Profesor Margarito Filomeno Nicolas 2022-01-04T01:09:33Z 2022-12-31T02:13:10Z 16.00 836318a7-025e-496d-8d66-beb15bdd159a 6540 21765 32767 32767 False False Universidad Autónoma Metropolitana. Unidad Lerma. Ajuste de curvas: tablas equiespaciadas ejercicio 08 Autores: Dra. Blanca Rafaela Silva López, M. en C. Hugo Pablo Leyva Colaborador: Iván Córdova de la Fuente Revisor: Margarito Filomeno Nicolás Fecha: 10/11/2022 Ejercicio 8 - Ajuste de curvas - Equiespaciadas Hallar los valores solicitados con las curva solicitada x y P1 y( 19.419499999999999 ) 17.270700000000001 5.1319299999999997 P2 y( 17.1981 ) 17.3766 5.10243 P3 x( 5.1083699999999999 ) 17.482399999999998 5.0730500000000003 P4 x( 4.3111600000000001 ) 17.5883 5.0437900000000004 17.694199999999999 5.01464 Ajustar a la curva: 17.8001 4.9856100000000003 17.905899999999999 4.9566999999999997 Mejor curva 18.011800000000001 4.9279000000000002 18.117699999999999 4.8992100000000001 18.223600000000001 4.8706399999999999 18.3294 4.8421700000000003 18.435300000000002 4.8138100000000001 18.5412 4.7855699999999999 18.647099999999998 4.7574199999999998 18.753 4.7293900000000004 18.858799999999999 4.70146 18.964700000000001 4.6736399999999998 19.070599999999999 4.6459200000000003 19.176500000000001 4.6182999999999996 19.282299999999999 4.5907799999999996 19.388200000000001 4.5633600000000003 19.4941 4.5360399999999998 19.600000000000001 4.5088299999999997 19.7058 4.4817099999999996 19.811699999999998 4.4546799999999998 19.9176 4.4277499999999996 20.023499999999999 4.4009200000000002 20.129300000000001 4.37418 20.235199999999999 4.3475400000000004 20.341100000000001 4.3209900000000001 Criterio de Convergencia ND Tol NCSINV TolINV NumPtos MaxIter 5 4.9999999999999996E-6 6 4.9999999999999996E-6 30 28 Ajuste a curva polinomial Ajuste a curva exponencial Ajuste a curva potencial n 1 n 2 n 3 n 4 n 5 A*exp(B*x) A*x^B x y ∑x ∑x² ∑y ∑yx y_p ∑(y-y_p)² σ_xy Checa σ_xy Checa n ∑x³ ∑x⁴ ∑yx² y_p ∑(y-y_p)² σ_xy Checa σ_xy Checa OSC Checa n ∑x⁵ ∑x⁶ ∑yx³ y_p ∑(y-y_p)² σ_xy Checa σ_xy Checa OSC Checa n ∑x⁷ ∑x⁸ ∑yx⁴ y_p ∑(y-y_p)² σ_xy Checa σ_xy Checa OSC Checa n ∑x⁹ ∑x¹⁰ ∑yx⁵ y_p ∑(y-y_p)² σ_xy Checa σ_xy Checa OSC Checa n ∑ln(y) ∑ln(y)x y_p ∑(y-y_p)² σ_xy Checa σ_xy ∑ln(x) ∑ln(x)² ∑ln(y)ln(x) y_p ∑(y-y_p)² σ_xy Checa σ_xy 17.270700000000001 5.1319299999999997 17.270700000000001 298.27707849000006 5.1319299999999997 88.632023450999995 5.1211662051653413 1.1585927924261866E-4 5151.4539394772446 88969.215552529655 1530.7370874151859 5.1244645736996324 5.5732589846215553E-5 1536560.631043074 26537477.690555621 26436.901015621454 5.1213695589331198 1.115229155270416E-4 458320815.95027906 7915521316.032485 456583.78637049347 5.1181621689278245 1.895531724319519E-4 136706593992.80225 2361018572871.4902 7885521.5992688816 5.1244645732723582 5.573259622578407E-5 1.6354818067538963 28.245915639904521 5.1323491993840786 1.7572812361218954E-7 2.849011424052851 8.1168660943836546 4.6595063512724479 5.1434925947978893 1.3369359846018551E-4 17.270700000000001 5.10243 17.270700000000001 298.27707849000006 5.10243 88.122537801000007 5.1211662051653413 3.5104538399775999E-4 5151.4539394772446 88969.215552529655 1521.937913599731 5.1244645736996324 4.8552243812452982E-4 1536560.631043074 26537477.690555621 26284.933124406878 5.1213695589331198 