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Kursach Gusev

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??????????? ??????????????? ????????? ??????????????? ?????????? ??????? ????????????????? ???????????
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?? ?????????? "?????????????? ??????????"
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??????? ??. 3-42? ??????? ?.?.
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?.?.?.?. ????. ????? ?.?.
??????? 2011 ?.
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????????? ??????? ????????????????? ?????????, ????????? ?????????, ??????????? ?????????? ??????? ? ?????????? ????? ?????????? ?? ?????????? ?????????
y''+10*y'+650*y = 3900y'= z
x0 = 0z' + 10*z + 650*y = 3900
y0 = 41.3553
y'0= 707.1067
???????? e = 0.0001
?????????? ?????? ??????? ?????-?????.
??? ?????????? ?????? ???????? ????? ???????????? ????? ?.-?. 4?? ???????.
????? ????: ??????? ??????? h = 0.001.
???????? ?????????? ??? ????????????? ?????? ?????-?????: ????????????z'= y''= f(x,y,z)= 3900 - 650*y - 10*z ;
xi+1 = xi + h,
yi+1 = yi + h*(z_i+k_i ),
zi+1 = zi + Si, ???
ki =(ki1+ki2+ki3)/6
Si =(ki1 + 2*ki2 + 2*ki3 + ki4)/6
ki1 = f(xi, yi, zi),
ki2 = f(xi+h/2, yi+h*zi/2+h*k1/8, zi+k1/2),
ki3 = f(xi+h/2, yi+h*zi/2+h*k1/8, zi+k2/2),
ki4 = f(xi+h, yi+h*zi+h*k3/2, zi+k3)
i = 0,2,3...n-1
??? ??????????:
(??? ?????? ???? ?????????? 15 ?????)
h = 0.001
ixiyi0041.355310.00142.047420.00242.709330.00343.340840.00443.941950.00544.512560.00645.052570.00745.561880.00846.040590.00946.4886100.0146.9060110.01147.2928120.01247.6490130.01347.9748140.01448.2701150.01548.5352????? ??? ??????? ? ????????? ????? ?? 15 ? ????? ?????:
h = 0.0005
ixiyi0041.355310.000541.283320.00142.047430.001542.382140.00242.709350.002542.028860.00343.340870.003543.645180.00443.941990.004544.2310100.00544.5125110.005544.7863120.00645.0525130.006545.3110140.00745.5618150.007545.8050?????, ??? yi ??? ?????????? ???????? xi ???????? ? ????????? ?????????. ??????? ??? h = 0.001.
???.1
??????, ??????????? ?? ??????, ????????? ?????? ?????? ?? ??????? 1.
????? ??????????????? ??????? ?? ????????? [0,1.2], ??? ??? ?????????????? ????? ????????? ????? ????? 1.2. h = 0.001
???????????????? ????????? ????? ????????? ??????? ?????????? ?????????:
Pm(x)= C0 + C1*x + C2*x^2+ ... + Cm*x^m, ??? n - ?????????? ????? ????????????,
m - ??????? ??????????.
C0*(n+1)+C1* Sxi + C2* Sxi^2+ ... + Cm* Sxi^m= Syi
C0* Sxi +C1* Sxi^2 + C2* Sxi^3+ ... + Cm* Sxi^(m+1)= Syi*xi
.......................................................................
C0* Sxi^(m-1)+C1* Sxi^m + C2* Sxi^(m+1)+ ... + Cm* Sxi^(2m-1)= Syi*xi^(m-1)
C0* Sxi^m+C1* Sxi^(m+1)+ C2* Sxi^(m+2)+ ... + Cm* Sxi^2m= Syi*xi^m
??????? ????????????? ??????????? ???????????? ??????? ?????????, ? ?? ????? ?????? ??????? ??????-???????.??????????? ?? ? ????????? ????????? ??????? ?? ????? ????? ???????? ??????? ???????.
