Uploaded by yeyensptn

Modul 01(Nomor 2) 170210102028 17 09 2019

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%HENI RUSPITASARI_170210102028
%Nomor 2A
biseksi
Metode Bagi dua
Tekan Enter untuk lanjut
Fungsi f:'f1'
Masukkan batas bawah :0
Masukkan batas atas :1
Masukkan galat Toleransi :10^-6
y =
-21
y =
-14.0570
Ingat f(a)*f(b)>0, berarti tidak ada akar dalam selang
iterasi
Galat
a
b
c
f(c)
y =
-18.3935
1
0.0000000000
1.0000000000
1.0000000000
0.5000000000
-18.3934693403
1.0000000000
0.7500000000
-16.4057628845
1.0000000000
0.8750000000
-15.2658801133
1.0000000000
0.9375000000
-14.6686152538
1.0000000000
0.9687500000
-14.3644071794
y =
-16.4058
2
0.5000000000
0.3333333333
y =
-15.2659
3
0.7500000000
0.1428571429
y =
-14.6686
4
0.8750000000
0.0666666667
y =
-14.3644
5
0.9375000000
0.0322580645
y =
-14.2111
6
0.9687500000
0.0158730159
1.0000000000
0.9843750000
-14.2110675821
1.0000000000
0.9921875000
-14.1341086504
1.0000000000
0.9960937500
-14.0955593651
1.0000000000
0.9980468750
-14.0762675752
1.0000000000
0.9990234375
-14.0666174317
1.0000000000
0.9995117188
-14.0617913027
1.0000000000
0.9997558594
-14.0593779745
1.0000000000
0.9998779297
-14.0581712445
1.0000000000
0.9999389648
-14.0575678630
y =
-14.1341
7
0.9843750000
0.0078740157
y =
-14.0956
8
0.9921875000
0.0039215686
y =
-14.0763
9
0.9960937500
0.0019569472
y =
-14.0666
10
0.9980468750
0.0009775171
y =
-14.0618
11
0.9990234375
0.0004885198
y =
-14.0594
12
0.9995117188
0.0002442002
y =
-14.0582
13
0.9997558594
0.0001220852
y =
-14.0576
14
0.9998779297
0.0000610389
y =
-14.0573
15
0.9999389648
0.0000305185
1.0000000000
0.9999694824
-14.0572661682
1.0000000000
0.9999847412
-14.0571153198
1.0000000000
0.9999923706
-14.0570398953
1.0000000000
0.9999961853
-14.0570021830
1.0000000000
0.9999980927
-14.0569833268
20
0.9999980927
1.0000000000
0.0000009537
Akarnya adalah = 0.9999990463
'lat01(c)'
0.9999990463
-14.0569738987
y =
-14.0571
16
0.9999694824
0.0000152590
y =
-14.0570
17
0.9999847412
0.0000076295
y =
-14.0570
18
0.9999923706
0.0000038147
y =
-14.0570
19
0.9999961853
0.0000019074
y =
-14.0570
ans =
lat01(c)
%Nomor 2B
biseksi
Metode Bagi dua
Tekan Enter untuk lanjut
Fungsi f:'f1'
Masukkan batas bawah :0
Masukkan batas atas :5
Masukkan galat Toleransi :10^-6
y =
-21
y =
5.7379
iterasi
Galat
a
b
c
f(c)
y =
-0.7394
1
0.0000000000
1.0000000000
5.0000000000
2.5000000000
-0.7393751720
5.0000000000
3.7500000000
3.9215490330
3.7500000000
3.1250000000
2.2267904354
3.1250000000
2.8125000000
0.9384406484
2.8125000000
2.6562500000
0.1519391276
2.6562500000
2.5781250000
-0.2802392322
2.6562500000
2.6171875000
-0.0608226005
y =
3.9215
2
2.5000000000
0.3333333333
y =
2.2268
3
2.5000000000
0.2000000000
y =
0.9384
4
2.5000000000
0.1111111111
y =
0.1519
5
2.5000000000
0.0588235294
y =
-0.2802
6
2.5000000000
0.0303030303
