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t eks CT eks t eks ln CT t kal CT kal minus k error sum error0 10 0 2.302585 0 10 -0.074 0 1.872838
10 3 10 1.098612 1 9.28671720 1.7 20 0.530628 2 8.62431130 0.7 30 -0.356675 3 8.00915440 0.5 40 -0.693147 4 7.43787450 0.3 50 -1.203973 5 6.90734360 0.1 60 -2.302585 6 6.414654
7 5.957108X Y 8 5.532197
0 x y 9 5.13759510 1.203973 0.171996 1.428571 0.171996 10 4.771139 0.5903820 1.771957 0.213489 2.409639 0.213489 11 4.43082230 2.65926 0.285942 3.225806 0.285942 12 4.11477940 2.995732 0.31534 4.210526 0.31534 13 3.82127950 3.506558 0.361501 5.154639 0.361501 14 3.54871360 4.60517 0.465169 6.060606 0.465169 15 3.29559
Vmax Km 16 3.0605210.0578 -0.0772 17 2.842219
t CT kal error Sum Error 18 2.6394880 10 0 0.885582 19 2.4512181 7.464912 20 2.276377 0.3390452 6.44659 21 2.1140073 5.704811 22 1.9632184 5.11556 23 1.8231855 4.626898 24 1.6931416 4.210853 25 1.5723727 3.850238 26 1.4602178 3.533568 27 1.3560629 3.252713 28 1.259337
10 3.001666 0.000555 29 1.1695111 2.775839 30 1.086091 0.55155912 2.571636 31 1.00862213 2.386176 32 0.93667914 2.217111 33 0.86986715 2.062498 34 0.80782116 1.920709 35 0.750217 1.790365 36 0.6966918 1.670285 37 0.64699619 1.559451 38 0.60084720 1.456978 0.142954 39 0.5579921 1.362092 40 0.518189 0.03637822 1.274112 41 0.48122823 1.192434 42 0.44690224 1.116523 43 0.41502625 1.045901 44 0.38542326 0.980138 45 0.35793127 0.918848 46 0.3324
0 10 20 30 40 50 60 700
2
4
6
8
10
12
CT vs t
Data eksperimenKM dan Vmax yang tepat dengan metode euler
t
CT
28 0.861684 47 0.30869129 0.808329 48 0.28667230 0.758498 0.083569 49 0.26622531 0.71193 50 0.247235 0.17588232 0.668388 51 0.229633 0.627653 52 0.21322334 0.589527 53 0.19801535 0.553828 54 0.1838936 0.520387 55 0.17077437 0.489049 56 0.15859338 0.459673 57 0.14728139 0.432127 58 0.13677540 0.406288 0.187425 59 0.12701941 0.382044 60 0.117959 0.17959442 0.35929143 0.33793144 0.31787645 0.2990446 0.28134747 0.26472448 0.24910449 0.23442350 0.220624 0.26458751 0.20765152 0.19545353 0.18398354 0.17319655 0.16304956 0.15350557 0.14452658 0.13607859 0.12812960 0.120649 0.206493
t kal CT kal error Sum error0 10 0 1.6029081 9.262 8.574763 7.9402284 7.3526515 6.8085556 6.3047227 5.8381728 5.4061489 5.006093
10 4.635642 0.54521411 4.29260412 3.97495213 3.68080514 3.40842615 3.15620216 2.92264317 2.70636818 2.50609619 2.32064520 2.148917 0.26406921 1.98989822 1.84264523 1.70628924 1.58002425 1.46310226 1.35483327 1.25457528 1.16173629 1.07576830 0.996161 0.42308731 0.92244532 0.85418433 0.79097534 0.73244335 0.67824236 0.62805237 0.58157638 0.53853939 0.49868740 0.461785 0.07643141 0.42761342 0.39596943 0.36666844 0.33953445 0.31440946 0.291142
0 10 20 30 40 50 60 70
-3
-2
-1
0
1
2
3
f(x) = − 0.0701587720556232 x + 2.01554110608379R² = 0.977898179922194
Column ELinear (Column E)
0 10 20 30 40 50 60 700
2
4
6
8
10
12
Column Berror
1 2 3 4 5 6 70
0.050.1
0.150.2
0.250.3
0.350.4
0.450.5
f(x) = 0.0597684004199859 x + 0.0782096559862759R² = 0.967343417648014
