
- •Учебное издание
- •Введение
- •Содержание домашнего задания
- •Указания по оформлению домашней задания
- •Список литературы
- •Приложение 1
- •Приложение 2 Домашнее задание по курсу «Информатика, вычислительная техника и программирование».
- •Приложение 3
- •Приложение 4
- •2.1. Формула Тейлора
- •2.2. Приближение функций, заданных таблично
- •2.2.1. Интерполирование функций
- •2.2.2. Аппроксимация функций
- •Приложение 5
- •3.1. Формула трапеций
- •3.2. Формула Симпсона
- •3.3. Составные формулы
- •3.4. Практическая оценка погрешности численного интегрирования
- •3.5. Пример численного интегрирования функции
- •Приложение 6 Экзаменационные вопросы по курсу «Информатика и основы технологии программирования» (для металлургических специальностей)
- •Приложение 7 рекомендуемая литература
Приложение 1
Приложение 2 Домашнее задание по курсу «Информатика, вычислительная техника и программирование».
Записать функции форм для системы четырех равноотстоящих точек:
,
,
,
и построить их графики. Значение h взять из таблицы вариантов.
Для четырех равноотстоящих точек , , , найти коэффициенты соответствующей квадратурной формулы, использую кубические функции форм. Значение h взять из таблицы вариантов.
Найти значения интегралов
,
,
и объяснить их равенство с помощью графиков подынтегральных функций. Подобным образом объяснить точность формулы Симпсона для многочленов третей степени. Значение P взять из таблицы вариантов.
Найти численно интеграл
. Приемом Рунге оценить погрешность расчета. Сравнить результаты с действительными значениями, найденными аналитически. Значение f(x) взять из таблицы вариантов.
Найти наиболее точно интеграл от функций
и
, заданных в таблице, и определить погрешности. Построить графики функций и . Объяснить влияние количества точек на выбор формул численного интегрирования с последующей оценкой погрешности. Значение и взять из таблицы вариантов (Таблица).
Приложение 3
Таблица вариантов
Вариант № |
1 |
|
|
|
|
|
|
|
|
|
x |
1,1181 |
1,3281 |
1,5381 |
1,7481 |
1,9581 |
2,1681 |
2,3781 |
2,5881 |
Таблица |
F(x) |
1,6133 |
1,7166 |
1,8266 |
1,9435 |
2,0680 |
2,2004 |
2,3413 |
2,4913 |
|
Q(x) |
1,3917 |
1,4808 |
1,5756 |
1,6765 |
|
|
|
|
h = |
1,839883 |
P = |