?????? m = 69. ????? ???????????????? ?????????:
P69(x)= 36.7242 + 1.4122*?10?^3*x -3.8312*?10?^4*x^2+ 2.5210*?10?^5*x^3- 2.7675*?10?^5*x^4- 2.9856*?10?^6*x^5+1.2795*?10?^7*x^6- 1.9884*?10?^7*x^7+ 1.0895*?10?^7*x^8- 2.1292*?10?^6*x^9+ 8.8957*?10?^6*x^10- 3.1830*?10?^6*x^11-1.0283*?10?^7*x^12- 3.0377*?10?^6*x^13+ 1.0571*?10?^7*x^14+ 4.7272*?10?^6*x^15-7.5026*?10?^6*x^16+ 3.9138*?10?^6*x^17- 4.34590*?10?^6*x^18+ 2.2112*?10?^6*x^19- 6.5434*?10?^5*x^20- 1.5003*?10?^6*x^21+ 1.1300*?10?^6*x^22+ 2.0091*?10?^5*x^23+ 4.6270*?10?^5*x^24+ 2.3818*?10?^5*x^25- 7.2799*?10?^5*x^26- 2.3912*?10?^5*x^27+ 7.7669*?10?^5*x^28+ 5.7097*?10?^5*x^29- 7.0505*?10?^5*x^30-1.0558*?10?^5*x^31- 4.0640*?10?^5*x^32+ 3.9680*?10?^5*x^33+ 9.6333*?10?^4*x^34- 3.3166*?10?^5*x^35+ 1.7180*?10?^5*x^36+ 1.4191*?10?^5*x^37- 3.5081*?10?^5*x^38+ 2.2581*?10?^5*x^39- 3.5564*?10?^4*x^40- 1.6293*?10?^4*x^41+ 9.5927*?10?^4*x^42 3.2135*?10?^4*x^43-17.0879 * x^44+ 8.5792*?10?^3*x^45- 3.5227*?10?^4*x^46- 2.7424*?10?^4*x^47-1.1572*?10?^4*x^48- 2.1139*?10?^4*x^49- 4.7024*?10?^3*x^50+ 2.4471*?10?^4*x^51-1.7970*?10?^4*x^52+ 6.5943*?10?^3*x^53+ 4.9387*?10?^3*x^54+ 1.2066*?10?^4*x^55+ 1.0920*?10?^4*x^56- 290.7302 *x^57- 6.6617*?10?^3*x^58- 8.6868*?10?^3*x^59+ 3.1731*?10?^3*x^60- 1.7876*?10?^3*x^61+ 1.3576*?10?^3*x^62-1.0201*?10?^3*x^63- 562.9698 *x^64+ 2.3518*?10?^3*x^65-1.1299*?10?^3*x^66+ 145.4275 *x^67+ 652.9650 *x^68- 444.6239 *x^69
?????? ????? ?????????? ????? ??????????? ?? ???.1 (?????????? ??????).
??????????? ??????????? ??????? ?????????? ?????????? ?????????:
d = S(P(xi)-yi)^2
(???????? ????????? ?? 10-15 ???????? ?? ?????? ????????, ??? ??? ????? 1200 ????????, ????????, ????????)