( 0/ )/( 0− ) VS 𝑙𝑛 𝐶𝑇 𝐶𝑇 𝐶𝑇 𝐶𝑇/( 0− ) 𝑡 𝐶𝑇 𝐶𝑇
Column ELinear (Column E)
𝑡/( 0− ) 𝐶𝑇 𝐶𝑇
(
0/)/
(0−
) 𝑙𝑛𝐶𝑇
𝐶𝑇𝐶𝑇
𝐶𝑇
0 10 20 30 40 50 60 700
2
4
6
8
10
12
CT vs t
Data eksperimenKM dan Vmax yang tepat dengan metode euler
t
CT
47 0.26959848 0.24964849 0.23117450 0.214067 0.28644451 0.19822652 0.18355753 0.16997454 0.15739655 0.14574956 0.13496357 0.12497658 0.11572859 0.10716460 0.099234 0.007663
1 2 3 4 5 6 70
0.050.1
0.150.2
0.250.3
0.350.4
0.450.5
f(x) = 0.0597684004199859 x + 0.0782096559862759R² = 0.967343417648014
( 0/ )/( 0− ) VS 𝑙𝑛 𝐶𝑇 𝐶𝑇 𝐶𝑇 𝐶𝑇/( 0− ) 𝑡 𝐶𝑇 𝐶𝑇
Column ELinear (Column E)
𝑡/( 0− ) 𝐶𝑇 𝐶𝑇
(
0/)/
(0−
) 𝑙𝑛𝐶𝑇
𝐶𝑇𝐶𝑇
𝐶𝑇
0 10 20 30 40 50 60 70
-3
-2
-1
0
1
2
3
f(x) = − 0.0701587720556232 x + 2.01554110608379R² = 0.977898179922194
Column ELinear (Column E)
0 10 20 30 40 50 60 700
2
4
6
8
10
12
Column Berror
1 2 3 4 5 6 70
0.050.1
0.150.2
0.250.3
0.350.4
0.450.5
f(x) = 0.0597684004199859 x + 0.0782096559862759R² = 0.967343417648014
( 0/ )/( 0− ) VS 𝑙𝑛 𝐶𝑇 𝐶𝑇 𝐶𝑇 𝐶𝑇/( 0− ) 𝑡 𝐶𝑇 𝐶𝑇
Column ELinear (Column E)
𝑡/( 0− ) 𝐶𝑇 𝐶𝑇
(
0/)/
(0−
) 𝑙𝑛𝐶𝑇
𝐶𝑇𝐶𝑇
𝐶𝑇
1 2 3 4 5 6 70
0.050.1
0.150.2
0.250.3
0.350.4
0.450.5
f(x) = 0.0597684004199859 x + 0.0782096559862759R² = 0.967343417648014
( 0/ )/( 0− ) VS 𝑙𝑛 𝐶𝑇 𝐶𝑇 𝐶𝑇 𝐶𝑇/( 0− ) 𝑡 𝐶𝑇 𝐶𝑇
Column ELinear (Column E)
𝑡/( 0− ) 𝐶𝑇 𝐶𝑇
(
0/)/
(0−
) 𝑙𝑛𝐶𝑇
𝐶𝑇𝐶𝑇
𝐶𝑇
Time (h) CT Time (h) ln CT0 100 0 4.605174 22 4 3.0910428 8 8 2.079442
12 2 12 0.69314716 0.5 16 -0.69314724 0.01 24 -4.60517
Time (h) CD Time (h) ln CD0 0 04 36 4 3.5835198 18 8 2.890372
12 6 12 1.79175916 2 16 0.69314724 0.5 24 -0.693147
Time (h) CM Time (h) ln CM0 0 04 40 4 3.6888798 62 8 4.127134
12 63 12 4.14313516 58 16 4.06044324 43 24 3.7612
0 5 10 15 20 25 303.4
3.5
3.6
3.7
3.8
3.9
4
4.1
4.2
f(x) = − 0.00197649111493186 x + 3.98145742462924R² = 0.00501348588407302
Column DLinear (Column D)
0 5 10 15 20 25 30-1
-0.50
0.51
1.52
2.53
3.54
f(x) = − 0.221230304544668 x + 4.48487793128782R² = 0.990318351179431
Column DLinear (Column D)
0 5 10 15 20 25 30
-6
-4
-2
0
2
4
6
f(x) = − 0.373523572284345 x + 4.84599877020604R² = 0.986521603993862
Column DLinear (Column D)
0 5 10 15 20 25 303.4
3.5
3.6
3.7
3.8
3.9
4
4.1
4.2
f(x) = − 0.00197649111493186 x + 3.98145742462924R² = 0.00501348588407302
Column DLinear (Column D)
3 4 5 6 7 8 9 10 11 12 133.4
3.5
3.6
3.7
3.8
3.9
4
4.1
4.2f(x) = 0.0567819090346995 x + 3.53212758290592R² = 0.776383499676777
Column DLinear (Column D)
10 12 14 16 18 20 22 24 263.5
3.6
3.7
3.8
3.9
4
4.1
4.2
f(x) = − 0.032624666743656 x + 4.55375350776721R² = 0.984150602661368
Column DLinear (Column D)
mnus k t kal CT kal error sum error-0.318 0 100 0 4.473821
1 72.76028k baik 0.3837 2 52.94058k grafik 0.3735 3 38.51971
4 28.02705 0.2739575 20.392566 14.837687 10.795948 7.855156 0.0181059 5.715434
10 4.15856611 3.02578412 2.201569 0.10078413 1.60186814 1.165523
minus k t kal CD kal error sum error 15 0.848038-0.18 0 16 0.617035 0.23407
1 17 0.4489562 18 0.3266623 19 0.237684 17.52308 0.513248 1.40027561641 20 0.1729375 14.63651 21 0.1258296 12.22544 22 0.0915547 10.21154 23 0.0666158 8.529399 0.526144 24 0.048469 3.8469059 7.124353