3 |
f(x) = |
cos(x+ |
0,9069 |
) |
|
|
Вариант № |
2 |
|
|
|
|
|
|
|
|
|
x |
1,4605 |
1,6705 |
1,8805 |
2,0905 |
2,3005 |
2,5105 |
2,7205 |
2,9305 |
Таблица |
F(x) |
1,7851 |
1,8994 |
2,0211 |
2,1505 |
2,2882 |
2,4348 |
2,5907 |
2,7566 |
|
Q(x) |
1,5399 |
1,6385 |
1,7434 |
1,8551 |
|
|
|
|
h = |
1,408357 |
P = |
8 |
f(x) = |
cos(x+ |
0,5715 |
) |
|
|
Вариант № |
3 |
|
|
|
|
|
|
|
|
|
x |
1,1766 |
1,3866 |
1,5966 |
1,8066 |
2,0166 |
2,2266 |
2,4366 |
2,6466 |
Таблица |
F(x) |
1,6414 |
1,7465 |
1,8584 |
1,9774 |
2,1040 |
2,2388 |
2,3821 |
2,5347 |
|
Q(x) |
1,4159 |
1,5066 |
1,6031 |
1,7057 |
|
|
|
|
h = |
0,835029 |
P = |
5 |
f(x) = |
cos(x+ |
1,5358 |
) |
|
|
Вариант № |
4 |
|
|
|
|
|
|
|
|
|
x |
1,4068 |
1,6168 |
1,8268 |
2,0368 |
2,2468 |
2,4568 |
2,6668 |
2,8768 |
Таблица |
F(x) |
1,7570 |
1,8695 |
1,9893 |
2,1167 |
2,2522 |
2,3964 |
2,5499 |
2,7132 |
|
Q(x) |
1,5156 |
1,6127 |
1,7160 |
1,8258 |
|
|
|
|
h = |
0,011921 |
P = |
6 |
f(x) = |
cos(x+ |
0,3038 |
) |
|
|
Вариант № |
5 |
|
|
|
|
|
|
|
|
|
x |
0,8415 |
1,0515 |
1,2615 |
1,4715 |
1,6815 |
1,8915 |
2,1015 |
2,3115 |
Таблица |
F(x) |
1,4867 |
1,5819 |
1,6832 |
1,7910 |
1,9056 |
2,0277 |
2,1575 |
2,2957 |
|
Q(x) |
1,2824 |
1,3645 |
1,4519 |
1,5449 |
|
|
|
|
h = |
0,824588 |
P = |
4 |
f(x) = |
cos(x+ |
1,0782 |
) |
|
|
Вариант № |
6 |
|
|
|
|
|
|
|
|
|
x |
1,4421 |
1,6521 |
1,8621 |
2,0721 |
2,2821 |
2,4921 |
2,7021 |
2,9121 |
Таблица |
F(x) |
1,7754 |
1,8891 |
2,0101 |
2,1388 |
2,2758 |
2,4215 |
2,5766 |
2,7416 |
|
Q(x) |
1,5315 |
1,6296 |
1,7339 |
1,8450 |
|
|
|
|
h = |
0,896348 |
P = |
10 |
f(x) = |
cos(x+ |
0,2762 |
) |
|
|
Вариант № |
7 |
|
|
|
|
|
|
|
|
|
x |
0,9091 |
1,1191 |
1,3291 |
1,5391 |
1,7491 |
1,9591 |
2,1691 |
2,3791 |
Таблица |
F(x) |
1,5167 |
1,6138 |
1,7171 |
1,8271 |
1,9441 |
2,0686 |
2,2011 |
2,3420 |
|
Q(x) |
1,3083 |
1,3921 |
1,4812 |
1,5761 |
|
|
|
|
h = |
1,902326 |
P = |
9 |
f(x) = |
cos(x+ |
1,4401 |
) |
|
|
Вариант № |
8 |
|
|
|
|
|
|
|
|
|
x |
1,0688 |
1,2788 |
1,4888 |
1,6988 |
1,9088 |
2,1188 |
2,3288 |
2,5388 |
Таблица |
F(x) |
1,5900 |
1,6918 |
1,8001 |
1,9154 |
2,0381 |
2,1686 |
2,3075 |
2,4552 |
|
Q(x) |
1,3715 |
1,4594 |
1,5528 |
1,6523 |
|
|
|
|
h = |
0,662986 |
P = |
0 |
f(x) = |
