Metode Tabulasi

mencari akar persamaan

b. y = f(x) = 2 – 3x + sin x = 0

tentukan x1=0 dan x2=1

f(x1)=f(0)=2-3(0)+sin(0)=2

f(x2)=f(1)=2-3(1)+sin(1)=-0.98254

f(x1).f(x2)=2(-0.98254)<0

membuat tabel fungsi disekitar 0 dan 1

METODE TABULASI
x	f(x)	AE
0.0	2	1.4912736
0.1	1.7017453	1.1930189
0.2	1.4034907	0.8947642
0.3	1.105236	0.5965096
0.4	0.8069813	0.2982549
0.5	0.5087265	1.329E-07
0.6	0.2104718	0.2982546
0.7	-0.087783	0.5965094
0.8	-0.3860378	0.8947642
0.9	-0.6842927	1.1930191
1.0	-0.9825476	1.491274
x	0.5087264
x	f(x)	AE
0.60	0.2104718	0.1491274
0.61	0.1806463	0.1193019
0.62	0.1508208	0.0894764
0.63	0.1209954	0.059651
0.64	0.0911699	0.0298255
0.65	0.0613444	1.728E-09
0.66	0.0315189	0.0298255
0.67	0.0016934	0.059651
0.68	-0.028132	0.0894764
0.69	-0.0579575	0.1193019
0.70	-0.087783	0.1491274
x	0.0613444
x	f(x)	AE
0.670	0.0016934	0.0115259
0.671	-0.0012891	0.0145084
0.672	-0.0042717	0.017491
0.673	-0.0072542	0.0204735
0.674	-0.0102368	0.0234561
0.675	-0.0132193	0.0264386
0.676	-0.0162018	0.0294211
0.677	-0.0191844	0.0324037
0.678	-0.0221669	0.0353862
0.679	-0.0251495	0.0383688
0.680	-0.028132	0.0413513
x	-0.0132193
x	f(x)	AE
0.6700	0.0016934	0.0016404
0.6701	0.0013952	0.0013421
0.6702	0.0010969	0.0010439
0.6703	0.0007987	0.0007456
0.6704	0.0005004	0.0004474
0.6705	0.0002022	0.0001491
0.6706	-9.609E-05	0.0001491
0.6707	-0.0003943	0.0004474
0.6708	-0.0006926	0.0007456
0.6709	-0.0009909	0.0010439
0.6710	-0.0012891	0.0013421
x	5.304E-05
x	f(x)	AE
0.67050	0.0002022	0.000164
0.67051	0.0001723	0.0001342
0.67052	0.0001425	0.0001044
0.67053	0.0001127	7.456E-05
0.67054	8.286E-05	4.474E-05
0.67055	5.304E-05	1.491E-05
0.67056	2.321E-05	1.491E-05
0.67057	-6.613E-06	4.474E-05
0.67058	-3.644E-05	7.456E-05
0.67059	-6.626E-05	0.0001044
0.67060	-9.609E-05	0.0001342
x	3.813E-05
x	f(x)	AE
0.670560	2.321E-05	1.64E-05
0.670561	2.023E-05	1.342E-05
0.670562	1.725E-05	1.044E-05
0.670563	1.427E-05	7.456E-06
0.670564	1.128E-05	4.474E-06
0.670565	8.3E-06	1.491E-06
0.670566	5.317E-06	1.491E-06
0.670567	2.335E-06	4.474E-06
0.670568	-6.477E-07	7.456E-06
0.670569	-3.63E-06	1.044E-05
0.670570	-6.613E-06	1.342E-05
x	6.809E-06
x	f(x)	AE
0.6705670	2.335E-06	1.64E-06
0.6705671	2.037E-06	1.342E-06
0.6705672	1.738E-06	1.044E-06
0.6705673	1.44E-06	7.456E-07
0.6705674	1.142E-06	4.474E-07
0.6705675	8.436E-07	1.491E-07
0.6705676	5.453E-07	1.491E-07
0.6705677	2.47E-07	4.474E-07
0.6705678	-5.121E-08	7.456E-07
0.6705679	-3.495E-07	1.044E-06
0.6705680	-6.477E-07	1.342E-06
x	6.944E-07

jadi y = f(x) = 2 – 3x + sinx = 0

akan menghasilkan

x = 0.6705677

dengan error sebesar 4.474 x 10-7