10 5.9507611 4.97049312 4.151704 0.30804913 3.46779514 2.89654615 2.41939816 2.020851 0.01042617 1.68795718 1.409919 1.17764820 0.98365421 0.82161722 0.68627223 0.57322324 0.478796 0.042408
0 5 10 15 20 25 30
-6
-4
-2
0
2
4
6
f(x) = − 0.373523572284345 x + 4.84599877020604R² = 0.986521603993862
Column DLinear (Column D)
0 5 10 15 20 25 300
20
40
60
80
100
120
CT VS t
CT eksperimenCT dgn k sum error kecil
t
CT
0 5 10 15 20 25 30
-5
0
5
10
15
20
CD eks dengan k=0.2212CD kal dgn k sum error kecil yaitu k=0.18
3 4 5 6 7 8 9 10 11 12 133.4
3.5
3.6
3.7
3.8
3.9
4
4.1
4.2f(x) = 0.0567819090346995 x + 3.53212758290592R² = 0.776383499676777
Column DLinear (Column D)
Metode euler t kal CT kal error SUM ERROR0 100 0 1.5124571 68.2
k baik = 0,318 2 46.51243 31.721464 21.63403 0.0166355 14.754416 10.062517 6.8626318 4.680314 0.4149619 3.191974
10 2.17692611 1.48466412 1.012541 0.4937313 0.69055314 0.47095715 0.32119316 0.219053 0.56189317 0.14939418 0.10188719 0.06948720 0.0473921 0.0323222 0.02204223 0.01503324 0.010252 0.025239
0 5 10 15 20 25 300
20
40
60
80
100
120
CT VS t
CT eksperimenCT dgn k sum error kecil
t
CT
Time (h) CT CD CM Time ln CT0 100 0 0 0 4.605174 22 36 40 4 3.0910428 8 18 62 8 2.079442
12 2 6 63 12 0.69314716 0.5 2 58 16 -0.69314724 0.01 0.5 43 24 -4.60517
k1 0.3735
-0.3735 exp(-k1.t)1
0.2244730.0503880.0113110.0025390.000128
eps^(-k1.t)CD100 0
22.4473 365.038811 181.131077 60.253896 20.012793 0.5
0 5 10 15 20 25 300
20
40
60
80
100
120
Column BCDCM
0 5 10 15 20 250
5
10
15
20
25
30
35
40
f(x) = 1.4983915264825 x + 3.84412952737002R² = 0.929128039686468
Column DLinear (Column D)
CD/CT00
0.360.180.060.02
0.005
0 5 10 15 20 25 30
-6
-4
-2
0
2
4
6
f(x) = − 0.373523572284345 x + 4.84599877020604R² = 0.986521603993862
Column JLinear (Column J)
0 0.2 0.4 0.6 0.8 1 1.20
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
f(x) = − 0.0562268069631096 x + 0.116244547859453R² = 0.0243156327941531
f(x) = 0.0238175393367299 exp( 13.5939670749566 x )R² = 0.574394333345247
f(x) = − 2.00963850694457 x² + 1.97677822126201 x + 0.0322540874710141R² = 0.958994228618142
Column KLinear (Column K)Exponential (Column K)Polynomial (Column K)
0 5 10 15 20 250
5
10
15
20
25
30
35
40
f(x) = 1.4983915264825 x + 3.84412952737002R² = 0.929128039686468
Column DLinear (Column D)
Time (h) CT CD CT kal euler t kal CD kal error sum error0 100 0 100 0 0 1.0024394 22 36 68.2 1 31.88 8 18 46.5124 2 43.5978
12 2 6 31.72146 3 44.8298316 0.5 2 21.63403 4 40.97517 0.13819924 0.01 0.5 14.75441 5 35.11152
10.06251 6 28.883746.862631 7 23.10077
k1 0.318 4.680314 8 18.09875 0.005486k2 0.311 3.191974 9 13.95838
2.176926 10 10.632371.484664 11 8.0179661.012541 12 5.996502 0.0005830.690553 13 4.4535770.470957 14 3.2881110.321193 15 2.4152730.219053 16 1.766262 0.1168690.149394 17 1.2866140.101887 18 0.9339840.069487 19 0.675915
0.04739 20 0.4878020.03232 21 0.351166
0.022042 22 0.2522310.015033 23 0.1807970.010252 24 0.129349 0.741301