cos(x+ |
0,4365 |
) |
|
|
Вариант № |
9 |
|
|
|
|
|
|
|
|
|
x |
0,7761 |
0,9861 |
1,1961 |
1,4061 |
1,6161 |
1,8261 |
2,0361 |
2,2461 |
Таблица |
F(x) |
1,4582 |
1,5516 |
1,6509 |
1,7567 |
1,8692 |
1,9889 |
2,1162 |
2,2517 |
|
Q(x) |
1,2578 |
1,3384 |
1,4241 |
1,5153 |
|
|
|
|
h = |
0,952394 |
P = |
5 |
f(x) = |
cos(x+ |
0,5167 |
) |
|
|
Вариант № |
10 |
|
|
|
|
|
|
|
|
|
x |
1,1953 |
1,4053 |
1,6153 |
1,8253 |
2,0353 |
2,2453 |
2,4553 |
2,6653 |
Таблица |
F(x) |
1,6505 |
1,7562 |
1,8687 |
1,9884 |
2,1157 |
2,2512 |
2,3954 |
2,5488 |
|
Q(x) |
1,4238 |
1,5150 |
1,6120 |
1,7152 |
|
|
|
|
h = |
0,71892 |
P = |
5 |
f(x) = |
cos(x+ |
0,3318 |
) |
|
|
Вариант № |
11 |
|
|
|
|
|
|
|
|
|
x |
1,2269 |
1,4369 |
1,6469 |
1,8569 |
2,0669 |
2,2769 |
2,4869 |
2,6969 |
Таблица |
F(x) |
1,6660 |
1,7727 |
1,8862 |
2,0070 |
2,1355 |
2,2723 |
2,4178 |
2,5727 |
|
Q(x) |
1,4371 |
1,5292 |
1,6271 |
1,7313 |
|
|
|
|
h = |
0,286175 |
P = |
8 |
f(x) = |
cos(x+ |
1,2009 |
) |
|
|
Вариант № |
12 |
|
|
|
|
|
|
|
|
|
x |
1,1079 |
1,3179 |
1,5279 |
1,7379 |
1,9479 |
2,1579 |
2,3679 |
2,5779 |
Таблица |
F(x) |
1,6084 |
1,7115 |
1,8211 |
1,9377 |
2,0618 |
2,1938 |
2,3343 |
2,4838 |
|
Q(x) |
1,3875 |
1,4763 |
1,5709 |
1,6715 |
|
|
|
|
h = |
1,408508 |
P = |
8 |
f(x) = |
cos(x+ |
1,5402 |
) |
|
|
Вариант № |
13 |
|
|
|
|
|
|
|
|
|
x |
0,8068 |
1,0168 |
1,2268 |
1,4368 |
1,6468 |
1,8568 |
2,0668 |
2,2768 |
Таблица |
F(x) |
1,4715 |
1,5657 |
1,6660 |
1,7726 |
1,8862 |
2,0070 |
2,1355 |
2,2722 |
|
Q(x) |
1,2693 |
1,3506 |
1,4371 |
1,5291 |
|
|
|
|
h = |
0,78445 |
P = |
8 |
f(x) = |
cos(x+ |
0,2972 |
) |
|
|
Вариант № |
14 |
|
|
|
|
|
|
|
|
|
x |
0,5932 |
0,8032 |
1,0132 |
1,2232 |
1,4332 |
1,6432 |
1,8532 |
2,0632 |
Таблица |
F(x) |
1,3815 |
1,4699 |
1,5641 |
1,6642 |
1,7708 |
1,8842 |
2,0049 |
2,1333 |
|
Q(x) |
1,1917 |
1,2680 |
1,3492 |
1,4356 |
|
|
|
|
h = |
0,030659 |
P = |
10 |
f(x) = |
cos(x+ |
1,4614 |
) |
|
|
Вариант № |
15 |
|
|
|
|
|
|
|
|
|
x |
0,9406 |
1,1506 |
1,3606 |
1,5706 |
1,7806 |
1,9906 |
2,2006 |
2,4106 |
Таблица |
F(x) |
1,5308 |
1,6289 |
1,7332 |
1,8442 |
1,9623 |
2,0879 |
2,2216 |
2,3639 |
|
Q(x) |
1,3205 |
1,4051 |
1,4950 |
1,5908 |
|
|
|
|
h = |
0,265326 |
P = |
7 |
f(x) = |