y =
-0.0608
7
2.5781250000
0.0149253731
y =
0.0464
8
2.6171875000
0.0074074074
2.6562500000
2.6367187500
0.0463843853
2.6367187500
2.6269531250
-0.0070118400
2.6367187500
2.6318359375
0.0197379986
2.6318359375
2.6293945313
0.0063760222
2.6293945313
2.6281738281
-0.0003146717
2.6293945313
2.6287841797
0.0030314843
2.6287841797
2.6284790039
0.0013586086
2.6284790039
2.6283264160
0.0005220190
2.6283264160
2.6282501221
0.0001036863
y =
-0.0070
9
2.6171875000
0.0037174721
y =
0.0197
10
2.6269531250
0.0018552876
y =
0.0064
11
2.6269531250
0.0009285051
y =
-3.1467e-04
12
2.6269531250
0.0004644682
y =
0.0030
13
2.6281738281
0.0002321802
y =
0.0014
14
2.6281738281
0.0001161036
y =
5.2202e-04
15
2.6281738281
0.0000580552
y =
1.0369e-04
16
2.6281738281
0.0000290284
y =
-1.0549e-04
17
2.6281738281
0.0000145144
2.6282501221
2.6282119751
-0.0001054896
2.6282501221
2.6282310486
-0.0000009009
2.6282501221
2.6282405853
0.0000513929
2.6282405853
2.6282358170
0.0000252461
21
2.6282310486
2.6282358170
0.0000009071
Akarnya adalah = 2.6282334328
'lat01(c)'
2.6282334328
0.0000121726
y =
-9.0086e-07
18
2.6282119751
0.0000072572
y =
5.1393e-05
19
2.6282310486
0.0000036286
y =
2.5246e-05
20
2.6282310486
0.0000018143
y =
1.2173e-05
ans =
lat01(c)
%Nomor 2C
biseksi
Metode Bagi dua
Tekan Enter untuk lanjut
Fungsi f:'f1'
Masukkan batas bawah :-5
Masukkan batas atas :10
Masukkan galat Toleransi :10^-6
y =
-1.4845e+05
y =
19.3632
iterasi
Galat
a
b
c
f(c)
y =
-0.7394
1
-5.0000000000
0.7393751720
3.0000000000
10.0000000000
2.5000000000
-
y =
7.7704
2
2.5000000000
0.6000000000
10.0000000000
6.2500000000
7.7704182348
y =
4.9331
3
2.5000000000
0.4285714286
6.2500000000
4.3750000000
4.9330718538
4.3750000000
3.4375000000
3.1955383037
3.4375000000
2.9687500000
1.6272443345
2.9687500000
2.7343750000
0.5578844250
2.7343750000
2.6171875000
-0.0608226005
2.7343750000
2.6757812500
0.2558537211
y =
3.1955
4
2.5000000000
0.2727272727
y =
1.6272
5
2.5000000000
0.1578947368
y =
0.5579
6
2.5000000000
0.0857142857
y =
-0.0608
7
2.5000000000
0.0447761194
y =
0.2559
8
2.6171875000
0.0218978102
y =
0.0994
9
2.6171875000
0.0110701107
2.6757812500
2.6464843750
0.0993675421
2.6464843750
2.6318359375
0.0197379986
2.6318359375
2.6245117188
-0.0204256108
2.6318359375
2.6281738281
-0.0003146717
2.6318359375
2.6300048828
0.0097189422
2.6300048828
2.6290893555
0.0047039555
2.6290893555
2.6286315918
0.0021950970
2.6286315918
2.6284027100
0.0009403264
2.6284027100
2.6282882690
0.0003128558
y =
0.0197
10
2.6171875000
0.0055658627
y =
-0.0204
11
2.6171875000
0.0027906977
y =
-3.1467e-04
12
2.6245117188
0.0013934046
y =
0.0097
13
2.6281738281
0.0006962172
y =
0.0047
14
2.6281738281
0.0003482298
y =
0.0022
15
2.6281738281
0.0001741452
y =
9.4033e-04
16
2.6281738281
0.0000870802
y =
3.1286e-04
17
2.6281738281
0.0000435420
y =