ixiyiP(x)0041,355325,282610.00142,047428,131920.00242,709330,813030.00343,340833,331340.00443,941935,691850.00544,512537,899560.00645,052539,959370.00745,561841,876080.00846,040543,654390.00946,488645,2987100.0146,906046,8138110.01147,292848,2040120.01247,649049,4735130.01347,974850,6265...............................................................................960.0964,6451-0,7210970.0973,8835-1,3756980.0983,1308-2,0130990.0992,3875-2,63331000.11,6539-3,23631010.1010,9304-3,82201020.1020,2174-4,39031030.103-0,4848-4,94121040.104-1,1758-5,47481050.105-1,8553-5,99091060.106-2,5229-6,48961070.107-3,1784-6,97101080.108-3,8214-7,88181090.109-4,4517-8,31131100.11-5,0689-8,7237..............................................................................1950.195-5,0008-1,36261960.196-4,5615-1,05081970.197-4,1198-0,73971980.198-3,6758-0,42951990.199-3,2301-0,12022000.2-2,78280,18782010.201-2,33430,49452020.202-1,88480,79982030.203-1,43481,10352040.204-0,98431,40542050.205-0,53391,70552060.206-0,08372,00362070.2070,36592,29962080.2080,81472,59332090.2091,26242,8847..................................................................................3780.3780,52584,73673790.3790,42544,65043800.3800,32954,56563810.3810,23834,48243820.3820,15174,40073830.3830,06974,32063840.384-7.5655*10^-34.24203850.385-0,08024,16513860.386-0,14824,08993870.387-0,21154,01623880.388-0,27023,94433890.389-0,32433,87403900.390-0,37373,80543910.391-0,41853,73853920.392-0,45873,6734..............................................................................4120.412-0,34702,74404130.413-0,29922,71654140.414-0,24772,69074150.415-0,19272,66684160.416-0,13432,64464170.417-0,07252,62424180.418-7.3574*10^-32.60554190.4190,06102,58874200.4200,13252,57354210.4210,20722,56014220.4220,28482,54854230.4230,36532,53854240.4240,44872,53034250.4250,53482,52374260.4260,62362,5188
d = S(P(xi)-yi)^2= 2.3342*?10?^3
?? ???.1 ?????, ??? ?? ??????????, ???????? ?????? [0,0.53] ?????? P(x) ???????? ?????? ???????? ? ??????? ???????? ??????? ?, ? ?? ?????????? [0.53,1.2] ??????????? ???????????. ??? ? ?????????? ????? ??????? ???????????. ???? ?? ??????? ????????? ??????? ?? 69, ? 68, ??????? ??????????? d68 = S(P(xi)-yi)^2= 5.0352*?10?^3, ??? ??????? ?????? d69. ???? ?? ??????? ??????? 70, ?? ??????? ??????????? d70 = S(P(xi)-yi)^2= 2.3338*?10?^3, ??? ????????????????????? ??????d69. ???? 70-? ??????? ?????????? ??????? ??????????? ?? ?????????? [0.53,1.2], ? ??? ???????? ? ??????? ??????? ??????????? (??????? 10:4 ? ????).
(???????? 1-? 14 ? ????????? 15 ?????)
ixiyiP(x)0041,355314,752510,00142,047418,960320,00242,709322,913330,00343,340826,620540,00443,941930,090450,00544,512533,331360,00645,052536,351470,00745,561839,158680,00846,040541,760690,00946,488644,1651100,0146,906046,3794110,01147,292848,4106120,01247,649050,2658130,01347,974851,9517...................................................................................11861,1865,88963,314311871,1875,89203,624411881,1885,89453,987211891,1895,89704,406411901,195,89954,885911911,1915,90215,429911921,1925,90486,042511931,1935,90746,728211941,1945,91017,491811951,1955,91298,338011961,1965,91569,271911971,1975,918410,298811981,1985,921211,424211991,1995,924112,653912001,25,924113,9939
d = S(P(xi)-yi)^2= 2.3338*?10?^3
??? ?????, ??????????? ????? ??????. ????????, ?????????? ??????????????? ???? ??????? ?? ?????? ????????? ? ?????????? ??????? ???????????? ????? ???????????. ??????? ????????? ???????? ?? 2 ????? ? ??? ?????? ????????? ???? ???????????????? ?????????.
??? ????????? ????? - 1200 - ????? ?? ??? ?? 400.
???????? ??? ?????????: [0,0.4], [0.401,0.8], [0.801,1.2]. ????????????? ??????? ?? ????????? [0,400].