cos(x+ |
0,6452 |
) |
|
|
Вариант № |
16 |
|
|
|
|
|
|
|
|
|
x |
0,8038 |
1,0138 |
1,2238 |
1,4338 |
1,6438 |
1,8538 |
2,0638 |
2,2738 |
Таблица |
F(x) |
1,4702 |
1,5643 |
1,6645 |
1,7711 |
1,8845 |
2,0052 |
2,1336 |
2,2703 |
|
Q(x) |
1,2682 |
1,3494 |
1,4358 |
1,5278 |
|
|
|
|
h = |
1,051323 |
P = |
3 |
f(x) = |
cos(x+ |
1,1825 |
) |
|
|
Вариант № |
17 |
|
|
|
|
|
|
|
|
|
x |
0,9166 |
1,1266 |
1,3366 |
1,5466 |
1,7566 |
1,9666 |
2,1766 |
2,3866 |
Таблица |
F(x) |
1,5200 |
1,6174 |
1,7209 |
1,8311 |
1,9484 |
2,0732 |
2,2060 |
2,3472 |
|
Q(x) |
1,3112 |
1,3952 |
1,4845 |
1,5796 |
|
|
|
|
h = |
1,629803 |
P = |
8 |
f(x) = |
cos(x+ |
0,8598 |
) |
|
|
Вариант № |
18 |
|
|
|
|
|
|
|
|
|
x |
0,8387 |
1,0487 |
1,2587 |
1,4687 |
1,6787 |
1,8887 |
2,0987 |
2,3087 |
Таблица |
F(x) |
1,4854 |
1,5805 |
1,6818 |
1,7895 |
1,9041 |
2,0260 |
2,1557 |
2,2938 |
|
Q(x) |
1,2813 |
1,3634 |
1,4507 |
1,5436 |
|
|
|
|
h = |
0,784099 |
P = |
1 |
f(x) = |
cos(x+ |
1,3779 |
) |
|
|
Вариант № |
19 |
|
|
|
|
|
|
|
|
|
x |
0,7905 |
1,0005 |
1,2105 |
1,4205 |
1,6305 |
1,8405 |
2,0505 |
2,2605 |
Таблица |
F(x) |
1,4644 |
1,5582 |
1,6580 |
1,7641 |
1,8771 |
1,9973 |
2,1252 |
2,2613 |
|
Q(x) |
1,2632 |
1,3441 |
1,4302 |
1,5218 |
|
|
|
|
h = |
1,384323 |
P = |
6 |
f(x) = |
cos(x+ |
0,6904 |
) |
|
|
Вариант № |
20 |
|
|
|
|
|
|
|
|
|
x |
1,4342 |
1,6442 |
1,8542 |
2,0642 |
2,2742 |
2,4842 |
2,6942 |
2,9042 |
Таблица |
F(x) |
1,7713 |
1,8847 |
2,0054 |
2,1339 |
2,2705 |
2,4159 |
2,5706 |
2,7353 |
|
Q(x) |
1,5280 |
1,6258 |
1,7299 |
1,8407 |
|
|
|
|
h = |
0,45377 |
P = |
4 |
f(x) = |
cos(x+ |
0,5246 |
) |
|
|
Вариант № |
21 |
|
|
|
|
|
|
|
|
|
x |
0,7225 |
0,9325 |
1,1425 |
1,3525 |
1,5625 |
1,7725 |
1,9825 |
2,1925 |
Таблица |
F(x) |
1,4353 |
1,5272 |
1,6250 |
1,7290 |
1,8398 |
1,9576 |
2,0829 |
2,2163 |
|
Q(x) |
1,2381 |
1,3174 |
1,4017 |
1,4915 |
|
|
|
|
h = |
0,713402 |
P = |
7 |
f(x) = |
cos(x+ |
0,1993 |
) |
|
|
Вариант № |
22 |
|
|
|
|
|
|
|
|
|
x |
0,8888 |
1,0988 |
1,3088 |
1,5188 |
1,7288 |
1,9388 |
2,1488 |
2,3588 |
Таблица |
F(x) |
1,5076 |
1,6041 |
1,7069 |
1,8162 |
1,9325 |
2,0562 |
2,1879 |
2,3280 |
|
Q(x) |
1,3005 |
1,3838 |
1,4724 |
1,5667 |
|
|
|
|
h = |
0,853556 |
P = |
8 |
f(x) = |
cos(x+ |
