Если значения функции заданы в точках с постоянным положительным шагом, то часто используется интерполяционный многочлен Ньютона для интерполяции вперед
, (1.10)
где , а конечные разности , носящие названия нисходящих разностей, находят из соотношений
,
.
Интерполяционный многочлен (1.10) удобно использовать при работе в начале таблицы значений функции и для экстраполяции левее точки .
Интерполяционный многочлен с узлами где , имеет вид
(1.11)
и называется интерполяционным многочленом Ньютона для интерполяции назад. Его удобно использовать при интерполяции в конце таблицы и для экстраполяции правее точки . Входящие в выражение (1.11) значения конечных восходящих разностей находят из соотношений
,
..............................................
.
Если при заданном в таблице значений функции с шагом имеется достаточное число узлов с каждой стороны от , то целесообразно узлы интерполяции выбрать так, чтобы точка оказалась как можно ближе к середине минимального отрезка, содержащего узлы. При этом обычно в качестве берется ближайший к узел, затем за принимается ближайший к узел, расположенный с противоположной от стороны, чем . Следующие узлы назначаются поочередно с разных сторон от и должны быть расположены как можно ближе к . Одной из возможных схем интерполяции в этом случае является схема Стирлинга с интерполяционным многочленом вида
В этом выражении учитывается, что дано нечетное число значений функции , где . Обычно эту формулу целесообразно использовать при .
Лабораторная работа № 10
В соответствии с заданием, полученным от преподавателя, студентам необходимо разработать программу, обеспечивающую вычисление значения функции в заданных точках с использованием подходящих для каждого конкретного случая интерполяционных формул.
Вариант 2
x1 = 1.5380; x2 = 1.6970;
x3 = 1.3350
X[ 0] = 0.2620
Y[ 0] = -0.1810
X[ 1] = 0.4190
Y[ 1] = -0.0450
X[ 2] = 0.5770
Y[ 2] = 0.0100
X[ 3] = 0.7340
Y[ 3] = 0.0090
X[ 4] = 0.8920
Y[ 4] = -0.0260
X[ 5] = 1.0490
Y[ 5] = -0.0720
X[ 6] = 1.2070
Y[ 6] = -0.1050
X[ 7] = 1.3640
Y[ 7] = -0.1020
X[ 8] = 1.5220
Y[ 8] = -0.0380
X[ 9] = 1.6790
Y[ 9] = 0.1060
X[10] = 1.8370
Y[10] = 0.3600