?????? m = 19.
??????? ????????????? ??????? ????????? ???????? ?????????, ??????? ?? ????? ?? ??????????? ? ???????? ????? ? ???????. ????? ??????? ??????-???????, ????????:
P_19 (x)= 41.3550 + 707.3591 *x -1.5061*?10?^4*x^2- 2.4565*?10?^4*x^3+8.2362*?10?^5*x^4+ 6.4084*?10?^4*x^5- 2.7756*?10?^7*x^6+ 1.0677*?10?^8*x^7-1.1454*?10?^8*x^8- 2.2029*?10?^7*x^9- 2.5698*?10?^8*x^10+ 8.9686*?10?^8*x^11-1.7257*?10?^9*x^12+ 7.9223*?10?^9*x^13-1.1848*?10?^10*x^14+ 3.1350*?10?^9*x^15-1.3312*?10?^11*x^16 +5.8414*?10?^11*x^17- 8.9212*?10?^11*x^18+ 4.8012*?10?^11*x^19
???????? 1-? 14 ? ????????? 15 ?????.
ixiyiP(x)0041,355341,355010,00142,047442,047320,00242,709342,709330,00343,340843,340940,00443,941943,942150,00544,512544,512760,00645,052545,052770,00745,561845,562180,00846,040546,040790,00946,488646,4888100,0146,906046,9061110,01147,292847,2929120,01247,649047,6491130,01347,974847,97483860,386-0,1482-0,14823870,387-0,2115-0,21153880,388-0,2702-0,27023890,389-0,3243-0,32423900,39-0,3737-0,37373910,391-0,4185-0,41853920,392-0,4587-0,45873930,393-0,4944-0,49443940,394-0,5254-0,52553950,395-0,5520-0,55203960,396-0,5740-0,57413970,397-0,5916-0,59173980,398-0,6047-0,60483990,399-0,6135-0,61354000,4-0,6179-0,6178
d = S(P(xi)-yi)^2 = 5.9186*?10?^(-6)
?????????, ?????? ?? ?????????? ?????? ????????. ??????? ??????? ??????????.
m = 20
P20 (x)= 41.3540 + 707.7932 *x - 1.5105*?10?^4*x^2- 2.2701*?10?^4*x^3+ 7.8177*?10?^5*x^4+ 6.1473*?10?^5*x^5- 3.2224*?10?^7*x^6+ 1.2950*?10?^8*x^7- 1.8708*?10?^8*x^8+ 1.2948*?10?^8*x^9-5.1841*?10?^8*x^10+ 1.2694*?10?^9*x^11-1.5656*?10?^9*x^12+ 8.0580*?10?^9*x^13- 2.2744*?10?^10*x^14+ 2.0618*?10?^10*x^15-1.0856*?10?^11*x^16 + 7.1131*?10?^11*x^17-1.8650*?10?^12*x^18+ 2.2780*?10?^12*x^19- 1.1014*?10?^12*x^20
d = S(P(xi)-yi)^2 = 5.7321*?10?^(-6)- ?????? ????????????? ??????. ??????????? ??????? ?????????? ??? ????? ?????? - 19. (??? ??????? 18 ???????? ?????? d = S(P(xi)-yi)^2 = 0.0126, ????????????????? ?? ????????????? ????? ????????).