0,2589 |
) |
|
|
Вариант № |
23 |
|
|
|
|
|
|
|
|
|
x |
0,6769 |
0,8869 |
1,0969 |
1,3069 |
1,5169 |
1,7269 |
1,9369 |
2,1469 |
Таблица |
F(x) |
1,4160 |
1,5067 |
1,6032 |
1,7059 |
1,8151 |
1,9314 |
2,0550 |
2,1866 |
|
Q(x) |
1,2215 |
1,2997 |
1,3829 |
1,4715 |
|
|
|
|
h = |
1,601668 |
P = |
1 |
f(x) = |
cos(x+ |
0,7535 |
) |
|
|
Вариант № |
24 |
|
|
|
|
|
|
|
|
|
x |
0,9197 |
1,1297 |
1,3397 |
1,5497 |
1,7597 |
1,9697 |
2,1797 |
2,3897 |
Таблица |
F(x) |
1,5214 |
1,6188 |
1,7225 |
1,8328 |
1,9502 |
2,0751 |
2,2080 |
2,3494 |
|
Q(x) |
1,3124 |
1,3964 |
1,4859 |
1,5810 |
|
|
|
|
h = |
0,365538 |
P = |
4 |
f(x) = |
cos(x+ |
0,4752 |
) |
|
|
Вариант № |
25 |
|
|
|
|
|
|
|
|
|
x |
0,5548 |
0,7648 |
0,9748 |
1,1848 |
1,3948 |
1,6048 |
1,8148 |
2,0248 |
Таблица |
F(x) |
1,3659 |
1,4533 |
1,5464 |
1,6454 |
1,7508 |
1,8629 |
1,9822 |
2,1092 |
|
Q(x) |
1,1782 |
1,2537 |
1,3339 |
1,4194 |
|
|
|
|
h = |
1,918589 |
P = |
2 |
f(x) = |
cos(x+ |
0,6660 |
) |
|
|
Вариант № |
26 |
|
|
|
|
|
|
|
|
|
x |
0,6622 |
0,8722 |
1,0822 |
1,2922 |
1,5022 |
1,7122 |
1,9222 |
2,1322 |
Таблица |
F(x) |
1,4099 |
1,5002 |
1,5963 |
1,6985 |
1,8073 |
1,9230 |
2,0462 |
2,1772 |
|
Q(x) |
1,2162 |
1,2941 |
1,3770 |
1,4652 |
|
|
|
|
h = |
0,966023 |
P = |
2 |
f(x) = |
cos(x+ |
0,4516 |
) |
|
|
Вариант № |
27 |
|
|
|
|
|
|
|
|
|
x |
0,9404 |
1,1504 |
1,3604 |
1,5704 |
1,7804 |
1,9904 |
2,2004 |
2,4104 |
Таблица |
F(x) |
1,5308 |
1,6288 |
1,7331 |
1,8441 |
1,9622 |
2,0878 |
2,2215 |
2,3638 |
|
Q(x) |
1,3205 |
1,4050 |
1,4950 |
1,5907 |
|
|
|
|
h = |
1,494901 |
P = |
6 |
f(x) = |
cos(x+ |
0,1236 |
) |
|
|
Вариант № |
28 |
|
|
|
|
|
|
|
|
|
x |
0,7286 |
0,9386 |
1,1486 |
1,3586 |
1,5686 |
1,7786 |
1,9886 |
2,1986 |
Таблица |
F(x) |
1,4379 |
1,5299 |
1,6279 |
1,7322 |
1,8431 |
1,9611 |
2,0867 |
2,2204 |
|
Q(x) |
1,2403 |
1,3198 |
1,4043 |
1,4942 |
|
|
|
|
h = |
0,492767 |
P = |
9 |
f(x) = |
cos(x+ |
0,8071 |
) |
|
|
Вариант № |
29 |
|
|
|
|
|
|
|
|
|
x |
0,9700 |
1,1800 |
1,3900 |
1,6000 |
1,8100 |
2,0200 |
2,2300 |
2,4400 |
Таблица |
F(x) |
1,5442 |
1,6431 |
1,7483 |
1,8603 |
1,9794 |
2,1062 |
2,2411 |
2,3846 |
|
Q(x) |
1,3321 |
1,4174 |
1,5081 |
1,6047 |
|
|
|
|
h = |
1,909461 |
P = |
7 |
f(x) = |
cos(x+ |
