TUGAS NUMERIK 3

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Metode Newton 1 ite ras i Xr f(x) f'(x) xr+1 1 1 -1 12 1.083 333 2 1.083 333 0.070 602 13.70 833 1.078 183 3 1.078 183 0.000 278 13.60 034 1.078 163 4 1.078 163 4.38E -09 13.59 991 1.078 163 5 1.078 163 0 13.59 991 1.078 163 2 iter asi Xr f(x) f'(x) xr+1 1 1 -0.29 -3.29 0.9118 54 2 0.9118 54 - 0.0124 2 -2.98911 0.9077 3 0.9077 9.49E- 07 -2.97444 0.9077 01 4 0.9077 01 -2.4E- 09 -2.97444 0.9077 01 5 0.9077 01 6.1E- 12 -2.97444 0.9077 01 6 0.9077 01 -1.6E- 14 -2.97444 0.9077 01 7 0.9077 01 0 -2.97444 0.9077 01 3 ite ras i Xr f(x) f'(x) xr+1 1 1 - 0.442 2.425 519 1.182 473

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Transcript of TUGAS NUMERIK 3

Metode Newton

1iterasiXrf(x)f'(x)xr+1

11-1121.083333

21.0833330.07060213.708331.078183

31.0781830.00027813.600341.078163

41.0781634.38E-0913.599911.078163

51.078163013.599911.078163

2iterasiXrf(x)f'(x)xr+1

11-0.29-3.290.911854

20.911854-0.01242-2.989110.9077

30.90779.49E-07-2.974440.907701

40.907701-2.4E-09-2.974440.907701

50.9077016.1E-12-2.974440.907701

60.907701-1.6E-14-2.974440.907701

70.9077010-2.974440.907701

3iterasiXrf(x)f'(x)xr+1

11-0.442592.4255191.182473

21.1824730.2619415.975161.138635

31.1386350.0294364.700531.132373

41.1323730.0004784.5490511.132268

51.1322681.3E-074.5465661.132268

61.1322689.33E-154.5465661.132268

71.13226804.5465661.132268

Metode Secant

1Iterasix1x2f(x1)f(x2)x3f(x3)

111.5-17.751.057143-0.2812595

21.0571431.5-0.281267.751.072652-0.0746262

31.0726521.5-0.074637.751.076728-0.0194922

41.0767281.5-0.019497.751.07779-0.0050704

51.077791.5-0.005077.751.078066-0.0013175

61.0780661.5-0.001327.751.078137-0.0003423

71.0781371.5-0.000347.751.078156-8.89E-05

2Iterasix1x2f(x1)f(x2)x3f(x3)

110-0.2910.7751940.36310731

20.77519400.36310711.21715-1.0793343

31.217150-1.0793310.5853550.76450167

41.217150.585355-1.079330.7645020.8473140.173524

51.217150.847314-1.079330.1735240.8985370.02717705

61.217150.898537-1.079330.0271770.9063620.00398756

71.217150.906362-1.079330.0039880.9075060.00057938

81.217150.907506-1.079330.0005790.9076728.4061E-05

91.217150.907672-1.079338.41E-050.9076961.2194E-05

101.217150.907696-1.079331.22E-050.90771.7688E-06

111.217150.9077-1.079331.77E-060.90772.5657E-07

121.217150.9077-1.079332.57E-070.9077013.7216E-08

131.217150.907701-1.079333.72E-080.9077015.3983E-09

141.217150.907701-1.079335.4E-090.9077017.8305E-10

151.217150.907701-1.079337.83E-100.9077011.1358E-10

161.217150.907701-1.079331.14E-100.9077011.6476E-11

171.217150.907701-1.079331.65E-110.9077012.3901E-12

181.217150.907701-1.079332.39E-120.9077013.4639E-13

191.217150.907701-1.079333.46E-130.9077015.0182E-14

3Iterasix1x2f(x1)f(x2)x3f(x3)

111.5-0.4425911.601421.018374-0.3961643

21.0183741.5-0.3961611.601421.034277-0.3527787

31.0342771.5-0.3527811.601421.048021-0.3126708

41.0480211.5-0.3126711.601421.059883-0.2759479

51.0598831.5-0.2759511.601421.070108-0.2426106

61.0701081.5-0.2426111.601421.078914-0.2125753

71.0789141.5-0.2125811.601421.086491-0.1856957

81.0864911.5-0.185711.601421.093005-0.1617815

91.0930051.5-0.1617811.601421.098603-0.1406154

101.0986031.5-0.1406211.601421.10341-0.1219663

111.103411.5-0.1219711.601421.107536-0.1055995

121.1075361.5-0.105611.601421.111076-0.091285

131.1110761.5-0.0912911.601421.114112-0.0788029

141.1141121.5-0.078811.601421.116716-0.0679467

151.1167161.5-0.0679511.601421.118947-0.0585258

161.1189471.5-0.0585311.601421.12086-0.0503663

171.120861.5-0.0503711.601421.122499-0.043311

181.1224991.5-0.0433111.601421.123903-0.0372193

191.1239031.5-0.0372211.601421.125106-0.0319661

201.1251061.5-0.0319711.601421.126136-0.0274409

211.1261361.5-0.0274411.601421.127018-0.0235463

221.1270181.5-0.0235511.601421.127773-0.0201971

231.1277731.5-0.020211.601421.12842-0.0173189

241.128421.5-0.0173211.601421.128974-0.0148469

251.1289741.5-0.0148511.601421.129448-0.0127248

261.1294481.5-0.0127211.601421.129854-0.0109038

271.1298541.5-0.010911.601421.130202-0.0093419

281.1302021.5-0.0093411.601421.130499-0.0080025

291.1304991.5-0.00811.601421.130754-0.0068543

301.1307541.5-0.0068511.601421.130972-0.0058703

311.1309721.5-0.0058711.601421.131159-0.005027

321.1311591.5-0.0050311.601421.131319-0.0043046

331.1313191.5-0.004311.601421.131455-0.0036857

Polynominal series

21-59-72

x=212-66-2

-33-10

21-59-72

x=111-45-2

-45-20

21-59-72

x=212-66-2

-33-10