.14 -6 -0.17 -4 -0.25 -2 -0.5 0 1 2 0.5 4 0.25

10 2.30259 -1 -9 0.111 -8 0.125 -6 0.167 -4 0.25 -2 0.5 0 1 2 -0.511 2.39790 -2 -10 0.2 -9 0.222 -7 0.286 -5 0.4 -3 0.667 -1 2 1 113 2.56495 -4 -12 0.333 -11 0.364 -9 0.444 -7 0.571 -5 0.8 -3 1.333 -1 414 2.63906 -5 -13 0.385 -12 0.417 -10 0.5 -8 0.625 -6 0.833 -4 1.25 -2 2.515 2.70805 -6 -14 0.429 -13 0.462 -11 0.545 -9 0.667 -7 0.857 -5 1.2 -3 217 2.83321 -8 -16 0.5 -15 0.533 -13 0.615 -11 0.727 -9 0.889 -7 1.143 -5 1.620 2.99573 -11 -19 0.579 -18 0.611 -16 0.688 -14 0.786 -12 0.917 -10 1.1 -8 1.37522 3.09104 -13 -21 0.619 -20 0.65 -18 0.722 -16 0.813 -14 0.929 -12 1.083 -10 1.323 3.13549 -14 -22 0.636 -21 0.667 -19 0.737 -17 0.824 -15 0.933 -13 1.077 -11 1.27326 3.25810 -17 -25 0.68 -24 0.708 -22 0.773 -20 0.85 -18 0.944 -16 1.063 -14 1.21428 3.33220 -19 -27 0.704 -26 0.731 -24 0.792 -22 0.864 -20 0.95 -18 1.056 -16 1.18831 3.43399 -22 -30 0.733 -29 0.759 -27 0.815 -25 0.88 -23 0.957 -21 1.048 -19 1.15833 3.49651 -24 -32 0.75 -31 0.774 -29 0.828 -27 0.889 -25 0.96 -23 1.043 -21 1.14335 3.55535 -26 -34 0.765 -33 0.788 -31 0.839 -29 0.897 -27 0.963 -25 1.04 -23 1.1338 3.63759 -29 -37 0.784 -36 0.806 -34 0.853 -32 0.906 -30 0.967 -28 1.036 -26 1.115

162 0.69315 14 -1 1 0 ### 2 7 4 3.5 6 2.333 8 1.75 10 1.43 1.09861 13 -2 -6.5 -1 1 1 13 3 4.333 5 2.6 7 1.857 9 1.444

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4 1.38629 12 -3 -4 -2 -6 0 1 2 6 4 3 6 2 8 1.56 1.79176 10 -5 -2 -4 -2.5 -2 -5 0 1 2 5 4 2.5 6 1.6678 2.07944 8 -7 -1.14 -6 -1.33 -4 -2 -2 -4 0 1 2 4 4 2

10 2.30259 6 -9 -0.67 -8 -0.75 -6 -1 -4 -1.5 -2 -3 0 1 2 311 2.39790 5 -10 -0.5 -9 -0.56 -7 -0.71 -5 -1 -3 -1.67 -1 -5 1 113 2.56495 3 -12 -0.25 -11 -0.27 -9 -0.33 -7 -0.43 -5 -0.6 -3 -1 -1 -314 2.63906 2 -13 -0.15 -12 -0.17 -10 -0.2 -8 -0.25 -6 -0.33 -4 -0.5 -2 -115 2.70805 1 -14 -0.07 -13 -0.08 -11 -0.09 -9 -0.11 -7 -0.14 -5 -0.2 -3 -0.3317 2.83321 -1 -16 0.063 -15 0.067 -13 0.077 -11 0.091 -9 0.111 -7 0.143 -5 0.220 2.99573 -4 -19 0.211 -18 0.222 -16 0.25 -14 0.286 -12 0.333 -10 0.4 -8 0.522 3.09104 -6 -21 0.286 -20 0.3 -18 0.333 -16 0.375 -14 0.429 -12 0.5 -10 0.623 3.13549 -7 -22 0.318 -21 0.333 -19 0.368 -17 0.412 -15 0.467 -13 0.538 -11 0.63626 3.25810 -10 -25 0.4 -24 0.417 -22 0.455 -20 0.5 -18 0.556 -16 0.625 -14 0.71428 3.33220 -12 -27 0.444 -26 0.462 -24 0.5 -22 0.545 -20 0.6 -18 0.667 -16 0.7531 3.43399 -15 -30 0.5 -29 0.517 -27 0.556 -25 0.6 -23 0.652 -21 0.714 -19 0.78933 3.49651 -17 -32 0.531 -31 0.548 -29 0.586 -27 0.63 -25 0.68 -23 0.739 -21 0.8135 3.55535 -19 -34 0.559 -33 0.576 -31 0.613 -29 0.655 -27 0.704 -25 0.76 -23 0.82638 3.63759 -22 -37 0.595 -36 0.611 -34 0.647 -32 0.688 -30 0.733 -28 0.786 -26 0.846

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2414 1.643 19 1.211 24 0.958 -1 -23 -1 -23 -1 -23 -1 -23 -1 -23 -113 1.692 18 1.222 23 0.957 -2 -11 -2 -11 -2 -11 -2 -11 -2 -11 -211 1.818 16 1.25 21 0.952 -4 -5 -4 -5 -4 -5 -4 -5 -4 -5 -49 2 14 1.286 19 0.947 -6 -3 -6 -3 -6 -3 -6 -3 -6 -3 -67 2.286 12 1.333 17 0.941 -8 -2 -8 -2 -8 -2 -8 -2 -8 -2 -85 2.8 10 1.4 15 0.933 -10 -1.4 -10 -1.4 -10 -1.4 -10 -1.4 -10 -1.4 -103 4 8 1.5 13 0.923 -12 -1 -12 -1 -12 -1 -12 -1 -12 -1 -120 1 5 1.8 10 0.9 -15 -0.6 -15 -0.6 -15 -0.6 -15 -0.6 -15 -0.6 -15-5 -0.8 0 1 5 0.8 -20 -0.2 -20 -0.2 -20 -0.2 -20 -0.2 -20 -0.2 -20

-10 0.1 -5 0.2 0 1 -25 0.04 -25 0.04 -25 0.04 -25 0.04 -25 0.04 -25

913 0.538 18 0.389 23 0.304 -2 -3.5 -2 -3.5 -2 -3.5 -2 -3.5 -2 -3.5 -212 0.5 17 0.353 22 0.273 -3 -2 -3 -2 -3 -2 -3 -2 -3 -2 -311 0.455 16 0.313 21 0.238 -4 -1.25 -4 -1.25 -4 -1.25 -4 -1.25 -4 -1.25 -49 0.333 14 0.214 19 0.158 -6 -0.5 -6 -0.5 -6 -0.5 -6 -0.5 -6 -0.5 -67 0.143 12 0.083 17 0.059 -8 -0.13 -8 -0.13 -8 -0.13 -8 -0.13 -8 -0.13 -85 -0.2 10 -0.1 15 -0.07 -10 0.1 -10 0.1 -10 0.1 -10 0.1 -10 0.1 -104 -0.5 9 -0.22 14 -0.14 -11 0.182 -11 0.182 -11 0.182 -11 0.182 -11 0.182 -112 1 7 -0.57 12 -0.33 -13 0.308 -13 0.308 -13 0.308 -13 0.308 -13 0.308 -131 -5 6 1 11 -0.45 -14 0.357 -14 0.357 -14 0.357 -14 0.357 -14 0.357 -140 ### 5 -1.2 10 1 -15 0.4 -15 0.4 -15 0.4 -15 0.4 -15 0.4 -15-2 4 3 -2.67 8 -1 -17 1 -17 0.471 -17 0.471 -17 0.471 -17 0.471 -17-5 2.2 0 ### 5 -2.2 -20 0.55 -20 1 -20 0.55 -20 0.55 -20 0.55 -20-7 1.857 -2 6.5 3 -4.33 -22 0.591 -22 0.591 -22 1 -22 0.591 -22 0.591 -22-8 1.75 -3 4.667 2 -7 -23 0.609 -23 0.609 -23 0.609 -23 1 -23 0.609 -23

-11 1.545 -6 2.833 -1 17 -26 0.654 -26 0.654 -26 0.654 -26 0.654 -26 1 -26-13 1.462 -8 2.375 -3 6.333 -28 0.679 -28 0.679 -28 0.679 -28 0.679 -28 0.679 -28-16 1.375 -11 2 -6 3.667 -31 0.71 -31 0.71 -31 0.71 -31 0.71 -31 0.71 -31-18 1.333 -13 1.846 -8 3 -33 0.727 -33 0.727 -33 0.727 -33 0.727 -33 0.727 -33-20 1.3 -15 1.733 -10 2.6 -35 0.743 -35 0.743 -35 0.743 -35 0.743 -35 0.743 -35-23 1.261 -18 1.611 -13 2.231 -38 0.763 -38 0.763 -38 0.763 -38 0.763 -38 0.763 -38

1613 1.077 18 0.778 23 0.609 -2 -7 -2 -7 -2 -7 -2 -7 -2 -7 -212 1.083 17 0.765 22 0.591 -3 -4.33 -3 -4.33 -3 -4.33 -3 -4.33 -3 -4.33 -3