?????? ??????????? ?????????? ???????? ?? ???.2. ??? ?????, ?? ??????????? ????????? ? ???????? ??????? ?? [0,0.4]???.2
???????????????? ?? ??????? [0.401,0.8]
????? ??????? ??????? m = 25:
P25(x)= -4.9561*?10?^3+ 5.0032*?10?^4*x -1.6558*?10?^5*x^2+ 1.3675*?10?^5*x^3+ 2.3433*?10?^5*x^4-2.4135*?10?^5*x^5-1.9366*?10?^3*x^6-7.7262*?10?^5*x^7-2.2713*?10?^5*x^8+ 9.1937*?10?^5*x^9+ 6.3312*?10?^6*x^10-5.1222*?10?^6*x^11-1.0581*?10?^7*x^12+ 1.1174*?10?^7*x^13+ -5.0476*?10?^4*x^14+ -1.7980*?10?^7*x^15+ 1.3856*?10?^7*x^16+ 4.6850*?10?^7*x^17- 5.7946*?10?^6*x^18-1.0519*?10?^8*x^19+ 1.4703*?10?^7*x^20+ 8.1288*?10?^7*x^21- 4.7065*?10?^7*x^22+ 1.3963*?10?^8*x^23-2.0238*?10?^8*x^24+ 8.0463*?10?^7*x^25
???????? 1-? 15 ? ????????? 15 ?????.
ixiyiP(x)4010,401-0,6179-0,61334020,402-0,6138-0,60994030,403-0,6052-0,60234040,404-0,5926-0,59034050,405-0,5758-0,57424060,406-0,5549-0,55394070,407-0,5300-0,52954080,408-0,5011-0,50114090,409-0,4683-0,46884100,41-0,4316-0,43254110,411-0,3912-0,39234120,412-0,3470-0,34844130,413-0,2992-0,30084140,414-0,2477-0,24964150,415-0,1927-0,1947...............................................................................7860,7866,98216,98217870,7876,97656,97657880,7886,97046,97037890,7896,96366,96357900,796,95646,95617910,7916,94866,94837920,7926,94026,93997930,7936,93136,93107940,7946,92196,92167950,7956,91206,91177960,7966,90176,90147970,7976,89086,89077980,7986,87956,87957990,7996,86776,86818000,86,85546,8563
d = S(P(xi)-yi)^2 = 3.4574*?10?^(-5)- ??????????? ????? ????????? ????????? ?/?????????? 25-? ???????.
????????, ?? ???? ?? ????????? ??????? 26 ?????? ????????:
m = 26. P26(x)= -6.3462*?10?^3+ 6.1687*?10?^4*x -1.8735*?10?^5*x^2+ 6.4797*?10?^4*x^3+ 5.3740*?10?^5*x^4-3.4107*?10?^5*x^5- 9.8540*?10?^5*x^6+ 5.7462*?10?^5*x^7+2.3189*?10?^5*x^8- 8.7880*?10?^5*x^9+ 5.9405*?10?^6*x^10- 1.1296*?10?^6*x^11-1.1794*?10?^7*x^12+ 7.2123*?10?^5*x^13+ 1.4856*?10?^7*x^14- 2.7270*?10?^7*x^15+ 3.5897*?10?^7*x^16- 1.8239*?10?^6*x^17+ 3.8027*?10?^7*x^18-1.1311*?10?^8*x^19+ 2.0965*?10?^7*x^20+ 5.3790*?10?^7*x^21- 4.5861*?10?^7*x^22+ 7.0504*?10?^7*x^23+7.5638*?10?^7*x^24- 2.1635*?10?^8*x^25+ 1.0211*?10?^8*x^26
??????? ???????????. ?????????? ????? ????????? ?/?????????? 26 ??????? ?????:
d = S(P(xi)-yi)^2 = 3.4592*?10?^(-5). ?????? ?????????????? ????? ?? ? ???? ???? ?????? ??-?? ??????????????? ???????????.
????????, ?? ????? ?? ??????????? ????????? ??????? 24, ??????? ?????? d = S(P(xi)-yi)^2*29.6191*?10?^(-4), ??????? ?????? ?????????? ??? 25-? ???????. ????? ???????, ??????????? ?????????, ??????????? ??????? ?? ?????? ?????????, ????? ??????? 25.