Используя подходящую интерполяционную формулу, вычислите в точках x 1, x 2, x 3 значения функции, заданной таблицей, для узлов с равноотстоящим шагом.
Вариант 1
x1 = 1.2120; x2 = 1.4790;
x3 = 1.0150
X[ 0] = 0.2560
Y[ 0] = -0.1680
X[ 1] = 0.4090
Y[ 1] = -0.0420
X[ 2] = 0.5630
Y[ 2] = 0.0100
X[ 3] = 0.7170
Y[ 3] = 0.0080
X[ 4] = 0.8710
Y[ 4] = -0.0240
X[ 5] = 1.0240
Y[ 5] = -0.0670
X[ 6] = 1.1780
Y[ 6] = -0.0970
X[ 7] = 1.3320
Y[ 7] = -0.0940
X[ 8] = 1.4860
Y[ 8] = -0.0350
X[ 9] = 1.6390
Y[ 9] = 0.0990
X[10] = 1.7930
Y[10] = 0.3350
Вариант 3
x1 = 0.8110; x2=0.3770;
x3=1.5480
X[ 0] = 0.2680
Y[ 0] = -0.1950
X[ 1] = 0.4290
Y[ 1] = -0.0480
X[ 2] = 0.5910
Y[ 2] = 0.0110
X[ 3] = 0.7520
Y[ 3] = 0.0100
X[ 4] = 0.9130
Y[ 4] = -0.0280
X[ 5] = 1.0740
Y[ 5] = -0.0770
X[ 6] = 1.2360
Y[ 6] = -0.1130
X[ 7] = 1.3970
Y[ 7] = -0.1090
X[ 8] = 1.5580
Y[ 8] = -0.0410
X[ 9] = 1.7190
Y[ 9] = 0.1140
X[10] = 1.8810
Y[10] = 0.3870
Вариант 4
x1 = 1.2230; x2=1.6830;
x3=1.7640
X[ 0] = 0.2740
Y[ 0] = -0.2090
X[ 1] = 0.4390
Y[ 1] = -0.0510
X[ 2] = 0.6040
Y[ 2] = 0.0120
X[ 3] = 0.7690
Y[ 3] = 0.0100
X[ 4] = 0.9340
Y[ 4] = -0.0290
X[ 5] = 1.0990
Y[ 5] = -0.0820
X[ 6] = 1.2640
Y[ 6] = -0.1200
X[ 7] = 1.4290
Y[ 7] = -0.1170
X[ 8] = 1.5940
Y[ 8] = -0.0440
X[ 9] = 1.7590
Y[ 9] = 0.1230
X[10] = 1.9240
Y[10] = 0.4130
Вариант 6
x1 = 1.0980; x2 = 1.8770;
x3 = 1.5130
X[ 0] = 0.2870
Y[ 0] = -0.2380
X[ 1] = 0.4590
Y[ 1] = -0.0590
X[ 2] = 0.6320
Y[ 2] = 0.0140
X[ 3] = 0.8040
Y[ 3] = 0.0120
X[ 4] = 0.9770
Y[ 4] = -0.0340
X[ 5] = 1.1490
Y[ 5] = -0.0940
X[ 6] = 1.3220
Y[ 6] = -0.1380
X[ 7] = 1.4940
Y[ 7] = -0.1340
X[ 8] = 1.6670
Y[ 8] = -0.0500
X[ 9] = 1.8390
Y[ 9] = 0.1400
X[10] = 2.0120
Y[10] = 0.4740
Вариант 7
x1 = 1.4980; x2 = 0.4120;
x3 = 1.6840
X[ 0] = 0.2930
Y[ 0] = -0.2540
X[ 1] = 0.4690
Y[ 1] = -0.0630
X[ 2] = 0.6460
Y[ 2] = 0.0150
X[ 3] = 0.8220
Y[ 3] = 0.0130
X[ 4] = 0.9980
Y[ 4] = -0.0360
X[ 5] = 1.1740
Y[ 5] = -0.1010
X[ 6] = 1.3510
Y[ 6] = -0.1470
X[ 7] = 1.5270
Y[ 7] = -0.1420
X[ 8] = 1.7030
Y[ 8] = -0.0540
X[ 9] = 1.8790
Y[ 9] = 0.1500
X[10] = 2.0560
Y[10] = 0.5060
Вариант 8
x1 = 1.4870; x2 = 0.5090;
x3 = 1.4530
X[ 0] = 0.2990
Y[ 0] = -0.2710
X[ 1] = 0.4790
Y[ 1] = -0.0670
