37
X Y -10 949.9999546 -9 773.99987659 -8 615.99966454 -7 475.99908812 -6 353.99752125 -5 249.99326205 -4 163.98168436 -3 95.950212932 -2 45.864664717 -1 13.632120559 0 -1 1 1.2817181715 2 18.610943901 3 45.914463077 4 69.401849967 5 51.586840897 6 -109.42879349 7 -690.63315843 8 -2444.957987 9 -7419.0839276 10 -21176.465795 f(x)=X^ -15 -10 -5 -25000 -20000 -15000 -10000 -5000 0 5000 Chart Ti

Metodos de Analisis Numericos

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analisis numerico

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BISECCIONf(x)=X^3-x2-1=9XY-10949.9999546001iabXrf(a)f(b)f(xr)f(a)*f(xr)-9773.99987659020565.551.5868408974-109.42879349270.05806773582.9955310469-8615.999664537415.565.750.0580677358-109.4287934927-45.3781602857-2.6350070216-7475.99908811825.55.755.6250.0580677358-45.3781602857-20.6316595231-1.1980337539-6353.997521247835.55.6255.56250.0580677358-20.6316595231-9.8130497872-0.5698215822-5249.99326205345.55.56255.531250.0580677358-9.8130497872-4.7629989193-0.2765765628-4163.981684361155.55.531255.5156250.0580677358-4.7629989193-2.3243222414-0.1349681298-395.950212931665.55.5156255.50781250.0580677358-2.3243222414-1.1261505582-0.0653930131-245.864664716875.55.50781255.503906250.0580677358-1.1261505582-0.53230458-0.0309097217-113.632120558885.55.503906255.5019531250.0580677358-0.53230458-0.236685129-0.01374376950-195.55.5019531255.50097656250.0580677358-0.236685129-0.0892004874-0.005179670311.2817181715105.55.50097656255.50048828120.0580677358-0.0892004874-0.0155393378-0.0009023342218.6109439011115.55.50048828125.50024414060.0580677358-0.01553933780.02127095670.0012351563345.9144630768125.50024414065.50048828125.50036621090.0212709567-0.01553933780.00286749910.0000609944469.4018499669135.50036621095.50048828125.50042724610.0028674991-0.0155393378-0.0063354969-0.000018167551.5868408974145.50036621095.50042724615.50039672850.0028674991-0.0063354969-0.0017338933-0.00000497196-109.4287934927155.50036621095.50039672855.50038146970.0028674991-0.00173389330.00056682930.00000162547-690.6331584285165.50038146975.50039672855.50038909910.0005668293-0.0017338933-0.0005835254-0.00000033088-2444.9579870417175.50038146975.50038909915.50038528440.0005668293-0.0005835254-0.0000083464-0.00000000479-7419.0839275754185.50038146975.50038528445.50038337710.0005668293-0.00000834640.00027924190.000000158310-21176.4657948067195.50038337715.50038528445.50038433070.0002792419-0.00000834640.00013544780.0000000378205.50038433075.50038528445.50038480760.0001354478-0.00000834640.00006355080.0000000086215.50038480765.50038528445.5003850460.0000635508-0.00000834640.00002760220.0000000018225.5003850465.50038528445.50038516520.0000276022-0.00000834640.00000962790.0000000003235.50038516525.50038528445.50038522480.0000096279-0.00000834640.00000064080245.50038522485.50038528445.50038525460.0000006408-0.0000083464-0.0000038528-0255.50038522485.50038525465.50038523970.0000006408-0.0000038528-0.000001606-0265.50038522485.50038523975.50038523230.0000006408-0.000001606-0.0000004826-0275.50038522485.50038523235.50038522850.0000006408-0.00000048260.00000007910285.50038522855.50038523235.50038523040.0000000791-0.0000004826-0.0000002018-0295.50038522855.50038523045.50038522950.0000000791-0.0000002018-0.0000000614-0305.50038522855.50038522955.5003852290.0000000791-0.00000006140.00000000880315.5003852295.50038522955.50038522920.0000000088-0.0000000614-0.0000000263-0325.5003852295.50038522925.50038522910.0000000088-0.0000000263-0.0000000087-0335.5003852295.50038522915.50038522910.0000000088-0.00000000870.00000000010345.50038522915.50038522915.50038522910.0000000001-0.0000000087-0.0000000043-0355.50038522915.50038522915.50038522910.0000000001-0.0000000043-0.0000000021-0365.50038522915.50038522915.50038522910.0000000001-0.0000000021-0.000000001-0375.50038522915.50038522915.50038522910.0000000001-0.000000001-0.0000000005-0385.50038522915.50038522915.50038522910.0000000001-0.0000000005-0.0000000002-0395.50038522915.50038522915.50038522910.0000000001-0.0000000002-0.0000000001-0405.50038522915.50038522915.50038522910.0000000001-0.000000000100415.50038522915.50038522915.50038522910-0.0000000001-0-0425.50038522915.50038522915.50038522910-0-0-0435.50038522915.50038522915.50038522910-0-0-0445.50038522915.50038522915.50038522910-0-0-0455.50038522915.50038522915.50038522910-000465.50038522915.50038522915.50038522910-0-0-0475.50038522915.50038522915.50038522910-0-0-0485.50038522915.50038522915.50038522910-000495.50038522915.50038522915.50038522910-0-0-0505.50038522915.50038522915.50038522910-000515.50038522915.50038522915.50038522910-000525.50038522915.50038522915.50038522910-000535.50038522915.50038522915.50038522910-000545.50038522915.50038522915.50038522910-000