?????? ??????????? ?????????? ???????? ?? ???.3. ??? ?????, ?? ??????????? ????????? ? ???????? ??????? ?? [0.401,0.8]
???.3
???????????????? ?? ??????? [0.801,1.2]
m = 20:
P20(x)= 3.8803*?10?^3-1.3895*?10?^4*x - 5.2206*?10?^3*x^2+ 6.0557*?10?^4*x^3- 3.2023*?10?^4*x^4- 5.2627*?10?^4*x^5- 7.3220*?10?^3*x^6+ 6.9511*?10?^4*x^7+4.5170*?10?^3*x^8+ 7.5116*?10?^3*x^9- 4.4777*?10?^4*x^10- 1.6317*?10?^4*x^11+ 8.2639*?10?^3*x^12+ 2.2033*?10?^4*x^13+ 4.1909*?10?^3*x^14+ 3.7323*?10?^3*x^15-1.2084*?10?^4*x^16- 6.1017*?10?^3*x^17+ 3.4689*?10?^3*x^18+ 5.0056*?10?^3*x^19- 2.2977*?10?^3*x^20
???????? 1-? 15 ? ????????? 15 ?????.
ixiyiP(x)8010,8016,82976,83688020,8026,81626,82508030,8036,81246,81278040,8046,79986,79988050,8056,78656,78658060,8066,77286,77278070,8076,75876,75848080,8086,74406,74378090,8096,72896,72868100,816,71156,71318110,8116,69526,69728120,8126,67876,68098130,8136,66186,66438140,8146,64476,64748150,8156,62746,6302...........................................................................11861,1865,88965,888911871,1875,89205,891511881,1885,89455,894111891,1895,89705,896811901,195,89955,899511911,1915,90215,902211921,1925,90485,905111931,1935,90745,907911941,1945,91015,910811951,1955,91295,913611961,1965,91565,916511971,1975,91845,919411981,1985,92125,922311991,1995,92415,925212001,25,92415,9281
d = S(P(xi)-yi)^2 = 1.0003*?10?^(-4)- ??????????? ????? ????????? ?????????.
???????? ?????? ?????????? ??????? 21:
m = 21.
P21(x)= -8.5600*?10?^3+ 2.8505*?10?^4*x -1.8896*?10?^4*x^2- 1.9744*?10?^4*x^3-1.9744*?10?^4*x^4- 2.7569*?10?^3*x^5+ 3.1655*?10?^4*x^6- 1.8429*?10?^4*x^7- .4818*?10?^3*x^8- 1.2470*?10?^4*x^9+ 2.2619*?10?^3*x^10+ 1.9221*?10?^4*x^11- 7.3976*?10?^3*x^12+ 2.5122*?10?^3*x^13- 2.9448*?10?^3*x^14- 3.0373*?10?^3*x^15+2.5434*?10?^3*x^16- .0214*?10?^3*x^17+ 4.0042*?10?^3*x^18+ 220.6678 *x^19- 2.2101*?10?^3*x^20+ 752.3415 *x^21
d = S(P(xi)-yi)^2 = 8.2049*?10?^(-4). ?????? ????? ??????? ??????????? ?? ????????? ? ???????, ?????????? ???? ??? ??????? 20. ??????? ??????? ?????? ?? ?????????. ?????????? ?????? ??? ?????????? 19-? ???????. d = S(P(xi)-yi)^2 = 6.7735*?10?^(-3). ?????? ?? ??????? ????, ??? ??? ??????? 20. ??????????? ??????????? ???????? P20(x). ?????? ??????????? ?????????? ???????? ?? ???.4. ??? ?????, ?? ??????????? ????????? ? ???????? ??????? ?? [0.801,1.2]
???.4
? ?????? ????????? ??????? ??????????? ???????????? ?????????? - ???????? 3-? ???????.