3.5870689258111902E-4 458320815.95027906 7915521316.032485 453959.1945116939 5.1181621689278245 2.4750113917360587E-4 136706593992.80225 2361018572871.4902 7840193.0606531119 5.1244645732723582 4.8552241929491959E-4 1.6297168968424485 28.146351610296879 5.1323491993840786 8.9515849178424989E-4 2.849011424052851 8.1168660943836546 4.6430820570760973 5.1434925947978893 1.6861366915356469E-3 17.482399999999998 5.0730500000000003 17.482399999999998 305.63430975999995 5.0730500000000003 88.689089319999994 5.0656281101789977 5.5084448515101391E-5 5343.2212569482226 93412.331302471604 1550.4981351279678 5.0675799229623397 2.9921742797941316E-5 1633071.7407623294 28550013.400703344 27106.428597561182 5.0670240882222224 3.6311612753562319E-5 499122754.27645612 8725863639.3627167 473885.42731400358 5.0668997330273555 3.7825783834804915E-5 152549038488.79474 2666923310476.5049 8284654.5944743361 5.0675799225764084 2.9921747020089206E-5 1.6239422146369085 28.390407373168287 5.0722587776414763 6.2603282062831937E-7 2.8611946605738052 8.1864348856960518 4.646414793599523 5.0785391286736132 3.0130533595479896E-5 17.5883 5.0437900000000004 17.5883 309.34829689000003 5.0437900000000004 88.711691657000003 5.0378459455164846 3.5331783703005118E-5 5440.910650190388 95696.368788743595 1560.2878463708134 5.0391996286449015 2.1071509177713317E-5 1683136.443167059 29603508.703355186 27442.81072832378 5.0395481279220569 1.799347872563735E-5 520675392.12722206 9157794999.3512192 482672.38793297712 5.040130922273022 1.3388849812070058E-5 161070045787.08905 2832948286317.0586 8489386.7606815808 5.039199628273769 2.1071512584985063E-5 1.6181577836118619 28.460644545500511 5.0424638886361723 1.7585713492740168E-6 2.8672339082574689 8.2210302846613992 4.6396368660826823 5.046646327281759 8.1586055405182024E-6 17.694199999999999 5.01464 17.694199999999999 313.08471363999996 5.01464 88.730043087999988 5.0100637808539723 2.0941781672470331E-5 5539.7835400888871 98022.037915040783 1570.0071284076894 5.0108696610047412 1.4215456139169168E-5 1734421.5432763144 30689201.671039764 27780.020131471338 5.0119042283714457 7.4844464036027433E-6 543020872.2077117 9608319917.0176926 491545.23221028008 5.0127779408776973 3.4672641749504761E-6 170011534275.69443 3008218089780.9927 8697499.6477751378 5.0108696606448815 1.4215458852755398E-5 1.6123616341911959 28.529449227705857 5.012844017399039 3.225553502954755E-6 2.8732369022639568 8.255490296531379 4.6326969471527626 5.0151434655366502 2.5347754659453482E-7 17.8001 4.9856100000000003 17.8001 316.84356001000003 4.9856100000000003 88.744356561000004 4.9822816161914592 1.1078138776959015E-5 5639.8470525340017 100389.84151981049 1579.6584212214564 4.982590020041858 9.1202789475811295E-6 1786949.2180367787 31807874.775976468 28118.077863584047 4.9841116801294074 2.2449624346135284E-6 566183351.79985881 10078120280.372667 500504.59777958243 4.9849546685008477 4.29459373781653E-7 179391548802.66153 3193187507842.2554 8909031.8909363449 4.9825900196900408 9.1202810725432925E-6 1.6065557630288625 28.596853237490055 4.9833981358604884 4.8923429716587611E-6 2.8792040752597869 8.2898161069925642 4.6256019000447974 4.98402348456443 2.5170312273028588E-6 17.905899999999999 4.9566999999999997 17.905899999999999 320.62125480999998 4.9566999999999997 88.754174529999986 