1,3064 |
) |
|
|
Вариант № |
30 |
|
|
|
|
|
|
|
|
|
x |
0,6657 |
0,8757 |
1,0857 |
1,2957 |
1,5057 |
1,7157 |
1,9257 |
2,1357 |
Таблица |
F(x) |
1,4114 |
1,5018 |
1,5979 |
1,7003 |
1,8092 |
1,9250 |
2,0483 |
2,1795 |
|
Q(x) |
1,2175 |
1,2954 |
1,3784 |
1,4667 |
|
|
|
|
h = |
1,057709 |
P = |
2 |
f(x) = |
cos(x+ |
1,1174 |
) |
|
|
Вариант № |
31 |
|
|
|
|
|
|
|
|
|
x |
0,6652 |
0,8752 |
1,0852 |
1,2952 |
1,5052 |
1,7152 |
1,9252 |
2,1352 |
Таблица |
F(x) |
1,4111 |
1,5015 |
1,5977 |
1,7000 |
1,8088 |
1,9247 |
2,0479 |
2,1791 |
|
Q(x) |
1,2173 |
1,2952 |
1,3782 |
1,4664 |
|
|
|
|
h = |
0,731484 |
P = |
2 |
f(x) = |
cos(x+ |
0,6468 |
) |
|
|
Вариант № |
32 |
|
|
|
|
|
|
|
|
|
x |
1,1196 |
1,3296 |
1,5396 |
1,7496 |
1,9596 |
2,1696 |
2,3796 |
2,5896 |
Таблица |
F(x) |
1,6140 |
1,7174 |
1,8273 |
1,9444 |
2,0689 |
2,2014 |
2,3423 |
2,4923 |
|
Q(x) |
1,3923 |
1,4814 |
1,5763 |
1,6772 |
|
|
|
|
h = |
0,489876 |
P = |
9 |
f(x) = |
cos(x+ |
1,1920 |
) |
|
|
Вариант № |
33 |
|
|
|
|
|
|
|
|
|
x |
1,4257 |
1,6357 |
1,8457 |
2,0557 |
2,2657 |
2,4757 |
2,6857 |
2,8957 |
Таблица |
F(x) |
1,7669 |
1,8800 |
2,0004 |
2,1285 |
2,2648 |
2,4099 |
2,5642 |
2,7284 |
|
Q(x) |
1,5241 |
1,6217 |
1,7256 |
1,8361 |
|
|
|
|
h = |
1,434281 |
P = |
3 |
f(x) = |
cos(x+ |
0,2512 |
) |
|
|
Вариант № |
34 |
|
|
|
|
|
|
|
|
|
x |
1,5058 |
1,7158 |
1,9258 |
2,1358 |
2,3458 |
2,5558 |
2,7658 |
2,9758 |
Таблица |
F(x) |
1,8092 |
1,9251 |
2,0484 |
2,1795 |
2,3191 |
2,4676 |
2,6256 |
2,7938 |
|
Q(x) |
1,5606 |
1,6606 |
1,7669 |
1,8801 |
|
|
|
|
h = |
0,334075 |
P = |
6 |
f(x) = |
cos(x+ |
0,5830 |
) |
|
|
Вариант № |
35 |
|
|
|
|
|
|
|
|
|
x |
0,9971 |
1,2071 |
1,4171 |
1,6271 |
1,8371 |
2,0471 |
2,2571 |
2,4671 |
Таблица |
F(x) |
1,5566 |
1,6563 |
1,7624 |
1,8752 |
1,9953 |
2,1231 |
2,2590 |
2,4037 |
|
Q(x) |
1,3427 |
1,4287 |
1,5202 |
1,6176 |
|
|
|
|
h = |
0,322442 |
P = |
8 |
f(x) = |
cos(x+ |
0,2302 |
) |
|
|
Вариант № |
36 |
|
|
|
|
|
|
|
|
|
x |
1,2527 |
1,4627 |
1,6727 |
1,8827 |
2,0927 |
2,3027 |
2,5127 |
2,7227 |
Таблица |
F(x) |
1,6788 |
1,7863 |
1,9007 |
2,0224 |
2,1519 |
2,2897 |
2,4363 |
2,5924 |
|
Q(x) |
1,4481 |
1,5409 |
1,6395 |
1,7445 |
|
|
|
|
h = |
0,037261 |
P = |
7 |
f(x) = |
cos(x+ |
0,5871 |