Page 8: Polinomial Newton

11 1.091 16 0.75 21 0.571 -4 -3 -4 -3 -4 -3 -4 -3 -4 -3 -49 1.111 14 0.714 19 0.526 -6 -1.67 -6 -1.67 -6 -1.67 -6 -1.67 -6 -1.67 -67 1.143 12 0.667 17 0.471 -8 -1 -8 -1 -8 -1 -8 -1 -8 -1 -85 1.2 10 0.6 15 0.4 -10 -0.6 -10 -0.6 -10 -0.6 -10 -0.6 -10 -0.6 -104 1.25 9 0.556 14 0.357 -11 -0.45 -11 -0.45 -11 -0.45 -11 -0.45 -11 -0.45 -112 1 7 0.429 12 0.25 -13 -0.23 -13 -0.23 -13 -0.23 -13 -0.23 -13 -0.23 -131 2 6 1 11 0.182 -14 -0.14 -14 -0.14 -14 -0.14 -14 -0.14 -14 -0.14 -140 ### 5 0.2 10 1 -15 -0.07 -15 -0.07 -15 -0.07 -15 -0.07 -15 -0.07 -15-2 0.5 3 -0.33 8 -0.13 -17 1 -17 0.059 -17 0.059 -17 0.059 -17 0.059 -17-5 0.8 0 ### 5 -0.8 -20 0.2 -20 1 -20 0.2 -20 0.2 -20 0.2 -20-7 0.857 -2 3 3 -2 -22 0.273 -22 0.273 -22 1 -22 0.273 -22 0.273 -22-8 0.875 -3 2.333 2 -3.5 -23 0.304 -23 0.304 -23 0.304 -23 1 -23 0.304 -23

-11 0.909 -6 1.667 -1 10 -26 0.385 -26 0.385 -26 0.385 -26 0.385 -26 1 -26-13 0.923 -8 1.5 -3 4 -28 0.429 -28 0.429 -28 0.429 -28 0.429 -28 0.429 -28-16 0.938 -11 1.364 -6 2.5 -31 0.484 -31 0.484 -31 0.484 -31 0.484 -31 0.484 -31-18 0.944 -13 1.308 -8 2.125 -33 0.515 -33 0.515 -33 0.515 -33 0.515 -33 0.515 -33-20 0.95 -15 1.267 -10 1.9 -35 0.543 -35 0.543 -35 0.543 -35 0.543 -35 0.543 -35-23 0.957 -18 1.222 -13 1.692 -38 0.579 -38 0.579 -38 0.579 -38 0.579 -38 0.579 -38

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24-23 -1 -23 -1 -23 -1 -23 -1 -23 L0 11.54887 0 1-11 -2 -11 -2 -11 -2 -11 -2 -11 L1 -38.76923 -26.872783 2-5 -4 -5 -4 -5 -4 -5 -4 -5 L2 103.50000 143.481466 4-3 -6 -3 -6 -3 -6 -3 -6 -3 L3 -213.05263 -381.73907 6-2 -8 -2 -8 -2 -8 -2 -8 -2 L4 287.01681 596.834671 8

-1.4 -10 -1.4 -10 -1.4 -10 -1.4 -10 -1.4 L5 -242.88000 -559.251867 10-1 -12 -1 -12 -1 -12 -1 -12 -1 L6 111.46154 276.971518 12

-0.6 -15 -0.6 -15 -0.6 -15 -0.6 -15 -0.6 L7 -20.70505 -56.0703282 15-0.2 -20 -0.2 -20 -0.2 -20 -0.2 -20 -0.2 L8 2.39684 7.18029725 200.04 -25 0.04 -25 0.04 -25 0.04 -25 0.04 L9 0.48286 1.55425937 25

2.088169

-3.5 -2 -3.5 -2 -3.5 -2 -3.5 -2 -3.5 L0 9.413.E-06 6.52462E-06 2-2 -3 -2 -3 -2 -3 -2 -3 -2 L1 #DIV/0! #DIV/0! 3

-1.25 -4 -1.25 -4 -1.25 -4 -1.25 -4 -1.25 L2 0.00302 0.00418667 4-0.5 -6 -0.5 -6 -0.5 -6 -0.5 -6 -0.5 L3 -0.01858 -0.03329479 6

-0.13 -8 -0.13 -8 -0.13 -8 -0.13 -8 -0.13 L4 0.27079 0.56309304 80.1 -10 0.1 -10 0.1 -10 0.1 -10 0.1 L5 1.81582 4.1810804 10

0.182 -11 0.182 -11 0.182 -11 0.182 -11 0.182 L6 -3.19289 -7.65621462 110.308 -13 0.308 -13 0.308 -13 0.308 -13 0.308 L7 #DIV/0! #DIV/0! 130.357 -14 0.357 -14 0.357 -14 0.357 -14 0.357 L8 #DIV/0! #DIV/0! 14

0.4 -15 0.4 -15 0.4 -15 0.4 -15 0.4 L9 0.12142 0.32880352 150.471 -17 0.471 -17 0.471 -17 0.471 -17 0.471 L10 -0.00001 -3.1802E-05 170.55 -20 0.55 -20 0.55 -20 0.55 -20 0.55 L11 -0.00001 -2.8771E-05 20

0.591 -22 0.591 -22 0.591 -22 0.591 -22 0.591 L12 -0.00001 -2.7631E-05 220.609 -23 0.609 -23 0.609 -23 0.609 -23 0.609 L13 -0.00001 -2.721E-05 230.654 -26 0.654 -26 0.654 -26 0.654 -26 0.654 L14 -0.00001 -2.6321E-05 26

1 -28 0.679 -28 0.679 -28 0.679 -28 0.679 L15 -7.784.E-06 -2.5939E-05 280.71 -31 1 -31 0.71 -31 0.71 -31 0.71 L16 -7.443.E-06 -2.556E-05 31

0.727 -33 0.727 -33 1 -33 0.727 -33 0.727 L17 -7.263.E-06 -2.5395E-05 330.743 -35 0.743 -35 0.743 -35 1 -35 0.743 L18 -7.111.E-06 -2.5281E-05 350.763 -38 0.763 -38 0.763 -38 0.763 -38 1 L19 -6.922.E-06 -2.5178E-05 38

#DIV/0!16

-7 -2 -7 -2 -7 -2 -7 -2 -7 L0 -1.02143E-06 -7.08E-07 2-4.33 -3 -4.33 -3 -4.33 -3 -4.33 -3 -4.33 L1 #DIV/0! #DIV/0! 3

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-3 -4 -3 -4 -3 -4 -3 -4 -3 L2 -2.73.E-04 -0.00037859 4-1.67 -6 -1.67 -6 -1.67 -6 -1.67 -6 -1.67 L3 0.00121 0.00216773 6

-1 -8 -1 -8 -1 -8 -1 -8 -1 L4 -0.00735 -0.01527561 8-0.6 -10 -0.6 -10 -0.6 -10 -0.6 -10 -0.6 L5 0.06568 0.15123271 10

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#DIV/0!19

24

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30

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Page 16: Polinomial Newton
Page 17: Polinomial Newton

70.00000 6 0 1 1 6 3 2 5 1.2 7 0.857 9 0.667 11 0.5450.69315 5 -1 -5 0 1 2 2.5 4 1.25 6 0.833 8 0.625 10 0.51.38629 3 -3 -1 -2 -1.5 0 1 2 1.5 4 0.75 6 0.5 8 0.3751.79176 1 -5 -0.2 -4 -0.25 -2 -0.5 0 1 2 0.5 4 0.25 6 0.1672.07944 -1 -7 0.143 -6 0.167 -4 0.25 -2 0.5 0 1 2 -0.5 4 -0.252.30259 -3 -9 0.333 -8 0.375 -6 0.5 -4 0.75 -2 1.5 0 1 2 -1.52.48491 -5 -11 0.455 -10 0.5 -8 0.625 -6 0.833 -4 1.25 -2 2.5 0 12.70805 -8 -14 0.571 -13 0.615 -11 0.727 -9 0.889 -7 1.143 -5 1.6 -3 2.6672.99573 -13 -19 0.684 -18 0.722 -16 0.813 -14 0.929 -12 1.083 -10 1.3 -8 1.6253.21888 -18 -24 0.75 -23 0.783 -21 0.857 -19 0.947 -17 1.059 -15 1.2 -13 1.385

7 1 7 2 3.5 4 1.75 6 1.167 8 0.875 10 0.7 12 0.5837 1 7 2 3.5 4 1.75 6 1.167 8 0.875 10 0.7 12 0.5837 1 7 2 3.5 4 1.75 6 1.167 8 0.875 10 0.7 12 0.5837 1 7 2 3.5 4 1.75 6 1.167 8 0.875 10 0.7 12 0.5837 1 7 2 3.5 4 1.75 6 1.167 8 0.875 10 0.7 12 0.5837 1 7 2 3.5 4 1.75 6 1.167 8 0.875 10 0.7 12 0.5837 1 7 2 3.5 4 1.75 6 1.167 8 0.875 10 0.7 12 0.5837 1 7 2 3.5 4 1.75 6 1.167 8 0.875 10 0.7 12 0.5837 1 7 2 3.5 4 1.75 6 1.167 8 0.875 10 0.7 12 0.5837 1 7 2 3.5 4 1.75 6 1.167 8 0.875 10 0.7 12 0.583