4.954525685867627 4.7276419462355554E-6 5741.0121265023781 102797.98903593894 1589.2233737167269 4.9543873385935591 5.3484027808398E-6 1840690.511878619 32959220.236647364 28456.474807434337 4.9562161950044992 2.3406727367123103E-7 590164501.63538396 10567426549.833023 509538.79225443851 4.9567929889921061 8.6469526529665561E-9 189219283058.65512 3388141560519.9727 9123750.6602287497 4.9543873382468506 5.3484043844783764E-6 1.6007401967309045 28.662693888643901 4.9541527827551555 6.488315692431631E-6 2.8851302674761641 8.3239766603070819 4.6183439919540819 4.9533083501863198 1.1503288458634886E-5 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1.5832253452978446 28.852065402569803 4.8673612338505112 1.0750307463032512E-5 2.902717457385803 8.4257686374123004 4.5956558487717194 4.863264831485723 5.4393110613981136E-5 18.3294 4.8421700000000003 18.3294 335.96690436 4.8421700000000003 88.754070798000001 4.8434232615562571 1.5706645283912762E-6 6158.0717767761835 112873.76082524139 1626.8088652848612 4.8419996009234509 2.9035845288876593E-8 2068908.3116701795 37921848.007927388 29818.430415352334 4.8436477606813 2.1837766311952883E-6 695084720.87650418 12740485882.833797 546553.93845515919 4.8422112064364455 1.6979704045147088E-9 233525461940.81381 4280381602097.9526 10018005.759519994 4.8419996005739385 2.9035964402185634E-8 1.5773629673584455 28.912116773899889 4.8387968498509988 1.1378141927709009E-5 2.9085063280916472 8.4594090605491559 4.5877701722594573 4.8339862892937653 6.6973120923345783E-5 18.435300000000002 4.8138100000000001 18.435300000000002 339.86028609000005 4.8138100000000001 88.744031493000008 4.815641096893744 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4.6211921785948373 8.3646970244373849E-6 7051.9306766221262 135231.34862024421 1698.3251085361751 4.6196126029812765 1.7229265864569774E-6 2593263.9568161131 49729726.267884202 32567.931443843961 4.6181377978477158 2.6309538205496027E-8 953642095.77608144 18287517649.650028 624538.93733287381 4.6164144645041461 3.5552441061237837E-6 350690582208.51379 6725017949721.5654 11976470.931763854 4.6196126025786644 1.7229255295172811E-6 1.5300266720098141 29.340556475796202 4.6160548435858368 5.0407273240562975E-6 2.9536855710516465 8.7242584526386917 4.5192177044395585 4.6114559894470064 4.6840480449482538E-5 19.282299999999999 4.5907799999999996 19.282299999999999 371.80709328999995 4.5907799999999996 88.520797193999996 4.5934362482710052 7.0556548772198327E-6 7169.2959149457656 138240.51462075874 1706.8845677338659 4.5920634081069256 1.6471363689232609E-6 2665595.0750718559 51398803.916058049 32912.660300414718 4.590315539071522 2.1572395408230026E-7 991087156.75060606 19110439882.612209 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4.5005364050261605 4.5589441688641106 1.949956462069314E-5 19.4941 4.5360399999999998 19.4941 380.01993481 4.5360399999999998 88.426017363999989 4.5378719189459797 3.3559270246400839E-6 7408.1466111796208 144415.15085299665 1723.7856250955524 4.537063872994116 1.0483159080802755E-6 2815243.3922434021 54880636.212732106 33603.649354175206 4.5350595078437337 9.613648684994759E-7 1069848610.3946209 20855735795.89378 655072.90087522694 4.5349156835142708 1.2640875600821934E-6 406563799178.73291 7925595357570.1377 12770056.636951761 4.537063872581296 