X[ 2] = 0.6590
Y[ 2] = 0.0160
X[ 3] = 0.8390
Y[ 3] = 0.0140
X[ 4] = 1.0190
Y[ 4] = -0.0380
X[ 5] = 1.1990
Y[ 5] = -0.1070
X[ 6] = 1.3790
Y[ 6] = -0.1570
X[ 7] = 1.5590
Y[ 7] = -0.1520
X[ 8] = 1.7390
Y[ 8] = -0.0580
X[ 9] = 1.9190
Y[ 9] = 0.1590
X[10] = 2.0990
Y[10] = 0.5370
Вариант 5
x1 = 1.2510; x2 = 1.1700;
x3 = 1.0870
X[ 0] = 0.2810
Y[ 0] = -0.2220
X[ 1] = 0.4490
Y[ 1] = -0.0550
X[ 2] = 0.6180
Y[ 2] = 0.0130
X[ 3] = 0.7870
Y[ 3] = 0.0110
X[ 4] = 0.9560
Y[ 4] = -0.0320
X[ 5] = 1.1240
Y[ 5] = -0.0880
X[ 6] = 1.2930
Y[ 6] = -0.1290
X[ 7] = 1.4620
Y[ 7] = -0.1250
X[ 8] = 1.6310
Y[ 8] = -0.0470
X[ 9] = 1.7990
Y[ 9] = 0.1310
X[10] = 1.9680
Y[10] = 0.4430
Вариант 9
x1 = 1.0530; x2 = 0.4450;
x3 = 1.1550
X[ 0] = 0.3060
Y[ 0] = -0.2870
X[ 1] = 0.4890
Y[ 1] = -0.0710
X[ 2] = 0.6730
Y[ 2] = 0.0170
X[ 3] = 0.8570
Y[ 3] = 0.0140
X[ 4] = 1.0410
Y[ 4] = -0.0410
X[ 5] = 1.2240
Y[ 5] = -0.1140
X[ 6] = 1.4080
Y[ 6] = -0.1670
X[ 7] = 1.5920
Y[ 7] = -0.1610
X[ 8] = 1.7760
Y[ 8] = -0.0610
X[ 9] = 1.9590
Y[ 9] = 0.1700
X[10] = 2.1430
Y[10] = 0.5720
Вариант 11
x1 = 1.1600; x2 = 2.1660;
x3 = 1.4620
X[ 0] = 0.3180
Y[ 0] = -0.3250
X[ 1] = 0.5090
Y[ 1] = -0.0800
X[ 2] = 0.7010
Y[ 2] = 0.0190
X[ 3] = 0.8920
Y[ 3] = 0.0160
X[ 4] = 1.0830
Y[ 4] = -0.0460
X[ 5] = 1.2740
Y[ 5] = -0.1290
X[ 6] = 1.4660
Y[ 6] = -0.1880
X[ 7] = 1.6570
Y[ 7] = -0.1820
X[ 8] = 1.8480
Y[ 8] = -0.0690
X[ 9] = 2.0390
Y[ 9] = 0.1910
X[10] = 2.2310
Y[10] = 0.6460
Вариант 10
x1 = 1.3020; x2 = 1.5690;
x3 = 1.8350
X[ 0] = 0.3120
Y[ 0] = -0.3060
X[ 1] = 0.4990
Y[ 1] = -0.0760
X[ 2] = 0.6870
Y[ 2] = 0.0180
X[ 3] = 0.8740
Y[ 3] = 0.0150
X[ 4] = 1.0620
Y[ 4] = -0.0440
X[ 5] = 1.2490
Y[ 5] = -0.1210
X[ 6] = 1.4370
Y[ 6] = -0.1770
X[ 7] = 1.6240
Y[ 7] = -0.1720
X[ 8] = 1.8120
Y[ 8] = -0.0650
X[ 9] = 1.9990
Y[ 9] = 0.1800
X[10] = 2.1870
Y[10] = 0.6080
Вариант 13
x1 = 0.6190; x2 = 1.3990;
x3 = 1.1000
X[ 0] = 0.3310
Y[ 0] = -0.3630
X[ 1] = 0.5290
Y[ 1] = -0.0900
X[ 2] = 0.7280
Y[ 2] = 0.0210
X[ 3] = 0.9270
Y[ 3] = 0.0180
X[ 4] = 1.1260
Y[ 4] = -0.0520
X[ 5] = 1.3240
Y[ 5] = -0.1440
X[ 6] = 1.5230
Y[ 6] = -0.2110
X[ 7] = 1.7220
Y[ 7] = -0.2040
X[ 8] = 1.9210
Y[ 8] = -0.0770
X[ 9] = 2.1190