120.69315 10 -1 1 0 ### 2 5 4 2.5 6 1.667 8 1.25 10 11.09861 9 -2 -4.5 -1 1 1 9 3 3 5 1.8 7 1.286 9 11.38629 8 -3 -2.67 -2 -4 0 1 2 4 4 2 6 1.333 8 11.79176 6 -5 -1.2 -4 -1.5 -2 -3 0 1 2 3 4 1.5 6 12.07944 4 -7 -0.57 -6 -0.67 -4 -1 -2 -2 0 1 2 2 4 12.30259 2 -9 -0.22 -8 -0.25 -6 -0.33 -4 -0.5 -2 -1 0 1 2 12.39790 1 -10 -0.1 -9 -0.11 -7 -0.14 -5 -0.2 -3 -0.33 -1 -1 1 12.56495 -1 -12 0.083 -11 0.091 -9 0.111 -7 0.143 -5 0.2 -3 0.333 -1 12.63906 -2 -13 0.154 -12 0.167 -10 0.2 -8 0.25 -6 0.333 -4 0.5 -2 12.70805 -3 -14 0.214 -13 0.231 -11 0.273 -9 0.333 -7 0.429 -5 0.6 -3 12.83321 -5 -16 0.313 -15 0.333 -13 0.385 -11 0.455 -9 0.556 -7 0.714 -5 12.99573 -8 -19 0.421 -18 0.444 -16 0.5 -14 0.571 -12 0.667 -10 0.8 -8 13.09104 -10 -21 0.476 -20 0.5 -18 0.556 -16 0.625 -14 0.714 -12 0.833 -10 13.13549 -11 -22 0.5 -21 0.524 -19 0.579 -17 0.647 -15 0.733 -13 0.846 -11 13.25810 -14 -25 0.56 -24 0.583 -22 0.636 -20 0.7 -18 0.778 -16 0.875 -14 13.33220 -16 -27 0.593 -26 0.615 -24 0.667 -22 0.727 -20 0.8 -18 0.889 -16 13.43399 -19 -30 0.633 -29 0.655 -27 0.704 -25 0.76 -23 0.826 -21 0.905 -19 13.49651 -21 -32 0.656 -31 0.677 -29 0.724 -27 0.778 -25 0.84 -23 0.913 -21 13.55535 -23 -34 0.676 -33 0.697 -31 0.742 -29 0.793 -27 0.852 -25 0.92 -23 13.63759 -26 -37 0.703 -36 0.722 -34 0.765 -32 0.813 -30 0.867 -28 0.929 -26 1

180.69315 16 -1 1 0 ### 2 8 4 4 6 2.667 8 2 10 1.61.09861 15 -2 -7.5 -1 1 1 15 3 5 5 3 7 2.143 9 1.667

Page 18: Polinomial Newton

1.38629 14 -3 -4.67 -2 -7 0 1 2 7 4 3.5 6 2.333 8 1.751.79176 12 -5 -2.4 -4 -3 -2 -6 0 1 2 6 4 3 6 22.07944 10 -7 -1.43 -6 -1.67 -4 -2.5 -2 -5 0 1 2 5 4 2.52.30259 8 -9 -0.89 -8 -1 -6 -1.33 -4 -2 -2 -4 0 1 2 42.39790 7 -10 -0.7 -9 -0.78 -7 -1 -5 -1.4 -3 -2.33 -1 -7 1 12.56495 5 -12 -0.42 -11 -0.45 -9 -0.56 -7 -0.71 -5 -1 -3 -1.67 -1 -52.63906 4 -13 -0.31 -12 -0.33 -10 -0.4 -8 -0.5 -6 -0.67 -4 -1 -2 -22.70805 3 -14 -0.21 -13 -0.23 -11 -0.27 -9 -0.33 -7 -0.43 -5 -0.6 -3 -12.83321 1 -16 -0.06 -15 -0.07 -13 -0.08 -11 -0.09 -9 -0.11 -7 -0.14 -5 -0.22.99573 -2 -19 0.105 -18 0.111 -16 0.125 -14 0.143 -12 0.167 -10 0.2 -8 0.253.09104 -4 -21 0.19 -20 0.2 -18 0.222 -16 0.25 -14 0.286 -12 0.333 -10 0.43.13549 -5 -22 0.227 -21 0.238 -19 0.263 -17 0.294 -15 0.333 -13 0.385 -11 0.4553.25810 -8 -25 0.32 -24 0.333 -22 0.364 -20 0.4 -18 0.444 -16 0.5 -14 0.5713.33220 -10 -27 0.37 -26 0.385 -24 0.417 -22 0.455 -20 0.5 -18 0.556 -16 0.6253.43399 -13 -30 0.433 -29 0.448 -27 0.481 -25 0.52 -23 0.565 -21 0.619 -19 0.6843.49651 -15 -32 0.469 -31 0.484 -29 0.517 -27 0.556 -25 0.6 -23 0.652 -21 0.7143.55535 -17 -34 0.5 -33 0.515 -31 0.548 -29 0.586 -27 0.63 -25 0.68 -23 0.7393.63759 -20 -37 0.541 -36 0.556 -34 0.588 -32 0.625 -30 0.667 -28 0.714 -26 0.769

21

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Page 20: Polinomial Newton

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Page 21: Polinomial Newton

714 0.429 19 0.316 24 0.25 -1 -6 -1 -6 -1 -6 -1 -6 -1 -6 -113 0.385 18 0.278 23 0.217 -2 -2.5 -2 -2.5 -2 -2.5 -2 -2.5 -2 -2.5 -211 0.273 16 0.188 21 0.143 -4 -0.75 -4 -0.75 -4 -0.75 -4 -0.75 -4 -0.75 -49 0.111 14 0.071 19 0.053 -6 -0.17 -6 -0.17 -6 -0.17 -6 -0.17 -6 -0.17 -67 -0.14 12 -0.08 17 -0.06 -8 0.125 -8 0.125 -8 0.125 -8 0.125 -8 0.125 -85 -0.6 10 -0.3 15 -0.2 -10 0.3 -10 0.3 -10 0.3 -10 0.3 -10 0.3 -103 -1.67 8 -0.63 13 -0.38 -12 0.417 -12 0.417 -12 0.417 -12 0.417 -12 0.417 -120 1 5 -1.6 10 -0.8 -15 0.533 -15 0.533 -15 0.533 -15 0.533 -15 0.533 -15-5 2.6 0 1 5 -2.6 -20 0.65 -20 0.65 -20 0.65 -20 0.65 -20 0.65 -20

-10 1.8 -5 3.6 0 1 -25 0.72 -25 0.72 -25 0.72 -25 0.72 -25 0.72 -2515 0.467 20 0.35 25 0.28 0 1 0 ### 0 ### 0 ### 0 ### 015 0.467 20 0.35 25 0.28 0 ### 0 1 0 ### 0 ### 0 ### 015 0.467 20 0.35 25 0.28 0 ### 0 ### 0 1 0 ### 0 ### 015 0.467 20 0.35 25 0.28 0 ### 0 ### 0 ### 0 1 0 ### 015 0.467 20 0.35 25 0.28 0 ### 0 ### 0 ### 0 ### 0 1 015 0.467 20 0.35 25 0.28 0 ### 0 ### 0 ### 0 ### 0 ### 015 0.467 20 0.35 25 0.28 0 ### 0 ### 0 ### 0 ### 0 ### 015 0.467 20 0.35 25 0.28 0 ### 0 ### 0 ### 0 ### 0 ### 015 0.467 20 0.35 25 0.28 0 ### 0 ### 0 ### 0 ### 0 ### 015 0.467 20 0.35 25 0.28 0 ### 0 ### 0 ### 0 ### 0 ### 0

1213 0.769 18 0.556 23 0.435 -2 -5 -2 -5 -2 -5 -2 -5 -2 -5 -212 0.75 17 0.529 22 0.409 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -311 0.727 16 0.5 21 0.381 -4 -2 -4 -2 -4 -2 -4 -2 -4 -2 -49 0.667 14 0.429 19 0.316 -6 -1 -6 -1 -6 -1 -6 -1 -6 -1 -67 0.571 12 0.333 17 0.235 -8 -0.5 -8 -0.5 -8 -0.5 -8 -0.5 -8 -0.5 -85 0.4 10 0.2 15 0.133 -10 -0.2 -10 -0.2 -10 -0.2 -10 -0.2 -10 -0.2 -104 0.25 9 0.111 14 0.071 -11 -0.09 -11 -0.09 -11 -0.09 -11 -0.09 -11 -0.09 -112 1 7 -0.14 12 -0.08 -13 0.077 -13 0.077 -13 0.077 -13 0.077 -13 0.077 -131 -2 6 1 11 -0.18 -14 0.143 -14 0.143 -14 0.143 -14 0.143 -14 0.143 -140 ### 5 -0.6 10 1 -15 0.2 -15 0.2 -15 0.2 -15 0.2 -15 0.2 -15-2 2.5 3 -1.67 8 -0.63 -17 1 -17 0.294 -17 0.294 -17 0.294 -17 0.294 -17-5 1.6 0 ### 5 -1.6 -20 0.4 -20 1 -20 0.4 -20 0.4 -20 0.4 -20-7 1.429 -2 5 3 -3.33 -22 0.455 -22 0.455 -22 1 -22 0.455 -22 0.455 -22-8 1.375 -3 3.667 2 -5.5 -23 0.478 -23 0.478 -23 0.478 -23 1 -23 0.478 -23

-11 1.273 -6 2.333 -1 14 -26 0.538 -26 0.538 -26 0.538 -26 0.538 -26 1 -26-13 1.231 -8 2 -3 5.333 -28 0.571 -28 0.571 -28 0.571 -28 0.571 -28 0.571 -28-16 1.188 -11 1.727 -6 3.167 -31 0.613 -31 0.613 -31 0.613 -31 0.613 -31 0.613 -31-18 1.167 -13 1.615 -8 2.625 -33 0.636 -33 0.636 -33 0.636 -33 0.636 -33 0.636 -33-20 1.15 -15 1.533 -10 2.3 -35 0.657 -35 0.657 -35 0.657 -35 0.657 -35 0.657 -35-23 1.13 -18 1.444 -13 2 -38 0.684 -38 0.684 -38 0.684 -38 0.684 -38 0.684 -38

1813 1.231 18 0.889 23 0.696 -2 -8 -2 -8 -2 -8 -2 -8 -2 -8 -212 1.25 17 0.882 22 0.682 -3 -5 -3 -5 -3 -5 -3 -5 -3 -5 -3

