14 16 18 20 22 24 26 28

0.000000000

2.000000000

4.000000000

6.000000000

8.000000000

10.000000000

12.000000000

Column C

bisectionMETODE TABELf(x)=x^2-((x+1)*EXP^(-x)) BISECTION

x f(x ) iterasi a b x f(a) f(x)0.81 -0.149093100 0 0.5000000 1.5000000 1.0000000 -0.6597960 0.264241120.82 -0.129185611 1 0.5000000 1.0000000 0.7500000 -0.6597960 -0.264141470.83 -0.10907019397 2 0.7500000 1.0000000 0.8750000 -0.2641415 -0.015991290.84 -0.08874736311 3 0.8750000 1.0000000 0.9375000 -0.0159913 0.120170350.85 -0.068217624 4 0.8750000 0.9375000 0.9062500 -0.0159913 0.051094440.86 -0.04748147311 5 0.8750000 0.9062500 0.8906250 -0.0159913 0.01730195

0.87 -0.02653939709 6 0.8750000 0.8906250 0.8828125 -0.0159913 0.000592820.88 -0.00539187396 7 0.8750000 0.8828125 0.8789063 -0.0159913 -0.007714880.89 0.0159606273 8 0.8789063 0.8828125 0.8808594 -0.0077149 -0.00356494

0.9 0.03751764649 9 0.8808594 0.8828125 0.8818359 -0.0035649 -0.0014870410 0.8818359 0.8828125 0.8823242 -0.0014870 -0.0004473511 0.8823242 0.8828125 0.8825684 -0.0004474 0.0000726712 0.8823242 0.8825684 0.8824463 -0.0004474 -0.0001873613 0.8824463 0.8825684 0.8825073 -0.0001874 -0.0000573514 0.8825073 0.8825684 0.8825378 -0.0000573 0.0000076615 0.8825073 0.8825378 0.8825226 -0.0000573 -0.0000248416 0.8825226 0.8825378 0.8825302 -0.0000248 -0.0000085917 0.8825302 0.8825378 0.8825340 -0.0000086 -0.0000004618 0.8825340 0.8825378 0.8825359 -0.0000005 0.0000036019 0.8825340 0.8825359 0.8825350 -0.0000005 0.0000015720 0.8825340 0.8825350 0.8825345 -0.0000005 0.0000005521 0.8825340 0.8825345 0.8825343 -0.0000005 0.0000000422 0.8825340 0.8825343 0.8825341 -0.0000005 -0.0000002123 0.8825341 0.8825343 0.8825342 -0.0000002 -0.0000000824 0.8825342 0.8825343 0.8825342 -0.0000001 -0.0000000225 0.8825342 0.8825343 0.8825343 0.0000000 0.0000000126 0.8825342 0.8825343 0.8825342 0.0000000 0.0000000027 0.8825342 0.8825343 0.8825342 0.0000000 0.0000000028 0.8825342 0.8825342 0.8825342 0.0000000 0.0000000029 0.8825342 0.8825342 0.8825342 0.0000000 0.0000000030 0.8825342 0.8825342 0.8825342 0.0000000 0.0000000031 0.8825342 0.8825342 0.8825342 0.0000000 0.0000000032 0.8825342 0.8825342 0.8825342 0.0000000 0.0000000033 0.8825342 0.8825342 0.8825342 0.0000000 0.0000000034 0.8825342 0.8825342 0.8825342 0.0000000 0.00000000

Posisi palsu

0.8 0.82 0.84 0.86 0.88 0.9 0.92

-0.200000000

-0.150000000

-0.100000000

-0.050000000

0.000000000

0.050000000

GRAFIK x^2-((x+1)*EXP^(-x))

X

F(X

)

Iterasi xl xu F(xl) F(xu) xr0 0.5000000000 1.5000000000 -0.6597959896 1.6921745996 0.78052901371 0.7805290137 1.5000000000 -0.2065479925 1.6921745996 0.8587949428

2 0.8587949428 1.5000000000 -0.0499912198 1.6921745996 0.87719423793 0.8771942379 1.5000000000 -0.0113460737 1.6921745996 0.88134235314 0.8813423531 1.5000000000 -0.0025375150 1.6921745996 0.88226867745 0.8822686774 1.5000000000 -0.0005656400 1.6921745996 0.88247509636 0.8824750963 1.5000000000 -0.0001259947 1.6921745996 0.8825210721

SECANTiterasi x0 x1 F(x0) F(x1) x2

0 0.870000000 0.8800000000 -0.02654 -0.00539 0.88254964801 0.880000000 0.8825496480 -0.00539 0.00003 0.88253422602 0.882549648 0.8825342260 0.00003281205 0.00000 0.88253424483 0.882534226 0.8825342448 -0.000000040040 0.00000 0.88253424484 0.882534245 0.8825342448 0.00000000000 0.00000 0.8825342448