Hoja1

SECANTEinteraccionXi(Xi-Xi-1)f(Xi)f(Xi-1)0-3114-10-4622.11111111111.111111111119.4334705075-731.2942397509-0.8168713602-1.539564675419.433470507541.35420371320.0599639623-0.30679703-1.539564675451.36912685430.01492314110.0067249406-0.3067970361.368806758-0.0003200963-0.0000284770.006724940671.36880810770.0000013497-0.0000000026-0.00002847781.36880810780.00000000010-0.000000002691.3688081078000

raices de polinomiosx^15x^14x^13x^12x^11x^10x^9x^8x^7x^6x^5x^4x^3x^2x^1x^0Dx^5x^4x^3x^2x^1x^0D30-50-4010-60-1201010-18910-12-3-15.6127243214219278173466156119414050755126456795113811110110242999909921869990738296829916577467146925003672043223250366048389009253245.6131.4721170.948481970.240978415426.22188888013272382142192741734661561195140507551264567891138111101102429998979218699907382968299166774671469250046720432232503660483890092530615.6130.4721172.948481967.240978415425.2218888801COCIENTERECIDUOCOCIENTERECIDUO

15.6130.4721172.948481967.240978415425.22188888015.615.6162.9442524.0654433910.2481136427362.7138064005111.2293.4163697.0139244877.4890920532787.9356952806COCIENTERECIDUO

111.2293.4163697.0139244877.4890920532787.93569528065.615.6194.41631053.7408869821.734484182462.6442622015116.83187.83261750.7548114699.22357615115250.579957482COCIENTERECIDUO

Hoja2

RAPSON

F(X)=X3 -2X2-8

XF(X)F(X)