??? ??????? [x1,x2] ??????? ????? ????????? ???:
F(x)= A*x^3+ B*x^2+ C*x + D
???????????? ???????? ?????? ?? ????????? ???????:
A*x1^3+ B*x1^2+ C*x1 + D = P(x1)
A*x2^3+ B*x2^2+ C*x2 + D = P(x2)
3*A*x1^2+ 2*B*x1 + C = P(x1)'
3*A*x2^2+ 2*B*x2 + C = P(x2)'
???P(x) - ???????????????? ?????????, ????????? ??? ??????? ???????.
?? ??????? [0.4,0.401] ????????:
A*0.064 + B*0.16 + C*0.4 + D = -0.6177
A*0.0645 + B*0.1608 + C*0.401 + D = -0.6133
A*0.48 + B*0.8 + C = -2.1210
A*0.4824 + B*0.802 + C = 1.2207
???????? ????????? F(x)= 24.161*x^3+ 31.974*x^2- 7.8597*x + 2.0895
?? ??????? [0.8,0.801] ????????:
A*0.512 + B*0.64 + C*0.8 + D = 6.8563
A*0.5139 + B*0.6416 + C*0.801 + D = 6.8368
A*1.92 + B*1.6 + C = -11.9440
A*1.9248 + B*1.602 + C = -11.5020
?????????????????F(x)= 30.2024*x^3+7.5154*x^2- 18.892*x - 1.6964
????????? ?????? ?? ?????????. e = 0.0001
??? ????? ?? ???????, ??????? y?????????? ??? Ox 4 ????, ?? ???? ????? ?? ????????? [0..1.2] 4 ?????. ?? ?????? ???????? ??????? ???????????, ?.?. ??????? y?? ?????? ????????????.
????? y = g(x). ?????:
xn+1 = xn - [g(xn)/(g(xn)-g(a) )]*(xn-a), ??? ?? xn+1 = xn - [g(xn)/(g(b)- g(xn) )]*(b-xn),???a,b - ????????????????????????????, ?????????????????????????. ????? ??????????? ??????? (??????? ?? ?) ??????? ?? ???????: g(c)*g''(c)>0, ??? ???? ??? ???? ??????????? xi ??????????? ???????: g(xi)* g''(xi)<0.
1-? ?????? ?????????? ?? [0.1,0.115], ?.?. ? = 0.1, b = 0.115. g''(?)>0 (?????? ???????), g(?) =1.6539>0. ??????, xn+1 = xn - [g(xn)/(g(xn)-g(a) )]*(xn-a).
ixig(xi)00.1150-7.950710.1026-0.205320.10235.5753*10^-330.1023x2=x3. ?? 2? ???????? ???????? x = 0.1023.
2? ?????? ?????????? ?? [0.205,0.207], ?.?. ? = 0.205, b = 0.207. g''(?)<0 (?????? ????????), g(?)= -0.5339 <0. ??????, xn+1 = xn - [g(xn)/(g(xn)-g(a) )]*(xn-a).
ixig(xi)00.20700.365910.20650.141220.20630.051330.20626.2637*10^-340.2062
x3=x4. ?? 3-? ???????? ???????? x = 0.2062.
3? ?????? ?????????? ?? [0.38,0.4], ?.?. ? = 0.38, b = 0.4. g''(?)>0 (?????? ????????), g(?)= 0.3295 >0. ??????, xn+1 = xn - [g(xn)/(g(xn)-g(a) )]*(xn-a).
ixig(xi)00.4000-0.617910.3870-0.211520.3843-0.029930.3840-7.5654*10^-340.3840
x3=x4. ?? 3-? ???????? ???????? x = 0.3840.
4? ?????? ?????????? ?? [0.417,0.42], ?.?. ? = 0.417, b = 0.42. g''(a)<0 (?????? ???????), g(?)= -0.07249 <0. ??????, xn+1 = xn - [g(xn)/(g(xn)-g(a) )]*(xn-a).
ixig(xi)00.420.132510.4181-6.6486*10^-420.4181
x1=x2. ?? 1-? ?? ???????? ???????? x = 0.4181.
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