Page 22: Polinomial Newton

11 1.273 16 0.875 21 0.667 -4 -3.5 -4 -3.5 -4 -3.5 -4 -3.5 -4 -3.5 -49 1.333 14 0.857 19 0.632 -6 -2 -6 -2 -6 -2 -6 -2 -6 -2 -67 1.429 12 0.833 17 0.588 -8 -1.25 -8 -1.25 -8 -1.25 -8 -1.25 -8 -1.25 -85 1.6 10 0.8 15 0.533 -10 -0.8 -10 -0.8 -10 -0.8 -10 -0.8 -10 -0.8 -104 1.75 9 0.778 14 0.5 -11 -0.64 -11 -0.64 -11 -0.64 -11 -0.64 -11 -0.64 -112 1 7 0.714 12 0.417 -13 -0.38 -13 -0.38 -13 -0.38 -13 -0.38 -13 -0.38 -131 4 6 1 11 0.364 -14 -0.29 -14 -0.29 -14 -0.29 -14 -0.29 -14 -0.29 -140 ### 5 0.6 10 1 -15 -0.2 -15 -0.2 -15 -0.2 -15 -0.2 -15 -0.2 -15-2 -0.5 3 0.333 8 0.125 -17 1 -17 -0.06 -17 -0.06 -17 -0.06 -17 -0.06 -17-5 0.4 0 ### 5 -0.4 -20 0.1 -20 1 -20 0.1 -20 0.1 -20 0.1 -20-7 0.571 -2 2 3 -1.33 -22 0.182 -22 0.182 -22 1 -22 0.182 -22 0.182 -22-8 0.625 -3 1.667 2 -2.5 -23 0.217 -23 0.217 -23 0.217 -23 1 -23 0.217 -23

-11 0.727 -6 1.333 -1 8 -26 0.308 -26 0.308 -26 0.308 -26 0.308 -26 1 -26-13 0.769 -8 1.25 -3 3.333 -28 0.357 -28 0.357 -28 0.357 -28 0.357 -28 0.357 -28-16 0.813 -11 1.182 -6 2.167 -31 0.419 -31 0.419 -31 0.419 -31 0.419 -31 0.419 -31-18 0.833 -13 1.154 -8 1.875 -33 0.455 -33 0.455 -33 0.455 -33 0.455 -33 0.455 -33-20 0.85 -15 1.133 -10 1.7 -35 0.486 -35 0.486 -35 0.486 -35 0.486 -35 0.486 -35-23 0.87 -18 1.111 -13 1.538 -38 0.526 -38 0.526 -38 0.526 -38 0.526 -38 0.526 -38

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Page 24: Polinomial Newton

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Page 25: Polinomial Newton

7-6 -1 -6 -1 -6 -1 -6 -1 -6 L0 ### 0

-2.5 -2 -2.5 -2 -2.5 -2 -2.5 -2 -2.5 L1 6746.44733 4676.28095-0.75 -4 -0.75 -4 -0.75 -4 -0.75 -4 -0.75 L2 -26.64921 -36.943655-0.17 -6 -0.17 -6 -0.17 -6 -0.17 -6 -0.17 L3 2.56852 4.602161370.125 -8 0.125 -8 0.125 -8 0.125 -8 0.125 L4 0.17321 0.36017154

0.3 -10 0.3 -10 0.3 -10 0.3 -10 0.3 L5 -0.00459 -0.01056940.417 -12 0.417 -12 0.417 -12 0.417 -12 0.417 L6 0.00017 0.000434780.533 -15 0.533 -15 0.533 -15 0.533 -15 0.533 L7 0.00000 -4.43E-060.65 -20 0.65 -20 0.65 -20 0.65 -20 0.65 L8 0.00000 8.7376E-090.72 -25 0.72 -25 0.72 -25 0.72 -25 0.72 L9 0.00000 -3.6668E-11### 0 ### 0 ### 0 ### 0 ### L10 #DIV/0! #DIV/0!### 0 ### 0 ### 0 ### 0 ### L11 #DIV/0! #DIV/0!### 0 ### 0 ### 0 ### 0 ### L12 #DIV/0! #DIV/0!### 0 ### 0 ### 0 ### 0 ### L13 #DIV/0! #DIV/0!### 0 ### 0 ### 0 ### 0 ### L14 #DIV/0! #DIV/0!1 0 ### 0 ### 0 ### 0 ### L15 #DIV/0! #DIV/0!

### 0 1 0 ### 0 ### 0 ### L16 #DIV/0! #DIV/0!### 0 ### 0 1 0 ### 0 ### L17 #DIV/0! #DIV/0!### 0 ### 0 ### 0 1 0 ### L18 #DIV/0! #DIV/0!### 0 ### 0 ### 0 ### 0 1 L19 #DIV/0! #DIV/0!

#DIV/0!12

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#DIV/0!18

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Page 26: Polinomial Newton

-3.5 -4 -3.5 -4 -3.5 -4 -3.5 -4 -3.5 L2 9.956.E-04 0.00138-2 -6 -2 -6 -2 -6 -2 -6 -2 L3 -0.00429 -0.00768

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#DIV/0!21

25

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Page 29: Polinomial Newton

5 7 9 122 0.693147 3 0 ###3 1.098612 2 -1 -24 1.386294 1 -2 -0.56 1.791759 -1 -4 0.258 2.079442 -3 -6 0.5

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Page 30: Polinomial Newton

16 18 19 21 24 25

Page 31: Polinomial Newton

25 27 29 30 32 34

Page 32: Polinomial Newton

36 37

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52 0.69315 3 0 1 1 3 2 1.5 4 0.75 6 0.5 8 0.375 9 0.3333 1.09861 2 -1 -2 0 1 1 2 3 0.667 5 0.4 7 0.286 8 0.254 1.38629 1 -2 -0.5 -1 -1 0 1 2 0.5 4 0.25 6 0.167 7 0.1436 1.79176 -1 -4 0.25 -3 0.333 -2 0.5 0 1 2 -0.5 4 -0.25 5 -0.28 2.07944 -3 -6 0.5 -5 0.6 -4 0.75 -2 1.5 0 1 2 -1.5 3 -1

10 2.30259 -5 -8 0.625 -7 0.714 -6 0.833 -4 1.25 -2 2.5 0 1 1 -511 2.39790 -6 -9 0.667 -8 0.75 -7 0.857 -5 1.2 -3 2 -1 6 0 113 2.56495 -8 -11 0.727 -10 0.8 -9 0.889 -7 1.143 -5 1.6 -3 2.667 -2 414 2.63906 -9 -12 0.75 -11 0.818 -10 0.9 -8 1.125 -6 1.5 -4 2.25 -3 315 2.70805 -10 -13 0.769 -12 0.833 -11 0.909 -9 1.111 -7 1.429 -5 2 -4 2.517 2.83321 -12 -15 0.8 -14 0.857 -13 0.923 -11 1.091 -9 1.333 -7 1.714 -6 220 2.99573 -15 -18 0.833 -17 0.882 -16 0.938 -14 1.071 -12 1.25 -10 1.5 -9 1.66722 3.09104 -17 -20 0.85 -19 0.895 -18 0.944 -16 1.063 -14 1.214 -12 1.417 -11 1.54523 3.13549 -18 -21 0.857 -20 0.9 -19 0.947 -17 1.059 -15 1.2 -13 1.385 -12 1.526 3.25810 -21 -24 0.875 -23 0.913 -22 0.955 -20 1.05 -18 1.167 -16 1.313 -15 1.428 3.33220 -23 -26 0.885 -25 0.92 -24 0.958 -22 1.045 -20 1.15 -18 1.278 -17 1.35331 3.43399 -26 -29 0.897 -28 0.929 -27 0.963 -25 1.04 -23 1.13 -21 1.238 -20 1.333 3.49651 -28 -31 0.903 -30 0.933 -29 0.966 -27 1.037 -25 1.12 -23 1.217 -22 1.27335 3.55535 -30 -33 0.909 -32 0.938 -31 0.968 -29 1.034 -27 1.111 -25 1.2 -24 1.2538 3.63759 -33 -36 0.917 -35 0.943 -34 0.971 -32 1.031 -30 1.1 -28 1.179 -27 1.222

92 0.69315 7 0 1 1 7 2 3.5 4 1.75 6 1.167 8 0.875 9 0.7783 1.09861 6 -1 -6 0 1 1 6 3 2 5 1.2 7 0.857 8 0.754 1.38629 5 -2 -2.5 -1 -5 0 1 2 2.5 4 1.25 6 0.833 7 0.7146 1.79176 3 -4 -0.75 -3 -1 -2 -1.5 0 1 2 1.5 4 0.75 5 0.68 2.07944 1 -6 -0.17 -5 -0.2 -4 -0.25 -2 -0.5 0 1 2 0.5 3 0.333

10 2.30259 -1 -8 0.125 -7 0.143 -6 0.167 -4 0.25 -2 0.5 0 1 1 -111 2.39790 -2 -9 0.222 -8 0.25 -7 0.286 -5 0.4 -3 0.667 -1 2 0 113 2.56495 -4 -11 0.364 -10 0.4 -9 0.444 -7 0.571 -5 0.8 -3 1.333 -2 214 2.63906 -5 -12 0.417 -11 0.455 -10 0.5 -8 0.625 -6 0.833 -4 1.25 -3 1.66715 2.70805 -6 -13 0.462 -12 0.5 -11 0.545 -9 0.667 -7 0.857 -5 1.2 -4 1.517 2.83321 -8 -15 0.533 -14 0.571 -13 0.615 -11 0.727 -9 0.889 -7 1.143 -6 1.33320 2.99573 -11 -18 0.611 -17 0.647 -16 0.688 -14 0.786 -12 0.917 -10 1.1 -9 1.22222 3.09104 -13 -20 0.65 -19 0.684 -18 0.722 -16 0.813 -14 0.929 -12 1.083 -11 1.18223 3.13549 -14 -21 0.667 -20 0.7 -19 0.737 -17 0.824 -15 0.933 -13 1.077 -12 1.16726 3.25810 -17 -24 0.708 -23 0.739 -22 0.773 -20 0.85 -18 0.944 -16 1.063 -15 1.13328 3.33220 -19 -26 0.731 -25 0.76 -24 0.792 -22 0.864 -20 0.95 -18 1.056 -17 1.11831 3.43399 -22 -29 0.759 -28 0.786 -27 0.815 -25 0.88 -23 0.957 -21 1.048 -20 1.133 3.49651 -24 -31 0.774 -30 0.8 -29 0.828 -27 0.889 -25 0.96 -23 1.043 -22 1.09135 3.55535 -26 -33 0.788 -32 0.813 -31 0.839 -29 0.897 -27 0.963 -25 1.04 -24 1.08338 3.63759 -29 -36 0.806 -35 0.829 -34 0.853 -32 0.906 -30 0.967 -28 1.036 -27 1.074