1.0483150627299463E-6 1.5120543847287213 29.476139381340165 4.5352116452908176 6.8617152422449214E-7 2.9701118556853841 8.821564435282875 4.4909706545238439 4.5331129827826206 8.5674297908342861E-6 19.600000000000001 4.5088299999999997 19.600000000000001 384.16000000000008 4.5088299999999997 88.373068000000004 4.5100897542834666 1.586980854713249E-6 7529.5360000000019 147578.90560000006 1732.1121328000002 4.5096395954536277 6.5544479853515995E-7 2892546.5497600012 56693912.375296034 33949.397802880005 4.5076906738728226 1.2980640240682389E-6 1111200682.5558023 21779533378.093727 665408.19693644822 4.5080370043992275 6.288420228440193E-7 426878854210.63708 8366825542528.4883 13042000.659954386 4.5096395950411612 6.5544413067331506E-7 1.5060376963551629 29.518338848561196 4.5085714178279295 6.6864739712541813E-8 2.9755295662364718 8.853776199547406 4.4812596933714532 4.5075669178388571 1.5953765457965857E-6 19.7058 4.4817099999999996 19.7058 388.31855364 4.4817099999999996 88.315680917999998 4.4823338239596353 3.8915633261552858E-7 7652.1277543191118 150791.29910106157 1740.3311450339243 4.482291469719109 3.3810703424108171E-7 2971463.1818256988 58555059.168420859 34294.617477809501 4.4805459052967223 1.3551164781984634E-6 1153874284.9610677 22738015884.585812 675802.87309421855 4.4812662153745464 1.9694479378867906E-7 448070793418.47107 8829593440945.707 13317236.256620051 4.4822914693094207 3.3810655779858754E-7 1.5000046700279148 29.558792026636084 4.4821126121053529 1.620965073770216E-7 2.9809130086556404 8.8858423651724223 4.4713834339304226 4.482325038880199 3.7827282415682676E-7 19.811699999999998 4.4546799999999998 19.811699999999998 392.50345688999994 4.4546799999999998 88.254783755999981 4.454551659297123 1.6471336014886892E-8 7776.1607368676114 154058.96367060003 1748.4772993387448 4.4549677980103457 8.2827694759088753E-8 3052169.9705528263 60468675.805601425 34640.307711309411 4.4535931641353166 1.1812121967616065E-6 1197987264.4578338 23734164287.259262 686283.38428414846 4.4545003221033426 3.2284146547149025E-8 470214142609.89429 9315741529144.4414 13596440.524422264 4.4549677976061961 8.2827462132349017E-8 1.4939552289377547 29.59779280914611 4.455784292979442 1.2194629844454554E-6 2.9862726722733677 8.9178244731667196 4.4613576737767193 4.4573350716926123 7.0494056929126692E-6 19.9176 4.4277499999999996 19.9176 396.71078976000001 4.4277499999999996 88.1901534 4.4267694946346099 9.6139077155806543E-7 7901.5268261237761 157379.45071200293 1756.5361993598399 4.4276944529788578 3.0854715577337051E-9 3134620.9475013898 62434126.18395368 34985.985404369545 4.4268774943834082 7.6126605098365767E-7 1243537951.6815157 24768291506.411758 696836.86289007089 4.4277034791452934 2.164189922599517E-9 493324922908.10687 9825848484514.5098 13879317.900299277 4.4276944525833377 3.0855154978125384E-9 1.4878915543546045 29.635228823013271 4.4296106286888701 3.4619391178479242E-6 2.991603762970211 8.9496930746175263 4.4511819728988309 4.4326165424942916 2.368323584874951E-5 20.023499999999999 4.4009200000000002 20.023499999999999 400.94055224999994 4.4009200000000002 88.121821619999992 4.3989873299720976 3.7352134367528004E-6 8028.2331479778732 160753.32643853492 1764.5072952080698 4.4004714346246487 2.0121089596416792E-7 3218844.2319420036 64452527.478290707 