NEWTON-RAPHSONiterasi xn F(xn) F'(Xn) X(n+1) Ea %

1 0.8900000000 0.0159606273 5.9717392882 0.88732730672 0.8873273067 0.0102337138 5.9465195271 0.8856063482 0.19432545631833 0.8856063482 0.0065538659 5.9303145662 0.8845012018 0.12494572270454 0.8845012018 0.0041939781 5.9199223121 0.8837927502 0.08016037064235 0.8837927502 0.0026824930 5.9132661611 0.8833391104 0.05135511468966 0.8833391104 0.0017151898 5.9090064246 0.8830488434 0.03287100638647 0.8830488434 0.0010964701 5.9062817491 0.8828631986 0.02102757593998 0.8828631986 0.0007008489 5.9045395378 0.8827445020 0.01344631654959 0.8827445020 0.0004479355 5.9034257733 0.8826686248 0.0085963428028

10 0.8826686248 0.0002862749 5.9027138618 0.8826201259 0.005494874477611 0.8826201259 0.0001829516 5.9022588524 0.8825891290 0.003512039608412 0.8825891290 0.0001169175 5.9019680552 0.8825693191 0.002244573936713 0.8825693191 0.0000747166 5.9017822130 0.8825566591 0.001434468752614 0.8825566591 0.0000477475 5.9016634479 0.8825485686 0.000916721021415 0.8825485686 0.0000305127 5.9015875506 0.8825433983 0.000585836205116 0.8825433983 0.0000194989 5.9015390485 0.8825400943 0.000374378328217 0.8825400943 0.0000124606 5.9015080536 0.8825379829 0.000239244686818 0.8825379829 0.0000079628 5.9014882465 0.8825366336 0.000152887526619 0.8825366336 0.0000050885 5.9014755889 0.8825357713 0.0000977013640

ITERASI SATU TITIKiterasi x g(x) Ea %

1 5.0000000000 0.20106636222 0.2010663622 0.7131594339 71.8062536086

3 0.7131594339 0.9197233848 22.45935618614 0.9197233848 1.0458762363 12.06192923245 1.0458762363 1.1294185655 7.39693251876 1.1294185655 1.1864968748 4.81065820697 1.1864968748 1.2260595369 3.22681411018 1.2260595369 1.2536831130 2.20339381259 1.2536831130 1.2730476499 1.5211164197

1.2730476499 1.2866536558 1.05747229341.2866536558 1.2962267632 0.73853647041.2962267632 1.3029681369 0.51738592661.3029681369 1.3077180269 0.36321973461.3077180269 1.3110659563 0.25535934451.3110659563 1.3134262966 0.17970862111.3134262966 1.3150906466 0.12655781641.3150906466 1.3162643651 0.08917042021.3162643651 1.3170921495 0.06284939581.3170921495 1.3176759901 0.04430835811.3176759901 1.3180877916 0.03124233751.3180877916 1.3183782560 0.02203195231.3183782560 1.3185831392 0.01553813131.3185831392 1.3187276583 0.01095898161.3187276583 1.3188295992 0.00772964691.3188295992 1.3189015067 0.00545207531.3189015067 1.3189522294 0.00384567871.3189522294 1.3189880086 0.00271262951.3189880086 1.3190132470 0.00191342941.3190132470 1.3190310500 0.00134970091.3190310500 1.3190436081 0.00095206121.3190436081 1.3190524665 0.00067157381.3190524665 1.3190587152 0.00047372221.3190587152 1.3190631230 0.00033416001.3190631230 1.3190662322 0.00023571421.3190662322 1.3190684254 0.00016627141.3190684254 1.3190699725 0.00011728691.3190699725 1.3190710638 0.00008273351.3190710638 1.3190718336 0.00005835981.3190718336 1.3190723767 0.00004116671.3190723767 1.3190727597 0.00002903881.3190727597 1.3190730299 0.00002048381.3190730299 1.3190732205 0.00001444921.3190732205 1.3190733549 0.00001019241.3190733549 1.3190734498 0.0000071897

1.3190734498 1.3190735167 0.00000507161.3190735167 1.3190735639 0.00000357751.3190735639 1.3190735972 0.0000025235

s=f(a).f(x) ea%-0.1743452 100.00000000.1742795 33.33333330.0042240 14.2857143

-0.0019217 6.6666667-0.0008171 3.4482759-0.0002767 1.7543860

-0.0000095 0.88495580.0001234 0.44444440.0000275 0.22172950.0000053 0.11074200.0000007 0.05534030.0000000 0.02766250.0000001 0.01383320.0000000 0.00691610.0000000 0.00345790.0000000 0.00172900.0000000 0.00086450.0000000 0.00043220.0000000 0.00021610.0000000 0.00010810.0000000 0.00005400.0000000 0.00002700.0000000 0.00001350.0000000 0.00000680.0000000 0.00000340.0000000 0.00000170.0000000 0.00000080.0000000 0.00000040.0000000 0.00000020.0000000 0.00000010.0000000 0.00000010.0000000 0.00000000.0000000 0.00000000.0000000 0.00000000.0000000 0.0000000

f(xr) s=f(xl)f(xr) ea %-0.2065479925 0.13628 100-0.0499912198 0.01033 9.1134594821

-0.0113460737 0.00057 2.0975166354-0.0025375150 0.00003 0.4706587880-0.0005656400 0.00000 0.1049934497-0.0001259947 0.00000 0.0233909008-0.0000280604 0.00000 0.0052095983

Ea %

0.00174746080.00000212980.00000000000.0000000000