162 0.69315 14 0 1 1 14 2 7 4 3.5 6 2.333 8 1.75 9 1.5563 1.09861 13 -1 -13 0 1 1 13 3 4.333 5 2.6 7 1.857 8 1.625

Page 34: Polinomial Newton

4 1.38629 12 -2 -6 -1 -12 0 1 2 6 4 3 6 2 7 1.7146 1.79176 10 -4 -2.5 -3 -3.33 -2 -5 0 1 2 5 4 2.5 5 28 2.07944 8 -6 -1.33 -5 -1.6 -4 -2 -2 -4 0 1 2 4 3 2.667

10 2.30259 6 -8 -0.75 -7 -0.86 -6 -1 -4 -1.5 -2 -3 0 1 1 611 2.39790 5 -9 -0.56 -8 -0.63 -7 -0.71 -5 -1 -3 -1.67 -1 -5 0 113 2.56495 3 -11 -0.27 -10 -0.3 -9 -0.33 -7 -0.43 -5 -0.6 -3 -1 -2 -1.514 2.63906 2 -12 -0.17 -11 -0.18 -10 -0.2 -8 -0.25 -6 -0.33 -4 -0.5 -3 -0.6715 2.70805 1 -13 -0.08 -12 -0.08 -11 -0.09 -9 -0.11 -7 -0.14 -5 -0.2 -4 -0.2517 2.83321 -1 -15 0.067 -14 0.071 -13 0.077 -11 0.091 -9 0.111 -7 0.143 -6 0.16720 2.99573 -4 -18 0.222 -17 0.235 -16 0.25 -14 0.286 -12 0.333 -10 0.4 -9 0.44422 3.09104 -6 -20 0.3 -19 0.316 -18 0.333 -16 0.375 -14 0.429 -12 0.5 -11 0.54523 3.13549 -7 -21 0.333 -20 0.35 -19 0.368 -17 0.412 -15 0.467 -13 0.538 -12 0.58326 3.25810 -10 -24 0.417 -23 0.435 -22 0.455 -20 0.5 -18 0.556 -16 0.625 -15 0.66728 3.33220 -12 -26 0.462 -25 0.48 -24 0.5 -22 0.545 -20 0.6 -18 0.667 -17 0.70631 3.43399 -15 -29 0.517 -28 0.536 -27 0.556 -25 0.6 -23 0.652 -21 0.714 -20 0.7533 3.49651 -17 -31 0.548 -30 0.567 -29 0.586 -27 0.63 -25 0.68 -23 0.739 -22 0.77335 3.55535 -19 -33 0.576 -32 0.594 -31 0.613 -29 0.655 -27 0.704 -25 0.76 -24 0.79238 3.63759 -22 -36 0.611 -35 0.629 -34 0.647 -32 0.688 -30 0.733 -28 0.786 -27 0.815

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511 0.273 12 0.25 13 0.231 15 0.2 18 0.167 20 0.15 21 0.143 24 0.125 2610 0.2 11 0.182 12 0.167 14 0.143 17 0.118 19 0.105 20 0.1 23 0.087 259 0.111 10 0.1 11 0.091 13 0.077 16 0.063 18 0.056 19 0.053 22 0.045 247 -0.14 8 -0.13 9 -0.11 11 -0.09 14 -0.07 16 -0.06 17 -0.06 20 -0.05 225 -0.6 6 -0.5 7 -0.43 9 -0.33 12 -0.25 14 -0.21 15 -0.2 18 -0.17 203 -1.67 4 -1.25 5 -1 7 -0.71 10 -0.5 12 -0.42 13 -0.38 16 -0.31 182 -3 3 -2 4 -1.5 6 -1 9 -0.67 11 -0.55 12 -0.5 15 -0.4 170 1 1 -8 2 -4 4 -2 7 -1.14 9 -0.89 10 -0.8 13 -0.62 15-1 9 0 1 1 -9 3 -3 6 -1.5 8 -1.13 9 -1 12 -0.75 14-2 5 -1 10 0 1 2 -5 5 -2 7 -1.43 8 -1.25 11 -0.91 13-4 3 -3 4 -2 6 0 1 3 -4 5 -2.4 6 -2 9 -1.33 11-7 2.143 -6 2.5 -5 3 -3 5 0 1 2 -7.5 3 -5 6 -2.5 8-9 1.889 -8 2.125 -7 2.429 -5 3.4 -2 8.5 0 1 1 -17 4 -4.25 6

-10 1.8 -9 2 -8 2.25 -6 3 -3 6 -1 18 0 1 3 -6 5-13 1.615 -12 1.75 -11 1.909 -9 2.333 -6 3.5 -4 5.25 -3 7 0 1 2-15 1.533 -14 1.643 -13 1.769 -11 2.091 -8 2.875 -6 3.833 -5 4.6 -2 11.5 0-18 1.444 -17 1.529 -16 1.625 -14 1.857 -11 2.364 -9 2.889 -8 3.25 -5 5.2 -3-20 1.4 -19 1.474 -18 1.556 -16 1.75 -13 2.154 -11 2.545 -10 2.8 -7 4 -5-22 1.364 -21 1.429 -20 1.5 -18 1.667 -15 2 -13 2.308 -12 2.5 -9 3.333 -7-25 1.32 -24 1.375 -23 1.435 -21 1.571 -18 1.833 -16 2.063 -15 2.2 -12 2.75 -10

911 0.636 12 0.583 13 0.538 15 0.467 18 0.389 20 0.35 21 0.333 24 0.292 2610 0.6 11 0.545 12 0.5 14 0.429 17 0.353 19 0.316 20 0.3 23 0.261 259 0.556 10 0.5 11 0.455 13 0.385 16 0.313 18 0.278 19 0.263 22 0.227 247 0.429 8 0.375 9 0.333 11 0.273 14 0.214 16 0.188 17 0.176 20 0.15 225 0.2 6 0.167 7 0.143 9 0.111 12 0.083 14 0.071 15 0.067 18 0.056 203 -0.33 4 -0.25 5 -0.2 7 -0.14 10 -0.1 12 -0.08 13 -0.08 16 -0.06 182 -1 3 -0.67 4 -0.5 6 -0.33 9 -0.22 11 -0.18 12 -0.17 15 -0.13 170 1 1 -4 2 -2 4 -1 7 -0.57 9 -0.44 10 -0.4 13 -0.31 15-1 5 0 1 1 -5 3 -1.67 6 -0.83 8 -0.63 9 -0.56 12 -0.42 14-2 3 -1 6 0 1 2 -3 5 -1.2 7 -0.86 8 -0.75 11 -0.55 13-4 2 -3 2.667 -2 4 0 1 3 -2.67 5 -1.6 6 -1.33 9 -0.89 11-7 1.571 -6 1.833 -5 2.2 -3 3.667 0 1 2 -5.5 3 -3.67 6 -1.83 8-9 1.444 -8 1.625 -7 1.857 -5 2.6 -2 6.5 0 1 1 -13 4 -3.25 6

-10 1.4 -9 1.556 -8 1.75 -6 2.333 -3 4.667 -1 14 0 1 3 -4.67 5-13 1.308 -12 1.417 -11 1.545 -9 1.889 -6 2.833 -4 4.25 -3 5.667 0 1 2-15 1.267 -14 1.357 -13 1.462 -11 1.727 -8 2.375 -6 3.167 -5 3.8 -2 9.5 0-18 1.222 -17 1.294 -16 1.375 -14 1.571 -11 2 -9 2.444 -8 2.75 -5 4.4 -3-20 1.2 -19 1.263 -18 1.333 -16 1.5 -13 1.846 -11 2.182 -10 2.4 -7 3.429 -5-22 1.182 -21 1.238 -20 1.3 -18 1.444 -15 1.733 -13 2 -12 2.167 -9 2.889 -7-25 1.16 -24 1.208 -23 1.261 -21 1.381 -18 1.611 -16 1.813 -15 1.933 -12 2.417 -10

1611 1.273 12 1.167 13 1.077 15 0.933 18 0.778 20 0.7 21 0.667 24 0.583 2610 1.3 11 1.182 12 1.083 14 0.929 17 0.765 19 0.684 20 0.65 23 0.565 25

Page 39: Polinomial Newton

9 1.333 10 1.2 11 1.091 13 0.923 16 0.75 18 0.667 19 0.632 22 0.545 247 1.429 8 1.25 9 1.111 11 0.909 14 0.714 16 0.625 17 0.588 20 0.5 225 1.6 6 1.333 7 1.143 9 0.889 12 0.667 14 0.571 15 0.533 18 0.444 203 2 4 1.5 5 1.2 7 0.857 10 0.6 12 0.5 13 0.462 16 0.375 182 2.5 3 1.667 4 1.25 6 0.833 9 0.556 11 0.455 12 0.417 15 0.333 170 1 1 3 2 1.5 4 0.75 7 0.429 9 0.333 10 0.3 13 0.231 15-1 -2 0 1 1 2 3 0.667 6 0.333 8 0.25 9 0.222 12 0.167 14-2 -0.5 -1 -1 0 1 2 0.5 5 0.2 7 0.143 8 0.125 11 0.091 13-4 0.25 -3 0.333 -2 0.5 0 1 3 -0.33 5 -0.2 6 -0.17 9 -0.11 11-7 0.571 -6 0.667 -5 0.8 -3 1.333 0 1 2 -2 3 -1.33 6 -0.67 8-9 0.667 -8 0.75 -7 0.857 -5 1.2 -2 3 0 1 1 -6 4 -1.5 6