35331.611825598782 4.4004181866000067 2.5181668841298112E-7 1290565183.9615538 25841631961.054169 707462.52938987711 4.4008057513456151 1.3052755028789949E-8 517439917572.16809 10360958189506.307 14165875.957238203 4.4004714342411839 2.0121123998239274E-7 1.4818136099768489 29.671094819371429 4.4035907107776904 7.1326960580706495E-6 2.9969065837817594 8.9814490719144562 4.4408569636770343 4.4081650831372858 5.2491229666181143E-5 20.129300000000001 4.37418 20.129300000000001 405.18871849000004 4.37418 88.049181474000008 4.3712313996482655 8.6942440342488074E-6 8156.1652711007582 164177.8975915685 1772.3683886445883 4.373324378029964 7.3208895560823277E-7 3304786.15398996 66523031.929510102 35676.535005543512 4.3742591201430372 6.2599970342328111E-9 1339062066.6186879 26954382057.587555 718143.67608708714 4.3737541287434851 1.8136632712552139E-7 542572842751.79718 10921611523603.752 14455729.499059804 4.3733243776623034 7.3208958476528809E-7 1.4757190736712194 29.705191949650075 4.3777479902570615 1.2730554474486214E-5 3.0021764650778713 9.0130635274674624 4.4303690720422519 4.3839991367827933 9.6415447159205067E-5 20.235199999999999 4.3475400000000004 20.235199999999999 409.46331903999993 4.3475400000000004 87.97334140800001 4.3434492349857532 1.6734358401788983E-5 8285.5721534382064 167660.20963925277 1780.1581580591615 4.3462019655074791 1.7903363031768532E-6 3392637.8740922078 68650705.90983063 36021.856359958743 4.3483701203634091 6.8909981774576187E-7 1389160764.2266047 28109945896.278191 728909.46781503712 4.3464101017210055 1.2766701208756388E-6 568810377200.36841 11509991744724.895 14749628.863130838 4.3462019651597386 1.7903372337545491E-6 1.4696101678940268 29.73785566936921 4.3520327179925928 2.0184514960963772E-5 3.0074236621435748 9.0445970836210705 4.4197403930512875 4.3600688395698297 1.5697182096652065E-4 20.341100000000001 4.3209900000000001 20.341100000000001 413.76034921000002 4.3209900000000001 87.893689689000013 4.31566707032324 2.8333580343733049E-5 8416.340639315531 171197.62657838117 1787.854331332918 4.3191298796622704 3.4600476708358532E-6 3482348.0419935095 70834789.756994173 36366.923739076017 4.3227953360134705 3.2592381215333324E-6 1440857541.9259942 29308627346.070843 739743.23246891925 4.3187029490343889 5.2306021193031896E-6 596169719709.16162 12126747885576.027 15047191.065973535 4.3191298793388935 3.460048873875783E-6 1.4634845426680161 29.768885430864383 4.3264684994729041 3.0013956474609617E-5 3.0126434697874114 9.0760206760527335 4.4089571506036149 4.3363930592714581 2.3725423492004886E-4 ∑ 564.07079999999996 10631.369703639999 141.58036000000001 2655.3531851090002 7.3442672884664346E-4 5.1214769383681955E-3 200853.61297198932 3803590.0394248539 49921.617096910457 6.4528929010524794E-4 4.8887220556328836E-3 72196732.307288617 1373519611.3751018 940798.69480585493 5.5851489146085942E-4 4.634796864940666E-3 26189493793.905609 500464930662.26959 17772078.978738565 5.2467993882941949E-4 4.5811786205273396E-3 9584116569887.207 183924014707816.34 336513280.73232806 6.4528928728197084E-4 5.1852727639680428E-3 OSCILA 46.510634719337382 873.09067219110659 1.1085358256889904E-3 6.2921034005472476E-3 87.983295587555872 258.10780613162342 136.32970941063226 3.286283388705714E-3 1.0833617303668564E-2 Ecuaciones Normales Ecuaciones Normales