6X3 -2X2-83X2-4X

613684

4.38095238137.697008962340.0544217687

3.43980762599.036201942121.7375990068

3.02411305271.365779886315.339327056

2.93507525590.055361722614.1036992494

2.93114992240.000104796114.0503199133

2.93114246380.000000000414.0502185738

2.9311424638014.0502185734

2.9311424638014.0502185734

2.9311424638014.0502185734

PUNTO FIJO55ARRANQUE-0.5error aproximadog(x)X10.32869386810.4120529873-61558282121136140000000X2-0.08335911930.0881372819X3-0.17149640120.0559555693X4-0.11554083180.0386065763X5-0.15414740810.025488838X6-0.12865857010.017400805X7-0.14605937520.01163811X8-0.13442126510.0078987387X9-0.14232000390.0053102424X10-0.13700976150.0035935669X11-0.14060332840.0024212841X12-0.13818204430.0016362819X13-0.13981832630.0011035842X14-0.1387147420.0007453153X15-0.13946005730.0005028978X16-0.13895715950.0003395366X17-0.13929669610.0002291466X18-0.13906754950.0001546899X19-0.13922223940.0001044067X20-0.13911783270.1391178327

RAPSON POLINOMIOSPOLINOMIOX^15+X^12-10X^5-9X+8X1X1x^15x^14x^13x^12x^11x^10x^9x^8x^7x^6x^5x^4x^3x^2x^1x^0D1001000000-10000-988RAPSON FORMULA86451241043283226265621012481680998413447987210758389768606711728688536938245508295505924406636404736352530912378167.466458661718645134104328322626562101248168099841344798721075838966860671172868853693824550829550592440663640472735253091237824COCIENTERECIDUO

1864513410432832262656210124816809984134479872107583896686067117286885369382455082955059244066364047278812815361639216396815744001469644813438156812095324161075209830494623498160825841679104715756298342461667140272128116192204920496196800183705616797696151191552134401228811827937270103230209888894695372928770839253401666073776676855COCIENTERECIDUOX2X1x^15x^14x^13x^12x^11x^10x^9x^8x^7x^6x^5x^4x^3x^2x^1x^0D1001000000-10000-987.4664586617RAPSON FORMULA7.466458661755.7480049462416.24017440023115.306514139823260.3073062028173672.1229591031296715.726755629681874.3697359272289314.7489489539745180.2522344029985001.5150530089716420.8929224663623797.4521677441659860.7912524548810617.66.968456044317.466458661755.7480049462417.24017440023115.306514139823260.3073062028173672.1229591031296715.726755629681874.3697359272289314.7489489539745170.2522344029985001.5150530089716420.8929224663623797.4521677441659851.7912524548810625.6COCIENTERECIDUO

17.466458661755.7480049462417.24017440023115.306514139823260.3073062028173672.1229591031296715.726755629681874.3697359272289314.7489489539745170.2522344029985001.5150530089716420.8929224663623797.4521677441659851.797.46645866177.4664586617111.49600989231248.720523200612438.8266805744116134.2925161751040784.017231429067686.5671229477385381.2799836650084065.0921865393570978.8622444300859753.8801360860254448.9172919011796273.823472122569615.9114.9329173233167.24401483851665.960697600815554.1331947142139394.5998223781214456.1401905210364402.293878687067255.6497196722373379.8411355933316149.1144848330844755.3952390949970869.813143675420071.2525149564229467.7COCIENTERECIDUOX3X1x^15x^14x^13x^12x^11x^10x^9x^8x^7x^6x^5x^4x^3x^2x^1x^0D1001000000-10000-986.9684560443RAPSON FORMULA6.968456044348.5593796419338.38390257462364.981807246416480.2717694531114842.049424162800271.7734538555576658.6768368338860700.8638082270799085.8215781887051456.7097513149835129.484191634048090.0889638547836280.454449692529264.126.503618389216.968456044348.5593796419339.38390257462364.981807246416480.2717694531114842.049424162800271.7734538555576658.6768368338860700.8638082270799075.8215781887051456.7097513149835129.484191634048090.0889638547836271.454449692529272.12COCIENTERECIDUO