Y[ 9] = 0.2150
X[10] = 2.3180
Y[10] = 0.7240
Вариант 14
x1 = 1.6510; x2 = 1.3870;
x3 = 2.2260
X[ 0] = 0.3370
Y[ 0] = -0.3850
X[ 1] = 0.5390
Y[ 1] = -0.0950
X[ 2] = 0.7420
Y[ 2] = 0.0230
X[ 3] = 0.9440
Y[ 3] = 0.0190
X[ 4] = 1.1470
Y[ 4] = -0.0550
X[ 5] = 1.3490
Y[ 5] = -0.1530
X[ 6] = 1.5520
Y[ 6] = -0.2230
X[ 7] = 1.7540
Y[ 7] = -0.2160
X[ 8] = 1.9570
Y[ 8] = -0.0820
X[ 9] = 2.1590
Y[ 9] = 0.2270
X[10] = 2.3620
Y[10] = 0.7670
Вариант 12
x1 = 1.6960; x2 = 1.8860;
x3 = 1.3400
X[ 0] = 0.3240
Y[ 0] = -0.3450
X[ 1] = 0.5190
Y[ 1] = -0.0850
X[ 2] = 0.7140
Y[ 2] = 0.0200
X[ 3] = 0.9090
Y[ 3] = 0.0170
X[ 4] = 1.1040
Y[ 4] = -0.0490
X[ 5] = 1.2990
Y[ 5] = -0.1360
X[ 6] = 1.4940
Y[ 6] = -0.1990
X[ 7] = 1.6890
Y[ 7] = -0.1930
X[ 8] = 1.8840
Y[ 8] = -0.0740
X[ 9] = 2.0790
Y[ 9] = 0.2030
X[10] = 2.2740
Y[10] = 0.6830
Вариант 17
x1 = 1.5610; x2 = 1.7840;
x3=2.1280
X[ 0] = 0.3560
Y[ 0] = -0.4520
X[ 1] = 0.5690
Y[ 1] = -0.1120
X[ 2] = 0.7830
Y[ 2] = 0.0270
X[ 3] = 0.9970
Y[ 3] = 0.0230
X[ 4] = 1.2110
Y[ 4] = -0.0650
X[ 5] = 1.4240
Y[ 5] = -0.1800
X[ 6] = 1.6380
Y[ 6] = -0.2630
X[ 7] = 1.8520
Y[ 7] = -0.2540
X[ 8] = 2.0660
Y[ 8] = -0.0960
X[ 9] = 2.2790
Y[ 9] = 0.2680
X[10] = 2.4930
Y[10] = 0.9010
Вариант 15
x1 = 0.6070; x2 = 1.6230;
x3 = 0.8430
X[ 0] = 0.3430
Y[ 0] = -0.4070
X[ 1] = 0.5490
Y[ 1] = -0.1010
X[ 2] = 0.7560
Y[ 2] = 0.0240
X[ 3] = 0.9620
Y[ 3] = 0.0200
X[ 4] = 1.1680
Y[ 4] = -0.0580
X[ 5] = 1.3740
Y[ 5] = -0.1620
X[ 6] = 1.5810
Y[ 6] = -0.2360
X[ 7] = 1.7870
Y[ 7] = -0.2280
X[ 8] = 1.9930
Y[ 8] = -0.0870
X[ 9] = 2.1990
Y[ 9] = 0.2400
X[10] = 2.4060
Y[10] = 0.8110
Вариант 16
x1 = 2.2960; x2 = 0.9390;
x3 = 1.3920
X[ 0] = 0.3490
Y[ 0] = -0.4300
X[ 1] = 0.5590
Y[ 1] = -0.1060
X[ 2] = 0.7690
Y[ 2] = 0.0250
X[ 3] = 0.9790
Y[ 3] = 0.0220
X[ 4] = 1.1890
Y[ 4] = -0.0610
X[ 5] = 1.3990
Y[ 5] = -0.1710
X[ 6] = 1.6090
Y[ 6] = -0.2490
X[ 7] = 1.8190
Y[ 7] = -0.2410
X[ 8] = 2.0290
Y[ 8] = -0.0920
X[ 9] = 2.2390
Y[ 9] = 0.2540
X[10] = 2.4490
Y[10] = 0.8530
Вариант 18
x1 = 0.7600; x2 = 2.0620;
x3=1.7640
X[ 0] = 0.3620
Y[ 0] = -0.4770
X[ 1] = 0.5790
Y[ 1] = -0.1180
X[ 2] = 0.7970
Y[ 2] = 0.0280
X[ 3] = 1.0140
Y[ 3] = 0.0240
X[ 4] = 1.2320