-10 0.7 -9 0.778 -8 0.875 -6 1.167 -3 2.333 -1 7 0 1 3 -2.33 5-13 0.769 -12 0.833 -11 0.909 -9 1.111 -6 1.667 -4 2.5 -3 3.333 0 1 2-15 0.8 -14 0.857 -13 0.923 -11 1.091 -8 1.5 -6 2 -5 2.4 -2 6 0-18 0.833 -17 0.882 -16 0.938 -14 1.071 -11 1.364 -9 1.667 -8 1.875 -5 3 -3-20 0.85 -19 0.895 -18 0.944 -16 1.063 -13 1.308 -11 1.545 -10 1.7 -7 2.429 -5-22 0.864 -21 0.905 -20 0.95 -18 1.056 -15 1.267 -13 1.462 -12 1.583 -9 2.111 -7-25 0.88 -24 0.917 -23 0.957 -21 1.048 -18 1.222 -16 1.375 -15 1.467 -12 1.833 -10

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50.115 29 0.103 31 0.097 33 0.091 36 0.083 L0 0.00554 0.00384303 20.08 28 0.071 30 0.067 32 0.063 35 0.057 L1 -0.06871 -0.07548652 3

0.042 27 0.037 29 0.034 31 0.032 34 0.029 L2 0.36150 0.50114009 4-0.05 25 -0.04 27 -0.04 29 -0.03 32 -0.03 L3 1.33456 2.39121035 6-0.15 23 -0.13 25 -0.12 27 -0.11 30 -0.1 L4 -2.16089 -4.49344212 8-0.28 21 -0.24 23 -0.22 25 -0.2 28 -0.18 L5 8.69407 20.0188334 10-0.35 20 -0.3 22 -0.27 24 -0.25 27 -0.22 L6 -13.21338 -31.6843106 11-0.53 18 -0.44 20 -0.4 22 -0.36 25 -0.32 L7 23.03345 59.0796444 13-0.64 17 -0.53 19 -0.47 21 -0.43 24 -0.38 L8 -30.73602 -81.1141182 14-0.77 16 -0.63 18 -0.56 20 -0.5 23 -0.43 L9 16.24956 44.0046322 15-1.09 14 -0.86 16 -0.75 18 -0.67 21 -0.57 L10 -3.02257 -8.56359321 17-1.88 11 -1.36 13 -1.15 15 -1 18 -0.83 L11 0.95833 2.8709101 20-2.83 9 -1.89 11 -1.55 13 -1.31 16 -1.06 L12 -0.87050 -2.69073905 22-3.6 8 -2.25 10 -1.8 12 -1.5 15 -1.2 L13 0.46605 1.46130533 23

-10.5 5 -4.2 7 -3 9 -2.33 12 -1.75 L14 -0.04025 -0.13112604 261 3 -7.67 5 -4.6 7 -3.29 10 -2.3 L15 0.01020 0.0339745 28

8.667 0 1 2 -13 4 -6.5 7 -3.71 L16 -0.00119 -0.00407801 315.6 -2 14 0 1 2 -14 5 -5.6 L17 0.00026 0.0009225 33

4.286 -4 7.5 -2 15 0 1 3 -10 L18 -2.746E-05 -9.7621E-05 353.3 -7 4.714 -5 6.6 -3 11 0 1 L19 4.606E-07 1.67548E-06 38

1.609439

0.269 29 0.241 31 0.226 33 0.212 36 0.194 L0 9.925.E-05 6.87981E-05 20.24 28 0.214 30 0.2 32 0.188 35 0.171 L1 -9.567.E-04 -0.00105106 3

0.208 27 0.185 29 0.172 31 0.161 34 0.147 L2 0.00302 0.00418667 40.136 25 0.12 27 0.111 29 0.103 32 0.094 L3 -0.01858 -0.03329479 60.05 23 0.043 25 0.04 27 0.037 30 0.033 L4 0.27079 0.56309304 8-0.06 21 -0.05 23 -0.04 25 -0.04 28 -0.04 L5 1.81582 4.1810804 10-0.12 20 -0.1 22 -0.09 24 -0.08 27 -0.07 L6 -1.65583 -3.97050061 11-0.27 18 -0.22 20 -0.2 22 -0.18 25 -0.16 L7 1.92428 4.93568708 13-0.36 17 -0.29 19 -0.26 21 -0.24 24 -0.21 L8 -2.31100 -6.09886058 14-0.46 16 -0.38 18 -0.33 20 -0.3 23 -0.26 L9 1.13128 3.06356355 15-0.73 14 -0.57 16 -0.5 18 -0.44 21 -0.38 L10 -0.18939 -0.5365708 17-1.38 11 -1 13 -0.85 15 -0.73 18 -0.61 L11 0.05459 0.16353018 20-2.17 9 -1.44 11 -1.18 13 -1 16 -0.81 L12 -0.04755 -0.14697955 22-2.8 8 -1.75 10 -1.4 12 -1.17 15 -0.93 L13 0.02503 0.07848112 23-8.5 5 -3.4 7 -2.43 9 -1.89 12 -1.42 L14 -0.00208 -0.00676611 26

1 3 -6.33 5 -3.8 7 -2.71 10 -1.9 L15 5.156.E-04 0.00171794 287.333 0 1 2 -11 4 -5.5 7 -3.14 L16 -5.862.E-05 -0.00020132 31

4.8 -2 12 0 1 2 -12 5 -4.8 L17 1.286.E-05 4.49564E-05 333.714 -4 6.5 -2 13 0 1 3 -8.67 L18 -1.323.E-06 -4.7051E-06 35

2.9 -7 4.143 -5 5.8 -3 9.667 0 1 L19 2.189.E-08 7.96405E-08 382.19722

160.538 29 0.483 31 0.452 33 0.424 36 0.389 L0 -1.07703E-05 -7.4654E-06 20.52 28 0.464 30 0.433 32 0.406 35 0.371 L1 9.582964E-05 0.00010528 3

Page 44: Polinomial Newton

0.5 27 0.444 29 0.414 31 0.387 34 0.353 L2 -2.73.E-04 -0.00037859 40.455 25 0.4 27 0.37 29 0.345 32 0.313 L3 0.00121 0.00216773 6

0.4 23 0.348 25 0.32 27 0.296 30 0.267 L4 -0.00735 -0.01527561 80.333 21 0.286 23 0.261 25 0.24 28 0.214 L5 0.06568 0.15123271 100.294 20 0.25 22 0.227 24 0.208 27 0.185 L6 -0.14374 -0.34467813 11

0.2 18 0.167 20 0.15 22 0.136 25 0.12 L7 0.55682 1.42821907 130.143 17 0.118 19 0.105 21 0.095 24 0.083 L8 -1.25386 -3.30900321 140.077 16 0.063 18 0.056 20 0.05 23 0.043 L9 1.47309 3.98920743 15-0.09 14 -0.07 16 -0.06 18 -0.06 21 -0.05 L10 0.32881 0.93159146 17-0.5 11 -0.36 13 -0.31 15 -0.27 18 -0.22 L11 -0.03258 -0.09759759 20-1 9 -0.67 11 -0.55 13 -0.46 16 -0.38 L12 0.02236 0.06911264 22

-1.4 8 -0.88 10 -0.7 12 -0.58 15 -0.47 L13 -0.01086 -0.03406463 23-5 5 -2 7 -1.43 9 -1.11 12 -0.83 L14 0.00077 0.0024963 261 3 -4 5 -2.4 7 -1.71 10 -1.2 L15 -1.772.E-04 -0.00059032 285 0 1 2 -7.5 4 -3.75 7 -2.14 L16 1.866036E-05 6.40794E-05 31

3.4 -2 8.5 0 1 2 -8.5 5 -3.4 L17 -3.93938E-06 -1.3774E-05 332.714 -4 4.75 -2 9.5 0 1 3 -6.33 L18 3.930228E-07 1.39733E-06 35

2.2 -7 3.143 -5 4.4 -3 7.333 0 1 L19 -6.26332E-09 -2.2783E-08 382.77259

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7### 5 0 1 1 5 2 2.5 4 1.25 6 0.833 8 0.625 9 0.556 11### 4 -1 -4 0 1 1 4 3 1.333 5 0.8 7 0.571 8 0.5 10### 3 -2 -1.5 -1 -3 0 1 2 1.5 4 0.75 6 0.5 7 0.429 9### 1 -4 -0.25 -3 -0.33 -2 -0.5 0 1 2 0.5 4 0.25 5 0.2 7### -1 -6 0.167 -5 0.2 -4 0.25 -2 0.5 0 1 2 -0.5 3 -0.33 5### -3 -8 0.375 -7 0.429 -6 0.5 -4 0.75 -2 1.5 0 1 1 -3 3### -4 -9 0.444 -8 0.5 -7 0.571 -5 0.8 -3 1.333 -1 4 0 1 2### -6 -11 0.545 -10 0.6 -9 0.667 -7 0.857 -5 1.2 -3 2 -2 3 0### -7 -12 0.583 -11 0.636 -10 0.7 -8 0.875 -6 1.167 -4 1.75 -3 2.333 -1### -8 -13 0.615 -12 0.667 -11 0.727 -9 0.889 -7 1.143 -5 1.6 -4 2 -2### -10 -15 0.667 -14 0.714 -13 0.769 -11 0.909 -9 1.111 -7 1.429 -6 1.667 -4### -13 -18 0.722 -17 0.765 -16 0.813 -14 0.929 -12 1.083 -10 1.3 -9 1.444 -7### -15 -20 0.75 -19 0.789 -18 0.833 -16 0.938 -14 1.071 -12 1.25 -11 1.364 -9### -16 -21 0.762 -20 0.8 -19 0.842 -17 0.941 -15 1.067 -13 1.231 -12 1.333 -10### -19 -24 0.792 -23 0.826 -22 0.864 -20 0.95 -18 1.056 -16 1.188 -15 1.267 -13### -21 -26 0.808 -25 0.84 -24 0.875 -22 0.955 -20 1.05 -18 1.167 -17 1.235 -15### -24 -29 0.828 -28 0.857 -27 0.889 -25 0.96 -23 1.043 -21 1.143 -20 1.2 -18### -26 -31 0.839 -30 0.867 -29 0.897 -27 0.963 -25 1.04 -23 1.13 -22 1.182 -20### -28 -33 0.848 -32 0.875 -31 0.903 -29 0.966 -27 1.037 -25 1.12 -24 1.167 -22### -31 -36 0.861 -35 0.886 -34 0.912 -32 0.969 -30 1.033 -28 1.107 -27 1.148 -25