Ecuaciones Normales Ecuaciones Normales Ecuaciones Normales Ecuaciones Normales Ecuaciones Normales NP ∑x ∑y NP ∑x ∑x² ∑y NP ∑x ∑x² ∑x³ ∑y NP ∑x ∑x² ∑x³ ∑x⁴ ∑y NP ∑x ∑x² ∑x³ ∑x⁴ ∑x⁵ ∑y NP ∑x ∑ln(y) NP ∑ln(x) ∑ln(y) ∑x ∑x² ∑yx ∑x ∑x² ∑x³ ∑yx ∑x ∑x² ∑x³ ∑x⁴ ∑yx ∑x ∑x² ∑x³ ∑x⁴ ∑x⁵ ∑yx ∑x ∑x² ∑x³ ∑x⁴ ∑x⁵ ∑x⁶ ∑yx ∑x ∑x² ∑ln(y)x ∑ln(x) ∑ln(x)² ∑ln(y)ln()x ∑x² ∑x³ ∑x⁴ ∑yx² ∑x² ∑x³ ∑x⁴ ∑x⁵ ∑yx² ∑x² ∑x³ ∑x⁴ ∑x⁵ ∑x⁶ ∑yx² ∑x² ∑x³ ∑x⁴ ∑x⁵ ∑x⁶ ∑x⁷ ∑yx² 30 564.07079999999996 141.58036000000001 ∑x³ ∑x⁴ ∑x⁵ ∑x⁶ ∑yx³ ∑x³ ∑x⁴ ∑x⁵ ∑x⁶ ∑x⁷ ∑yx³ ∑x³ ∑x⁴ ∑x⁵ ∑x⁶ ∑x⁷ ∑x⁸ ∑yx³ 30 564.07079999999996 46.510634719337382 30 87.983295587555872 46.510634719337382 564.07079999999996 10631.369703639999 2655.3531851090002 30 564.07079999999996 10631.369703639999 141.58036000000001 ∑x⁴ ∑x⁵ ∑x⁶ ∑x⁷ ∑x⁸ ∑yx⁴ ∑x⁴ ∑x⁵ ∑x⁶ ∑x⁷ ∑x⁸ ∑x⁹ ∑yx⁴ 564.07079999999996 10631.369703639999 873.09067219110659 87.983295587555872 258.10780613162342 136.32970941063226 564.07079999999996 10631.369703639999 200853.61297198932 2655.3531851090002 30 564.07079999999996 10631.369703639999 200853.61297198932 141.58036000000001 ∑x⁵ ∑x⁶ ∑x⁷ ∑x⁸ ∑x⁹ ∑x¹⁰ ∑yx⁵ Matriz Inversa 10631.369703639999 200853.61297198932 3803590.0394248539 49921.617096910457 564.07079999999996 10631.369703639999 200853.61297198932 3803590.0394248539 2655.3531851090002 30 564.07079999999996 10631.369703639999 200853.61297198932 3803590.0394248539 141.58036000000001 a A B Matriz Inversa 10631.369703639999 200853.61297198932 3803590.0394248539 72196732.307288617 49921.617096910457 564.07079999999996 10631.369703639999 200853.61297198932 3803590.0394248539 72196732.307288617 2655.3531851090002 30 564.07079999999996 10631.369703639999 200853.61297198932 3803590.0394248539 72196732.307288617 141.58036000000001 2.5963635545873558 13.414866799232838 -5.5631796431015346E-2 13.893152749232094 -0.73713190343652391 Matriz Inversa 200853.61297198932 3803590.0394248539 72196732.307288617 1373519611.3751018 940798.69480585493 10631.369703639999 200853.61297198932 3803590.0394248539 72196732.307288617 1373519611.3751018 49921.617096910457 564.07079999999996 10631.369703639999 200853.61297198932 3803590.0394248539 72196732.307288617 1373519611.3751018 2655.3531851090002 -5.5631796431015346E-2 118.73131353140515 -40.472903204660177 -0.73713190343652391 3.9204222418702965E-2 200853.61297198932 3803590.0394248539 72196732.307288617 1373519611.3751018 26189493793.905609 940798.69480585493 10631.369703639999 200853.61297198932 3803590.0394248539 72196732.307288617 1373519611.3751018 26189493793.905609 49921.617096910457 -40.472903204660184 13.80020023154869 7026.389971468393 -748.78781448785662 19.901353099584554 Matriz Inversa 3803590.0394248539 72196732.307288617 1373519611.3751018 26189493793.905609 500464930662.26959 17772078.978738565 200853.61297198932 3803590.0394248539 72196732.307288617 1373519611.3751018 26189493793.905609 9584116569887.207 940798.69480585493 a -748.78781448786071 79.836719740896726 -2.1229557966797103 3803590.0394248539 72196732.307288617 1373519611.3751018 26189493793.905609 9584116569887.207 9584116569887.207 17772078.978738565 a A B 9.6520201356361213 19.90135309958476 -2.1229557966797215 5.6479719767871382E-2 3687372.4265183657 -590181.53904880339 31441.039862839923 -557.51209007831665 Matriz Inversa 72196732.307288617 1373519611.3751018 