Контрольная работа Задача №1 интерполирование функций с помощью многочлена ньютона
Задание.
Дана таблица значений
функции
.
Построить для этой функции интерполяционный
многочлен Ньютона и с его помощью найти
приближенное значение функции для
заданного аргумента
.
|
№1.
|
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
0.740 |
0.532 |
0.801 |
1.13 |
0.749 |
|
|
№2. |
X |
2.5 |
3.0 |
3.5 |
4.0 |
4.5 |
|
|
Y |
0.912 |
0.755 |
0.96 |
0.524 |
0.574 |
|
|
№3. |
X |
5.0 |
5.5 |
6.0 |
6.5 |
7.0 |
|
|
Y |
0.741 |
0.848 |
0.809 |
0.854 |
0.801 |
|
|
№4. |
X |
4.0 |
4.5 |
5.0 |
5.5 |
6.0 |
|
|
Y |
0.567 |
0.759 |
0.991 |
1.57 |
0.532 |
|
|
№5. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
1.59 |
0.935 |
0.596 |
1.78 |
0.682 |
|
|
№6. |
X |
5.0 |
5.5 |
6.0 |
6.5 |
7.0 |
|
|
Y |
0.707 |
0.790 |
1.11 |
0.674 |
0.948 |
|
|
№7. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
0.751 |
0.964 |
0.927 |
0.780 |
0.585 |
|
|
№8. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
0.622 |
0.720 |
1.05 |
0.831 |
1.69 |
|
|
№9. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
0.814 |
0.749 |
0.789 |
0.979 |
0.682 |
|
|
№10. |
X |
1.0 |
1.5 |
2.0 |
2.5 |
3.0 |
|
|
Y |
0.865 |
1.83 |
0.521 |
0.889 |
0.800 |
|
|
№11. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
0.664 |
1.30 |
0.880 |
0.764 |
0.981 |
|
|
№12. |
X |
5.0 |
5.5 |
6.0 |
6.5 |
7.0 |
|
|
Y |
0.710 |
0.991 |
0.501 |
0.892 |
0.735 |
|
|
№13. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
0.964 |
0.714 |
0.644 |
0.674 |
1.04 |
|
|
№14. |
X |
4.0 |
4.5 |
5.0 |
5.5 |
6.0 |
|
|
Y |
0.892 |
0.760 |
1.26 |
0.585 |
1.74 |
|
|
№15. |
X |
4.0 |
4.5 |
5.0 |
5.5 |
6.0 |
|
|
Y |
0.778 |
1.17 |
0.933 |
0.772 |
0.836 |
|
|
№16. |
X |
4.5 |
5.0 |
5.5 |
6.0 |
6.5 |
|
|
Y |
1.01 |
0.726 |
0.798 |
0.569 |
0.842 |
|
|
№17. |
X |
5.0 |
5.5 |
6.0 |
6.5 |
7.0 |
|
|
Y |
0.770 |
0.825 |
1.35 |
0.775 |
1.79 |
|
|
№18. |
X |
4.0 |
4.5 |
5.0 |
5.5 |
6.0 |
|
|
Y |
0.671 |
0.969 |
0.667 |
0.589 |
0.922 |
|
|
№19. |
X |
5.0 |
5.5 |
6.0 |
6.5 |
7.0 |
|
|
Y |
0.594 |
0.601 |
0.840 |
0.517 |
1.94 |
|
|
№20. |
X |
3.0 |
3.5 |
4.0 |
4.5 |
5.0 |
|
|
Y |
1.19 |
0.671 |
0.542 |
0.750 |
0.775 |
|