12### 10 0 1 1 10 2 5 4 2.5 6 1.667 8 1.25 9 1.111 11### 9 -1 -9 0 1 1 9 3 3 5 1.8 7 1.286 8 1.125 10### 8 -2 -4 -1 -8 0 1 2 4 4 2 6 1.333 7 1.143 9### 6 -4 -1.5 -3 -2 -2 -3 0 1 2 3 4 1.5 5 1.2 7### 4 -6 -0.67 -5 -0.8 -4 -1 -2 -2 0 1 2 2 3 1.333 5### 2 -8 -0.25 -7 -0.29 -6 -0.33 -4 -0.5 -2 -1 0 1 1 2 3### 1 -9 -0.11 -8 -0.13 -7 -0.14 -5 -0.2 -3 -0.33 -1 -1 0 1 2### -1 -11 0.091 -10 0.1 -9 0.111 -7 0.143 -5 0.2 -3 0.333 -2 0.5 0### -2 -12 0.167 -11 0.182 -10 0.2 -8 0.25 -6 0.333 -4 0.5 -3 0.667 -1### -3 -13 0.231 -12 0.25 -11 0.273 -9 0.333 -7 0.429 -5 0.6 -4 0.75 -2### -5 -15 0.333 -14 0.357 -13 0.385 -11 0.455 -9 0.556 -7 0.714 -6 0.833 -4### -8 -18 0.444 -17 0.471 -16 0.5 -14 0.571 -12 0.667 -10 0.8 -9 0.889 -7### -10 -20 0.5 -19 0.526 -18 0.556 -16 0.625 -14 0.714 -12 0.833 -11 0.909 -9### -11 -21 0.524 -20 0.55 -19 0.579 -17 0.647 -15 0.733 -13 0.846 -12 0.917 -10### -14 -24 0.583 -23 0.609 -22 0.636 -20 0.7 -18 0.778 -16 0.875 -15 0.933 -13### -16 -26 0.615 -25 0.64 -24 0.667 -22 0.727 -20 0.8 -18 0.889 -17 0.941 -15### -19 -29 0.655 -28 0.679 -27 0.704 -25 0.76 -23 0.826 -21 0.905 -20 0.95 -18### -21 -31 0.677 -30 0.7 -29 0.724 -27 0.778 -25 0.84 -23 0.913 -22 0.955 -20### -23 -33 0.697 -32 0.719 -31 0.742 -29 0.793 -27 0.852 -25 0.92 -24 0.958 -22### -26 -36 0.722 -35 0.743 -34 0.765 -32 0.813 -30 0.867 -28 0.929 -27 0.963 -25

18### 16 0 1 1 16 2 8 4 4 6 2.667 8 2 9 1.778 11### 15 -1 -15 0 1 1 15 3 5 5 3 7 2.143 8 1.875 10

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### 14 -2 -7 -1 -14 0 1 2 7 4 3.5 6 2.333 7 2 9### 12 -4 -3 -3 -4 -2 -6 0 1 2 6 4 3 5 2.4 7### 10 -6 -1.67 -5 -2 -4 -2.5 -2 -5 0 1 2 5 3 3.333 5### 8 -8 -1 -7 -1.14 -6 -1.33 -4 -2 -2 -4 0 1 1 8 3### 7 -9 -0.78 -8 -0.88 -7 -1 -5 -1.4 -3 -2.33 -1 -7 0 1 2### 5 -11 -0.45 -10 -0.5 -9 -0.56 -7 -0.71 -5 -1 -3 -1.67 -2 -2.5 0### 4 -12 -0.33 -11 -0.36 -10 -0.4 -8 -0.5 -6 -0.67 -4 -1 -3 -1.33 -1### 3 -13 -0.23 -12 -0.25 -11 -0.27 -9 -0.33 -7 -0.43 -5 -0.6 -4 -0.75 -2### 1 -15 -0.07 -14 -0.07 -13 -0.08 -11 -0.09 -9 -0.11 -7 -0.14 -6 -0.17 -4### -2 -18 0.111 -17 0.118 -16 0.125 -14 0.143 -12 0.167 -10 0.2 -9 0.222 -7### -4 -20 0.2 -19 0.211 -18 0.222 -16 0.25 -14 0.286 -12 0.333 -11 0.364 -9### -5 -21 0.238 -20 0.25 -19 0.263 -17 0.294 -15 0.333 -13 0.385 -12 0.417 -10### -8 -24 0.333 -23 0.348 -22 0.364 -20 0.4 -18 0.444 -16 0.5 -15 0.533 -13### -10 -26 0.385 -25 0.4 -24 0.417 -22 0.455 -20 0.5 -18 0.556 -17 0.588 -15### -13 -29 0.448 -28 0.464 -27 0.481 -25 0.52 -23 0.565 -21 0.619 -20 0.65 -18### -15 -31 0.484 -30 0.5 -29 0.517 -27 0.556 -25 0.6 -23 0.652 -22 0.682 -20### -17 -33 0.515 -32 0.531 -31 0.548 -29 0.586 -27 0.63 -25 0.68 -24 0.708 -22### -20 -36 0.556 -35 0.571 -34 0.588 -32 0.625 -30 0.667 -28 0.714 -27 0.741 -25

21

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70.455 12 0.417 13 0.385 15 0.333 18 0.278 20 0.25 21 0.238 24 0.208 26 0.192

0.4 11 0.364 12 0.333 14 0.286 17 0.235 19 0.211 20 0.2 23 0.174 25 0.160.333 10 0.3 11 0.273 13 0.231 16 0.188 18 0.167 19 0.158 22 0.136 24 0.1250.143 8 0.125 9 0.111 11 0.091 14 0.071 16 0.063 17 0.059 20 0.05 22 0.045-0.2 6 -0.17 7 -0.14 9 -0.11 12 -0.08 14 -0.07 15 -0.07 18 -0.06 20 -0.05-1 4 -0.75 5 -0.6 7 -0.43 10 -0.3 12 -0.25 13 -0.23 16 -0.19 18 -0.17-2 3 -1.33 4 -1 6 -0.67 9 -0.44 11 -0.36 12 -0.33 15 -0.27 17 -0.241 1 -6 2 -3 4 -1.5 7 -0.86 9 -0.67 10 -0.6 13 -0.46 15 -0.47 0 1 1 -7 3 -2.33 6 -1.17 8 -0.88 9 -0.78 12 -0.58 14 -0.54 -1 8 0 1 2 -4 5 -1.6 7 -1.14 8 -1 11 -0.73 13 -0.62

2.5 -3 3.333 -2 5 0 1 3 -3.33 5 -2 6 -1.67 9 -1.11 11 -0.911.857 -6 2.167 -5 2.6 -3 4.333 0 1 2 -6.5 3 -4.33 6 -2.17 8 -1.631.667 -8 1.875 -7 2.143 -5 3 -2 7.5 0 1 1 -15 4 -3.75 6 -2.5

1.6 -9 1.778 -8 2 -6 2.667 -3 5.333 -1 16 0 1 3 -5.33 5 -3.21.462 -12 1.583 -11 1.727 -9 2.111 -6 3.167 -4 4.75 -3 6.333 0 1 2 -9.5

1.4 -14 1.5 -13 1.615 -11 1.909 -8 2.625 -6 3.5 -5 4.2 -2 10.5 0 11.333 -17 1.412 -16 1.5 -14 1.714 -11 2.182 -9 2.667 -8 3 -5 4.8 -3 8

1.3 -19 1.368 -18 1.444 -16 1.625 -13 2 -11 2.364 -10 2.6 -7 3.714 -5 5.21.273 -21 1.333 -20 1.4 -18 1.556 -15 1.867 -13 2.154 -12 2.333 -9 3.111 -7 41.24 -24 1.292 -23 1.348 -21 1.476 -18 1.722 -16 1.938 -15 2.067 -12 2.583 -10 3.1

120.909 12 0.833 13 0.769 15 0.667 18 0.556 20 0.5 21 0.476 24 0.417 26 0.385

0.9 11 0.818 12 0.75 14 0.643 17 0.529 19 0.474 20 0.45 23 0.391 25 0.360.889 10 0.8 11 0.727 13 0.615 16 0.5 18 0.444 19 0.421 22 0.364 24 0.3330.857 8 0.75 9 0.667 11 0.545 14 0.429 16 0.375 17 0.353 20 0.3 22 0.273

0.8 6 0.667 7 0.571 9 0.444 12 0.333 14 0.286 15 0.267 18 0.222 20 0.20.667 4 0.5 5 0.4 7 0.286 10 0.2 12 0.167 13 0.154 16 0.125 18 0.111

0.5 3 0.333 4 0.25 6 0.167 9 0.111 11 0.091 12 0.083 15 0.067 17 0.0591 1 -1 2 -0.5 4 -0.25 7 -0.14 9 -0.11 10 -0.1 13 -0.08 15 -0.072 0 1 1 -2 3 -0.67 6 -0.33 8 -0.25 9 -0.22 12 -0.17 14 -0.14

1.5 -1 3 0 1 2 -1.5 5 -0.6 7 -0.43 8 -0.38 11 -0.27 13 -0.231.25 -3 1.667 -2 2.5 0 1 3 -1.67 5 -1 6 -0.83 9 -0.56 11 -0.45