Y[ 4] = -0.0690
X[ 5] = 1.4490
Y[ 5] = -0.1900
X[ 6] = 1.6670
Y[ 6] = -0.2770
X[ 7] = 1.8840
Y[ 7] = -0.2680
X[ 8] = 2.1020
Y[ 8] = -0.1010
X[ 9] = 2.3190
Y[ 9] = 0.2820
X[10] = 2.5370
Y[10] = 0.9500
Вариант 19
x1 = 2.0690; x2 = 2.0390;
x3=1.6990
X[ 0] = 0.3680
Y[ 0] = -0.5030
X[ 1] = 0.5890
Y[ 1] = -0.1240
X[ 2] = 0.8110
Y[ 2] = 0.0300
X[ 3] = 1.0320
Y[ 3] = 0.0250
X[ 4] = 1.2530
Y[ 4] = -0.0720
X[ 5] = 1.4740
Y[ 5] = -0.2000
X[ 6] = 1.6960
Y[ 6] = -0.2910
X[ 7] = 1.9170
Y[ 7] = -0.2820
X[ 8] = 2.1380
Y[ 8] = -0.1070
X[ 9] = 2.3590
Y[ 9] = 0.2970
X[10] = 2.5810
Y[10] = 1.0010
Вариант 20
x1 = 1.5370; x2 = 1.7030;
x3=1.7400
X[ 0] = 0.3740
Y[ 0] = -0.5290
X[ 1] = 0.5990
Y[ 1] = -0.1310
X[ 2] = 0.8240
Y[ 2] = 0.0310
X[ 3] = 1.0490
Y[ 3] = 0.0270
X[ 4] = 1.2740
Y[ 4] = -0.0760
X[ 5] = 1.4990
Y[ 5] = -0.2100
X[ 6] = 1.7240
Y[ 6] = -0.3060
X[ 7] = 1.9490
Y[ 7] = -0.2970
X[ 8] = 2.1740
Y[ 8] = -0.1130
X[ 9] = 2.3990
Y[ 9] = 0.3130
X[10] = 2.6240
Y[10] = 1.0500
Вариант 22
x1= 1.4510; x2 = 0.9480;
x3 = 2.4550
X[ 0] = 0.3870
Y[ 0] = -0.5830
X[ 1] = 0.6190
Y[ 1] = -0.1440
X[ 2] = 0.8520
Y[ 2] = 0.0350
X[ 3] = 1.0840
Y[ 3] = 0.0300
X[ 4] = 1.3170
Y[ 4] = -0.0840
X[ 5] = 1.5490
Y[ 5] = -0.2320
X[ 6] = 1.7820
Y[ 6] = -0.3380
X[ 7] = 2.0140
Y[ 7] = -0.3280
X[ 8] = 2.2470
Y[ 8] = -0.1240
X[ 9] = 2.4790
Y[ 9] = 0.3450
X[10] = 2.7120
Y[10] = 1.1610
Вариант 26
x1 = 1.3780; x2 = 1.4350;
x3=1.7020
X[ 0] = 0.4120
Y[ 0] = -0.7030
X[ 1] = 0.6590
Y[ 1] = -0.1740
X[ 2] = 0.9070
Y[ 2] = 0.0420
X[ 3] = 1.1540
Y[ 3] = 0.0360
X[ 4] = 1.4020
Y[ 4] = -0.1010
X[ 5] = 1.6490
Y[ 5] = -0.2800
X[ 6] = 1.8970
Y[ 6] = -0.4080
X[ 7] = 2.1440
Y[ 7] = -0.3950
X[ 8] = 2.3920
Y[ 8] = -0.1500
X[ 9] = 2.6390
Y[ 9] = 0.4160
X[10] = 2.8870
Y[10] = 1.4010
Вариант 21
x1 = 1.6790; x2 = 2.2880;
x3 = 2.3860
X[ 0] = 0.3810
Y[ 0] = -0.5540
X[ 1] = 0.6090
Y[ 1] = -0.1370
X[ 2] = 0.8380
Y[ 2] = 0.0330
X[ 3] = 1.0670
Y[ 3] = 0.0280
X[ 4] = 1.2960
Y[ 4] = -0.0800
X[ 5] = 1.5240
Y[ 5] = -0.2210
X[ 6] = 1.7530
Y[ 6] = -0.3220
X[ 7] = 1.9820
Y[ 7] = -0.3120
X[ 8] = 2.2110
Y[ 8] = -0.1180
X[ 9] = 2.4390
Y[ 9] = 0.3280
X[10] = 2.6680
Y[10] = 1.1050
Вариант 24
x1 = 2.5030; x2 = 0.9080;