-9.0086e-07
18
2.6281738281
0.0000217715
2.6282882690
2.6282310486
-0.0000009009
2.6282882690
2.6282596588
0.0001559792
2.6282596588
2.6282453537
0.0000775396
2.6282453537
2.6282382011
0.0000383195
2.6282382011
2.6282346249
0.0000187093
23
2.6282310486
2.6282346249
0.0000006804
Akarnya adalah = 2.6282328367
'lat01(c)'
2.6282328367
0.0000089042
y =
1.5598e-04
19
2.6282310486
0.0000108856
y =
7.7540e-05
20
2.6282310486
0.0000054428
y =
3.8319e-05
21
2.6282310486
0.0000027214
y =
1.8709e-05
22
2.6282310486
0.0000013607
y =
8.9042e-06
ans =
lat01(c)
%Nomor 2D
biseksi
Metode Bagi dua
Tekan Enter untuk lanjut
Fungsi f:'f1'
Masukkan batas bawah :-10
Masukkan batas atas :-5
Masukkan galat Toleransi :10^-6
y =
-1.7621e+08
y =
-1.4845e+05
Ingat f(a)*f(b)>0, berarti tidak ada akar dalam selang
iterasi
Galat
a
b
c
f(c)
y =
-6.1022e+06
1
-10.0000000000
-5.0000000000
6102194.1487892130
0.3333333333
-7.5000000000
-
y =
-1.0118e+06
2
-7.5000000000
-5.0000000000
1011789.7981803555
0.2000000000
-6.2500000000
-
-5.6250000000
-
-5.3125000000
-
-5.1562500000
-
-5.0781250000
-
-5.0390625000
-
y =
-3.9483e+05
3
-6.2500000000
-5.0000000000
394831.5769870404
0.1111111111
y =
-2.4336e+05
4
-5.6250000000
-5.0000000000
243361.3779419041
0.0588235294
y =
-1.9033e+05
5
-5.3125000000
-5.0000000000
190334.6224120018
0.0303030303
y =
-1.6815e+05
6
-5.1562500000
-5.0000000000
168154.5120946021
0.0153846154
y =
-1.5801e+05
7
-5.0781250000
-5.0000000000
158011.7533374712
0.0077519380
y =
-1.5316e+05
8
-5.0390625000
-5.0000000000
153161.8810183063
0.0038910506
-5.0195312500
-
-5.0097656250
-
-5.0048828125
-
-5.0024414063
-
-5.0012207031
-
-5.0006103516
-
-5.0003051758
-
-5.0001525879
-
-5.0000762939
-
y =
-1.5079e+05
9
-5.0195312500
-5.0000000000
150790.5038687635
0.0019493177
y =
-1.4962e+05
10
-5.0097656250
-5.0000000000
149617.9836348702
0.0009756098
y =
-1.4903e+05
11
-5.0048828125
-5.0000000000
149034.9882822140
0.0004880429
y =
-1.4874e+05
12
-5.0024414063
-5.0000000000
148744.3034038335
0.0002440810
y =
-1.4860e+05
13
-5.0012207031
-5.0000000000
148599.1637413569
0.0001220554
y =
-1.4853e+05
14
-5.0006103516
-5.0000000000
148526.6445515355
0.0000610314
y =
-1.4849e+05
15
-5.0003051758
-5.0000000000
148490.3976103893
0.0000305166
y =
-1.4847e+05
16
-5.0001525879
-5.0000000000
148472.2773024339
0.0000152586
y =
-1.4846e+05
17
-5.0000762939
-5.0000000000
148463.2179390077
0.0000076293
-5.0000381470
-
-5.0000190735
-
-5.0000095367
-
-5.0000047684
-
y =
-1.4846e+05
18
-5.0000381470
-5.0000000000
148458.6884549196
0.0000038147
y =
-1.4846e+05
19
-5.0000190735
-5.0000000000
148456.4237622802
0.0000019073
y =
-1.4846e+05
20
-5.0000095367
-5.0000000000
148455.2914283115
0.0000009537
Akarnya adalah = -5.0000047684
'lat01(c)'
ans =
lat01(c)
diary off
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