16.968456044348.5593796419339.38390257462364.981807246416480.2717694531114842.049424162800271.7734538555576658.6768368338860700.8638082270799075.8215781887051456.7097513149835129.484191634048090.0889638547836271.456.96845604436.968456044397.11875928371015.15170772379439.021860852482255.6807083397688037.1448372495594828.3741233844563974.2775252349402796.7777092705597116.9354720740886039.7596157681787818.1521190432655493.368934025469829.35113.9369120887145.67813892561354.535610298211804.003668098898735.9524777928802879.1942614116395100.1475772350140632.9543621388263497.6415172976396192.7570522627937496.4693170831622947.6361282066703583.459572573306100.8COCIENTERECIDUOX4X1x^15x^14x^13x^12x^11x^10x^9x^8x^7x^6x^5x^4x^3x^2x^1x^0D1001000000-10000-986.5036183892RAPSON FORMULA6.503618389242.2970521523275.08388618641795.544239162811677.534532434175946.2283256118493925.2871285383212301.5802581520891583.6290107135870887.469063883652337.2640175746937590.2864237375888993.7494243078518972.3021580889925948.36.069729534516.503618389242.2970521523276.08388618641795.544239162811677.534532434175946.2283256118493925.2871285383212301.5802581520891583.6290107135870877.469063883652337.2640175746937590.2864237375888993.7494243078518963.3021580889925956.3COCIENTERECIDUO

16.503618389242.2970521523276.08388618641795.544239162811677.534532434175946.2283256118493925.2871285383212301.5802581520891583.6290107135870877.469063883652337.2640175746937590.2864237375888993.7494243078518963.3026.50361838926.503618389284.5941043046825.25165855937162.666101483558260.7815057139454852.1182951113452109.8880374525663506.9296243187797239.2277781357232465.951119710574361.237768900807575.6886485480448173.4633400458089308.42113.0072367784126.89115645691101.33554474578958.210340646269938.316038148530798.3466207233946035.1751659828875808.5098825208688822.8567891493103343.4201710594226698.501774647745165.975522856337167.2123643536608271.73COCIENTERECIDUOX1X5X1x^15x^14x^13x^12x^11x^10x^9x^8x^7x^6x^5x^4x^3x^2x^1x^0D1001000000-10000-986.0697295345RAPSON FORMULA6.069729534536.8416166221223.61864851071363.37444486798275.314134616150228.9186102586304875.9507753751850514.5627842711232122.895779568175948.0758014413809504.8818742511711773.4440415245411133.459392535522222.5628561665592171.3185.664720319116.069729534536.8416166221224.61864851071363.37444486798275.314134616150228.9186102586304875.9507753751850514.5627842711232122.895779568175938.0758014413809504.8818742511711773.4440415245411133.459392535522213.5628561665592179.318COCIENTERECIDUO

16.069729534536.8416166221224.61864851071363.37444486798275.314134616150228.9186102586304875.9507753751850514.5627842711232122.895779568175938.0758014413809504.8818742511711773.4440415245411133.459392535522213.56286.06972953456.069729534573.6832332443670.85594553215435.288590868141266.045823214300702.6557160192130059.7412816314779401.0847201100939090.16213680848924.8198344546378332.4027730106998612.7026197986749808.5461294261544977.88112.139459069110.5248498664895.47459404286798.66303573649541.3599578301350931.5743262782434935.69205716629915.6475044112171213.05791749024862.8956354960187837.2846432618710386.1467213232160942.0051386797067191.45COCIENTERECIDUOX6X1x^15x^14x^13x^12x^11x^10x^9x^8x^7x^6x^5x^4x^3x^2x^1x^0D1001000000-10000-985.6647203191RAPSON FORMULA5.664720319132.0890562932181.77552920321035.37225410415865.094245612333224.1185463114188205.3394120881066130.61032296039331.7310660534211125.1705027193796399.2439871097802400.557736218743564.7502135227443030.2529199553612270.9565.286658681915.664720319132.0890562932182.77552920321035.37225410415865.094245612333224.1185463114188205.3394120881066130.61032296039331.7310660534211115.1705027193796399.2439871097802400.557736218743564.7502135227443021.2529199553612278.956COCIENTERECIDUO

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