x3 = 0.5840
X[ 0] = 0.3990
Y[ 0] = -0.6420
X[ 1] = 0.6390
Y[ 1] = -0.1590
X[ 2] = 0.8790
Y[ 2] = 0.0380
X[ 3] = 1.1190
Y[ 3] = 0.0330
X[ 4] = 1.3590
Y[ 4] = -0.0920
X[ 5] = 1.5990
Y[ 5] = -0.2550
X[ 6] = 1.8390
Y[ 6] = -0.3720
X[ 7] = 2.0790
Y[ 7] = -0.3600
X[ 8] = 2.3190
Y[ 8] = -0.1370
X[ 9] = 2.5590
Y[ 9] = 0.3800
X[10] = 2.7990
Y[10] = 1.2750
Вариант 23
x1 = 1.4590; x2 = 1.4070;
x3=1.3350
X[ 0] = 0.3930
Y[ 0] = -0.6120
X[ 1] = 0.6290
Y[ 1] = -0.1510
X[ 2] = 0.8660
Y[ 2] = 0.0370
X[ 3] = 1.1020
Y[ 3] = 0.0310
X[ 4] = 1.3380
Y[ 4] = -0.0880
X[ 5] = 1.5740
Y[ 5] = -0.2430
X[ 6] = 1.8110
Y[ 6] = -0.3550
X[ 7] = 2.0470
Y[ 7] = -0.3440
X[ 8] = 2.2830
Y[ 8] = -0.1300
X[ 9] = 2.5190
Y[ 9] = 0.3620
X[10] = 2.7560
Y[10] = 1.2190
Вариант 25
x1 = 1.7570; x2 = 0.4700;
x3=1.5810
X[ 0] = 0.4060
Y[ 0] = -0.6710
X[ 1] = 0.6490
Y[ 1] = -0.1660
X[ 2] = 0.8930
Y[ 2] = 0.0400
X[ 3] = 1.1370
Y[ 3] = 0.0340
X[ 4] = 1.3810
Y[ 4] = -0.0970
X[ 5] = 1.6240
Y[ 5] = -0.2670
X[ 6] = 1.8680
Y[ 6] = -0.3900
X[ 7] = 2.1120
Y[ 7] = -0.3770
X[ 8] = 2.3560
Y[ 8] = -0.1430
X[ 9] = 2.5990
Y[ 9] = 0.3980
X[10] = 2.8430
Y[10] = 1.3370
Вариант 31
x1 = 1.3010; x2 = 2.2450;
x3 = 2.1200
X[ 0] = 0.4560
Y[ 0] = -0.9500
X[ 1] = 0.7290
Y[ 1] = -0.2350
X[ 2] = 1.0030
Y[ 2] = 0.0570
X[ 3] = 1.2770
Y[ 3] = 0.0480
X[ 4] = 1.5510
Y[ 4] = -0.1380
X[ 5] = 1.8240
Y[ 5] = -0.3790
X[ 6] = 2.0980
Y[ 6] = -0.5520
X[ 7] = 2.3720
Y[ 7] = -0.5350
X[ 8] = 2.6460
Y[ 8] = -0.2020
X[ 9] = 2.9190
Y[ 9] = 0.5640
X[10] = 3.1930
Y[10] = 1.8940
Вариант 32
x1 = 2.7820; x2 = 1.3080;
x3 = 2.2850
X[ 0] = 0.4620
Y[ 0] = -0.9910
X[ 1] = 0.7390
Y[ 1] = -0.2450
X[ 2] = 1.0170
Y[ 2] = 0.0590
X[ 3] = 1.2940
Y[ 3] = 0.0510
X[ 4] = 1.5720
Y[ 4] = -0.1430
X[ 5] = 1.8490
Y[ 5] = -0.3940
X[ 6] = 2.1270
Y[ 6] = -0.5750
X[ 7] = 2.4040
Y[ 7] = -0.5570
X[ 8] = 2.6820
Y[ 8] = -0.2110
X[ 9] = 2.9590
Y[ 9] = 0.5880
X[10] = 3.2370
Y[10] = 1.9750
Вариант 28
x1 = 2.2070; x2 = 2.0030;
x3 = 0.5900
X[ 0] = 0.4240
Y[ 0] = -0.7700
X[ 1] = 0.6790
Y[ 1] = -0.1900
X[ 2] = 0.9340
Y[ 2] = 0.0460
X[ 3] = 1.1890
Y[ 3] = 0.0390
X[ 4] = 1.4440
Y[ 4] = -0.1110
X[ 5] = 1.6990
Y[ 5] = -0.3060
X[ 6] = 1.9540
Y[ 6] = -0.4460