) |
|
|
Вариант № |
37 |
|
|
|
|
|
|
|
|
|
x |
0,6811 |
0,8911 |
1,1011 |
1,3111 |
1,5211 |
1,7311 |
1,9411 |
2,1511 |
Таблица |
F(x) |
1,4178 |
1,5086 |
1,6052 |
1,7080 |
1,8174 |
1,9338 |
2,0576 |
2,1894 |
|
Q(x) |
1,2230 |
1,3013 |
1,3847 |
1,4733 |
|
|
|
|
h = |
0,679196 |
P = |
4 |
f(x) = |
cos(x+ |
1,4456 |
) |
|
|
Вариант № |
38 |
|
|
|
|
|
|
|
|
|
x |
0,8960 |
1,1060 |
1,3160 |
1,5260 |
1,7360 |
1,9460 |
2,1560 |
2,3660 |
Таблица |
F(x) |
1,5108 |
1,6075 |
1,7105 |
1,8200 |
1,9366 |
2,0606 |
2,1926 |
2,3330 |
|
Q(x) |
1,3032 |
1,3867 |
1,4755 |
1,5700 |
|
|
|
|
h = |
0,157975 |
P = |
4 |
f(x) = |
cos(x+ |
1,4105 |
) |
|
|
Вариант № |
39 |
|
|
|
|
|
|
|
|
|
x |
1,2356 |
1,4456 |
1,6556 |
1,8656 |
2,0756 |
2,2856 |
2,4956 |
2,7056 |
Таблица |
F(x) |
1,6703 |
1,7773 |
1,8911 |
2,0122 |
2,1411 |
2,2782 |
2,4241 |
2,5793 |
|
Q(x) |
1,4408 |
1,5331 |
1,6313 |
1,7357 |
|
|
|
|
h = |
0,38839 |
P = |
0 |
f(x) = |
cos(x+ |
1,4904 |
) |
|
|
Вариант № |
40 |
|
|
|
|
|
|
|
|
|
x |
1,2450 |
1,4550 |
1,6650 |
1,8750 |
2,0850 |
2,2950 |
2,5050 |
2,7150 |
Таблица |
F(x) |
1,6750 |
1,7822 |
1,8964 |
2,0178 |
2,1470 |
2,2845 |
2,4308 |
2,5865 |
|
Q(x) |
1,4448 |
1,5374 |
1,6358 |
1,7406 |
|
|
|
|
h = |
0,190829 |
P = |
6 |
f(x) = |
cos(x+ |
1,3626 |
) |
|
|
Вариант № |
41 |
|
|
|
|
|
|
|
|
|
x |
1,1732 |
1,3832 |
1,5932 |
1,8032 |
2,0132 |
2,2232 |
2,4332 |
2,6432 |
Таблица |
F(x) |
1,6398 |
1,7448 |
1,8566 |
1,9755 |
2,1020 |
2,2366 |
2,3798 |
2,5322 |
|
Q(x) |
1,4145 |
1,5051 |
1,6015 |
1,7040 |
|
|
|
|
h = |
0,52984 |
P = |
9 |
f(x) = |
cos(x+ |
1,0577 |
) |
|
|
Вариант № |
42 |
|
|
|
|
|
|
|
|
|
x |
1,0659 |
1,2759 |
1,4859 |
1,6959 |
1,9059 |
2,1159 |
2,3259 |
2,5359 |
Таблица |
F(x) |
1,5886 |
1,6903 |
1,7986 |
1,9138 |
2,0363 |
2,1667 |
2,3055 |
2,4531 |
|
Q(x) |
1,3703 |
1,4581 |
1,5515 |
1,6508 |
|
|
|
|
h = |
0,511592 |
P = |
4 |
f(x) = |
cos(x+ |
1,3992 |
) |
|
|
Вариант № |
43 |
|
|
|
|
|
|
|
|
|
x |
0,6029 |
0,8129 |
1,0229 |
1,2329 |
1,4429 |
1,6529 |
1,8629 |
2,0729 |
Таблица |
F(x) |
1,3854 |
1,4741 |
1,5685 |
1,6690 |
1,7759 |
1,8896 |
2,0106 |
2,1394 |
|
Q(x) |
1,1951 |
1,2716 |
1,3530 |
1,4397 |
|
|
|
|
h = |
1,188859 |
P = |
9 |
f(x) = |
cos(x+ |
0,3225 |
) |