1.143 -6 1.333 -5 1.6 -3 2.667 0 1 2 -4 3 -2.67 6 -1.33 8 -11.111 -8 1.25 -7 1.429 -5 2 -2 5 0 1 1 -10 4 -2.5 6 -1.67

1.1 -9 1.222 -8 1.375 -6 1.833 -3 3.667 -1 11 0 1 3 -3.67 5 -2.21.077 -12 1.167 -11 1.273 -9 1.556 -6 2.333 -4 3.5 -3 4.667 0 1 2 -71.067 -14 1.143 -13 1.231 -11 1.455 -8 2 -6 2.667 -5 3.2 -2 8 0 11.056 -17 1.118 -16 1.188 -14 1.357 -11 1.727 -9 2.111 -8 2.375 -5 3.8 -3 6.3331.05 -19 1.105 -18 1.167 -16 1.313 -13 1.615 -11 1.909 -10 2.1 -7 3 -5 4.2

1.045 -21 1.095 -20 1.15 -18 1.278 -15 1.533 -13 1.769 -12 1.917 -9 2.556 -7 3.2861.04 -24 1.083 -23 1.13 -21 1.238 -18 1.444 -16 1.625 -15 1.733 -12 2.167 -10 2.6

181.455 12 1.333 13 1.231 15 1.067 18 0.889 20 0.8 21 0.762 24 0.667 26 0.615

1.5 11 1.364 12 1.25 14 1.071 17 0.882 19 0.789 20 0.75 23 0.652 25 0.6

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1.556 10 1.4 11 1.273 13 1.077 16 0.875 18 0.778 19 0.737 22 0.636 24 0.5831.714 8 1.5 9 1.333 11 1.091 14 0.857 16 0.75 17 0.706 20 0.6 22 0.545

2 6 1.667 7 1.429 9 1.111 12 0.833 14 0.714 15 0.667 18 0.556 20 0.52.667 4 2 5 1.6 7 1.143 10 0.8 12 0.667 13 0.615 16 0.5 18 0.444

3.5 3 2.333 4 1.75 6 1.167 9 0.778 11 0.636 12 0.583 15 0.467 17 0.4121 1 5 2 2.5 4 1.25 7 0.714 9 0.556 10 0.5 13 0.385 15 0.333-4 0 1 1 4 3 1.333 6 0.667 8 0.5 9 0.444 12 0.333 14 0.286

-1.5 -1 -3 0 1 2 1.5 5 0.6 7 0.429 8 0.375 11 0.273 13 0.231-0.25 -3 -0.33 -2 -0.5 0 1 3 0.333 5 0.2 6 0.167 9 0.111 11 0.0910.286 -6 0.333 -5 0.4 -3 0.667 0 1 2 -1 3 -0.67 6 -0.33 8 -0.250.444 -8 0.5 -7 0.571 -5 0.8 -2 2 0 1 1 -4 4 -1 6 -0.67

0.5 -9 0.556 -8 0.625 -6 0.833 -3 1.667 -1 5 0 1 3 -1.67 5 -10.615 -12 0.667 -11 0.727 -9 0.889 -6 1.333 -4 2 -3 2.667 0 1 2 -40.667 -14 0.714 -13 0.769 -11 0.909 -8 1.25 -6 1.667 -5 2 -2 5 0 10.722 -17 0.765 -16 0.813 -14 0.929 -11 1.182 -9 1.444 -8 1.625 -5 2.6 -3 4.3330.75 -19 0.789 -18 0.833 -16 0.938 -13 1.154 -11 1.364 -10 1.5 -7 2.143 -5 3

0.773 -21 0.81 -20 0.85 -18 0.944 -15 1.133 -13 1.308 -12 1.417 -9 1.889 -7 2.4290.8 -24 0.833 -23 0.87 -21 0.952 -18 1.111 -16 1.25 -15 1.333 -12 1.667 -10 2

21

25

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Page 56: Polinomial Newton

729 0.172 31 0.161 33 0.152 36 0.139 L0 -0.00073 -0.000504528 0.143 30 0.133 32 0.125 35 0.114 L1 0.00752 0.0082586527 0.111 29 0.103 31 0.097 34 0.088 L2 -0.02637 -0.036551725 0.04 27 0.037 29 0.034 32 0.031 L3 0.29202 0.5232237723 -0.04 25 -0.04 27 -0.04 30 -0.03 L4 1.41848 2.9496473321 -0.14 23 -0.13 25 -0.12 28 -0.11 L5 -3.17060 -7.300577220 -0.2 22 -0.18 24 -0.17 27 -0.15 L6 4.33686 10.399326418 -0.33 20 -0.3 22 -0.27 25 -0.24 L7 -6.71997 -17.23638917 -0.41 19 -0.37 21 -0.33 24 -0.29 L8 8.64693 22.819735516 -0.5 18 -0.44 20 -0.4 23 -0.35 L9 -4.44448 -12.03588714 -0.71 16 -0.63 18 -0.56 21 -0.48 L10 0.79365 2.2485728411 -1.18 13 -1 15 -0.87 18 -0.72 L11 -0.24195 -0.72483179 -1.67 11 -1.36 13 -1.15 16 -0.94 L12 0.21587 0.66726598 -2 10 -1.6 12 -1.33 15 -1.07 L13 -0.11472 -0.35971885 -3.8 7 -2.71 9 -2.11 12 -1.58 L14 0.00973 0.031712053 -7 5 -4.2 7 -3 10 -2.1 L15 -0.00244 -0.0081420 1 2 -12 4 -6 7 -3.43 L16 0.00028 0.00096667-2 13 0 1 2 -13 5 -5.2 L17 -6.217E-05 -0.0002174-4 7 -2 14 0 1 3 -9.33 L18 6.437E-06 2.2886E-05-7 4.429 -5 6.2 -3 10.33 0 1 L19 -1.073E-07 -3.9027E-07

1.9459112

29 0.345 31 0.323 33 0.303 36 0.278 L0 1.088015E-05 7.5415E-0628 0.321 30 0.3 32 0.281 35 0.257 L1 -9.988E-05 -0.0001127 0.296 29 0.276 31 0.258 34 0.235 L2 0.00030 0.0004125 0.24 27 0.222 29 0.207 32 0.188 L3 -0.00145 -0.0026123 0.174 25 0.16 27 0.148 30 0.133 L4 0.01060 0.0220421 0.095 23 0.087 25 0.08 28 0.071 L5 -0.14218 -0.3273720 0.05 22 0.045 24 0.042 27 0.037 L6 0.51860 1.2435418 -0.06 20 -0.05 22 -0.05 25 -0.04 L7 1.20535 3.0916717 -0.12 19 -0.11 21 -0.1 24 -0.08 L8 -0.90474 -2.3876716 -0.19 18 -0.17 20 -0.15 23 -0.13 L9 0.35431 0.9595014 -0.36 16 -0.31 18 -0.28 21 -0.24 L10 -0.04745 -0.1344411 -0.73 13 -0.62 15 -0.53 18 -0.44 L11 0.01175 0.035219 -1.11 11 -0.91 13 -0.77 16 -0.63 L12 -0.00968 -0.029928 -1.38 10 -1.1 12 -0.92 15 -0.73 L13 0.00499 0.015645 -2.8 7 -2 9 -1.56 12 -1.17 L14 -0.00039 -0.001293 -5.33 5 -3.2 7 -2.29 10 -1.6 L15 9.587275E-05 0.000320 1 2 -9.5 4 -4.75 7 -2.71 L16 -1.06301E-05 -3.6503E-05-2 10.5 0 1 2 -10.5 5 -4.2 L17 2.301098E-06 8.0458E-06-4 5.75 -2 11.5 0 1 3 -7.67 L18 -2.34272E-07 -8.3292E-07-7 3.714 -5 5.2 -3 8.667 0 1 L19 3.824118E-09 1.3911E-08

2.4849118

29 0.552 31 0.516 33 0.485 36 0.444 L0 4.0081E-05 2.7782E-0528 0.536 30 0.5 32 0.469 35 0.429 L1 -3.532.E-04 -0.00039

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27 0.519 29 0.483 31 0.452 34 0.412 L2 9.956.E-04 0.0013825 0.48 27 0.444 29 0.414 32 0.375 L3 -0.00429 -0.0076823 0.435 25 0.4 27 0.37 30 0.333 L4 0.02499 0.0519721 0.381 23 0.348 25 0.32 28 0.286 L5 -0.20950 -0.4824020 0.35 22 0.318 24 0.292 27 0.259 L6 0.43667 1.0471018 0.278 20 0.25 22 0.227 25 0.2 L7 -1.42092 -3.6445817 0.235 19 0.211 21 0.19 24 0.167 L8 2.66636 7.0366916 0.188 18 0.167 20 0.15 23 0.13 L9 -2.08838 -5.6554414 0.071 16 0.063 18 0.056 21 0.048 L10 1.39845 3.9621111 -0.18 13 -0.15 15 -0.13 18 -0.11 L11 0.27712 0.830189 -0.44 11 -0.36 13 -0.31 16 -0.25 L12 -0.14264 -0.440918 -0.63 10 -0.5 12 -0.42 15 -0.33 L13 0.06469 0.202835 -1.6 7 -1.14 9 -0.89 12 -0.67 L14 -0.00407 -0.013273 -3.33 5 -2 7 -1.43 10 -1 L15 9.041.E-04 0.003010 1 2 -6.5 4 -3.25 7 -1.86 L16 -9.15734E-05 -0.0003145-2 7.5 0 1 2 -7.5 5 -3 L17 1.898832E-05 6.6393E-05-4 4.25 -2 8.5 0 1 3 -5.67 L18 -1.8682E-06 -6.6421E-06-7 2.857 -5 4 -3 6.667 0 1 L19 2.930206E-08 1.0659E-07

2.8903721

25

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