X[ 7] = 2.2090
Y[ 7] = -0.4320
X[ 8] = 2.4640
Y[ 8] = -0.1650
X[ 9] = 2.7190
Y[ 9] = 0.4560
X[10] = 2.9740
Y[10] = 1.5300
Вариант 38
x1 = 3.3870; x2 = 1.6760;
x3 = 1.2680
X[ 0] = 0.4990
Y[ 0] = -1.2540
X[ 1] = 0.7990
Y[ 1] = -0.3100
X[ 2] = 1.0990
Y[ 2] = 0.0750
X[ 3] = 1.3990
Y[ 3] = 0.0640
X[ 4] = 1.6990
Y[ 4] = -0.1800
X[ 5] = 1.9990
Y[ 5] = -0.4980
X[ 6] = 2.2990
Y[ 6] = -0.7270
X[ 7] = 2.5990
Y[ 7] = -0.7040
X[ 8] = 2.8990
Y[ 8] = -0.2680
X[ 9] = 3.1990
Y[ 9] = 0.7430
X[10] = 3.4990
Y[10] = 2.4920
Вариант 37
x1 = 3.2430; x2 = 3.2460;
x3 = 2.6270
X[ 0] = 0.4930
Y[ 0] = -1.2060
X[ 1] = 0.7890
Y[ 1] = -0.2980
X[ 2] = 1.0860
Y[ 2] = 0.0730
X[ 3] = 1.3820
Y[ 3] = 0.0610
X[ 4] = 1.6780
Y[ 4] = -0.1740
X[ 5] = 1.9740
Y[ 5] = -0.4800
X[ 6] = 2.2710
Y[ 6] = -0.7000
X[ 7] = 2.5670
Y[ 7] = -0.6780
X[ 8] = 2.8630
Y[ 8] = -0.2570
X[ 9] = 3.1590
Y[ 9] = 0.7150
X[10] = 3.4560
Y[10] = 2.4050
Вариант 36
x1 = 1.7310; x2 = 0.5420;
x3 = 3.0450
X[ 0] = 0.4870
Y[ 0] = -1.1600
X[ 1] = 0.7790
Y[ 1] = -0.2870
X[ 2] = 1.0720
Y[ 2] = 0.0700
X[ 3] = 1.3640
Y[ 3] = 0.0590
X[ 4] = 1.6570
Y[ 4] = -0.1680
X[ 5] = 1.9490
Y[ 5] = -0.4620
X[ 6] = 2.2420
Y[ 6] = -0.6740
X[ 7] = 2.5340
Y[ 7] = -0.6530
X[ 8] = 2.8270
Y[ 8] = -0.2470
X[ 9] = 3.1190
Y[ 9] = 0.6890
X[10] = 3.4120
Y[10] = 2.3130
Вариант 34
x1 = 1.7330; x2 = 3.1310;
x3 = 1.8920
X[ 0] = 0.4740
Y[ 0] = -1.0750
X[ 1] = 0.7590
Y[ 1] = -0.2650
X[ 2] = 1.0440
Y[ 2] = 0.0640
X[ 3] = 1.3290
Y[ 3] = 0.0550
X[ 4] = 1.6140
Y[ 4] = -0.1550
X[ 5] = 1.8990
Y[ 5] = -0.4270
X[ 6] = 2.1840
Y[ 6] = -0.6230
X[ 7] = 2.4690
Y[ 7] = -0.6040
X[ 8] = 2.7540
Y[ 8] = -0.2300
X[ 9] = 3.0390
Y[ 9] = 0.6370
X[10] = 3.3240
Y[10] = 2.1360
Вариант 33
x1 = 2.0180; x2 = 3.1920;
x3 = 3.2050
X[ 0] = 0.4680
Y[ 0] = -1.0320
X[ 1] = 0.7490
Y[ 1] = -0.2550
X[ 2] = 1.0310
Y[ 2] = 0.0620
X[ 3] = 1.3120
Y[ 3] = 0.0520
X[ 4] = 1.5930
Y[ 4] = -0.1490
X[ 5] = 1.8740
Y[ 5] = -0.4110
X[ 6] = 2.1560
Y[ 6] = -0.5990
X[ 7] = 2.4370
Y[ 7] = -0.5800
X[ 8] = 2.7180
Y[ 8] = -0.2200
X[ 9] = 2.9990
Y[ 9] = 0.6120
X[10] = 3.2810
Y[10] = 2.0580
Вариант 35
x1 = 1.1710; x2 = 1.4190;
x3 = 1.8680
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