|
|
Вариант № |
44 |
|
|
|
|
|
|
|
|
|
x |
0,8226 |
1,0326 |
1,2426 |
1,4526 |
1,6626 |
1,8726 |
2,0826 |
2,2926 |
Таблица |
F(x) |
1,4784 |
1,5731 |
1,6738 |
1,7810 |
1,8950 |
2,0164 |
2,1455 |
2,2829 |
|
Q(x) |
1,2753 |
1,3569 |
1,4438 |
1,5363 |
|
|
|
|
h = |
1,57002 |
P = |
9 |
f(x) = |
cos(x+ |
0,4714 |
) |
|
|
Вариант № |
45 |
|
|
|
|
|
|
|
|
|
x |
0,6553 |
0,8653 |
1,0753 |
1,2853 |
1,4953 |
1,7053 |
1,9153 |
2,1253 |
Таблица |
F(x) |
1,4071 |
1,4972 |
1,5930 |
1,6951 |
1,8036 |
1,9191 |
2,0420 |
2,1728 |
|
Q(x) |
1,2137 |
1,2915 |
1,3742 |
1,4622 |
|
|
|
|
h = |
0,532724 |
P = |
10 |
f(x) = |
cos(x+ |
0,5882 |
) |
|
|
Вариант № |
46 |
|
|
|
|
|
|
|
|
|
x |
1,2818 |
1,4918 |
1,7018 |
1,9118 |
2,1218 |
2,3318 |
2,5418 |
2,7518 |
Таблица |
F(x) |
1,6933 |
1,8017 |
1,9171 |
2,0399 |
2,1705 |
2,3095 |
2,4574 |
2,6148 |
|
Q(x) |
1,4607 |
1,5542 |
1,6537 |
1,7596 |
|
|
|
|
h = |
1,53159 |
P = |
5 |
f(x) = |
cos(x+ |
1,5440 |
) |
|
|
Вариант № |
47 |
|
|
|
|
|
|
|
|
|
x |
1,4353 |
1,6453 |
1,8553 |
2,0653 |
2,2753 |
2,4853 |
2,6953 |
2,9053 |
Таблица |
F(x) |
1,7719 |
1,8854 |
2,0061 |
2,1346 |
2,2713 |
2,4167 |
2,5715 |
2,7361 |
|
Q(x) |
1,5284 |
1,6263 |
1,7305 |
1,8413 |
|
|
|
|
h = |
1,316842 |
P = |
6 |
f(x) = |
cos(x+ |
0,9866 |
) |
|
|
Вариант № |
48 |
|
|
|
|
|
|
|
|
|
x |
0,7804 |
0,9904 |
1,2004 |
1,4104 |
1,6204 |
1,8304 |
2,0404 |
2,2504 |
Таблица |
F(x) |
1,4601 |
1,5536 |
1,6530 |
1,7589 |
1,8715 |
1,9914 |
2,1189 |
2,2546 |
|
Q(x) |
1,2595 |
1,3401 |
1,4259 |
1,5173 |
|
|
|
|
h = |
1,415366 |
P = |
7 |
f(x) = |
cos(x+ |
1,5491 |
) |
|
|
Вариант № |
49 |
|
|
|
|
|
|
|
|
|
x |
0,6346 |
0,8446 |
1,0546 |
1,2646 |
1,4746 |
1,6846 |
1,8946 |
2,1046 |
Таблица |
F(x) |
1,3985 |
1,4880 |
1,5833 |
1,6847 |
1,7926 |
1,9074 |
2,0295 |
2,1595 |
|
Q(x) |
1,2063 |
1,2836 |
1,3658 |
1,4532 |
|
|
|
|
h = |
0,705817 |
P = |
1 |
f(x) = |
cos(x+ |
1,4635 |
) |
|
|
Вариант № |
50 |
|
|
|
|
|
|
|
|
|
x |
1,2755 |
1,4855 |
1,6955 |
1,9055 |
2,1155 |
2,3255 |
2,5355 |
2,7455 |
Таблица |
F(x) |
1,6901 |
1,7984 |
1,9136 |
2,0361 |
2,1665 |
2,3052 |
2,4529 |
2,6099 |
|
Q(x) |
1,4579 |
1,5513 |
1,6507 |
1,7564 |
|
|
|
|
h = |
1,325772 |
P = |
6 |
f(x) = |
cos(x+ |
1,2786 |
) |
|
|