26189493793.905609 9584116569887.207 9584116569887.207 183924014707816.34 336513280.73232806 4.6096205103349348 100.44602417466638 -1.0431296074762031 -0.26234338680370684 -590181.53904817428 94481.549161229981 -5034.4345739908931 89.289398833052033 -1.0431296074762031 a 31441.039862772115 -5034.4345739854052 268.31602255677171 -4.7597873757547555 2031410427.7705047 -433717010.08984709 34688847.283585183 -1231786.2625239214 16385.453886767249 Matriz Inversa 10.442637619795278 -557.5120900764947 89.289398832855582 -4.7597873757494735 8.4453941965204435E-2 -433717018.41396224 92611481.207201391 -7407945.1532687852 263082.9032241379 -3499.9749074863403 -0.3466816708096303 34688848.61469619 -7407945.2953235479 592625.27056850668 -21048.657528682543 280.0566636571732 7026.4255952078538 -748.79297752047432 19.901575250832426 -1.5424843550153171E-6 -4.0984203379299223E-8 -7.2673133739698121E-10 2.2437596926465631E-3 a -1231786.3333729738 263082.9133032976 -21048.657931372156 747.68374728503909 -9.9492102851912687 -748.79297752048478 79.837464592509718 -2.1229875163982164 2.0595102824446619E-7 5.8357834940192465E-9 1.163910262639544E-10 -7.4279999732971191 16385.455141935588 -3499.9751083288029 280.05667435392195 -9.9492104748157928 0.13240620753393698 19.901575250833002 -2.1229875163982488 5.6481039812399332E-2 -7.3221436022081748E-9 -2.33365803697472E-10 -6.204505192969753E-12 2.5154239386320114 -1.5424843553940693E-6 2.0595102828487538E-7 -7.3221436032833863E-9 -1.7907606753722577E-18 -3.8091546157412651E-20 1.1008788481914766E-13 -0.15032770298421383 a -4.0984203366953645E-8 5.8357834927027712E-9 -2.333658036624606E-10 -3.8091553398522413E-20 1.1008788451562154E-13 -1.0783002429625718E-23 2.7071086224168539E-3 -366.36474609375 -7.2673133839128581E-10 1.1639102636998405E-10 -6.2045051957896433E-12 1.1008788481914788E-13 -1.0782991853553394E-23 -1.4350268185674259E-25 79.184722900390625 -6.2851438522338867 a 0.22065061330795288 10.442637390958652 -2.9004393145442009E-3 -0.34668163729507939 2.243758209963094E-3 Resumen Mejor curva 1.2237614675954245E-11 2.6274694740306492E-13 Curva σ_xy y= -366.36474609375 79.184722900390625 *x -6.2851438522338867 *x^2 0.22065061330795288 *x^3 -2.9004393145442009E-3 *x^4 ± 4.5811786205273396E-3 3.5287856067225424E-15 P4(x) 4.5811786205273396E-3 A*exp(B*X) 6.2921034005472476E-3 A*x^B 1.0833617303668564E-2 Evaluación de puntos Evaluando en X P1 Y( 19.419499999999999 )= 4.5539236326077912 Redondeando a las cifras que representa la curva Y( 19.419499999999999 )= 4.5539236326077912 P2 Y( 17.1981 )= 5.1348986683746887 Redondeando a las cifras que representa la curva Y( 17.1981 )= 5.1348986683746887 Evaluando en Y P3 5.1083699999999999 = -366.36474609375 79.184722900390625 *x -6.2851438522338867 *x^2 0.22065061330795288 *x^3 -2.9004393145442009E-3 *x^4 Reacomodando 0= -371.47311609374998 79.184722900390625 *x -6.2851438522338867 *x^2 0.22065061330795288 *x^3 -2.9004393145442009E-3 *x^4 Es una ecuación no lineal y se resolvera por métodos numericós Método de la Secante Es una interpolación inversa n X Y CC Checa CC Checa Y Checa n 0 17.270700000000001 9.792168927901912E-3 1 17.3766 -1.5432497577364757E-2 2 17.311810184320905 1.0826753180026571E-4 3.7425211453493458E-3 3 17.312261554210359 1.156626410647732E-6 2.6072266066496821E-5 CERO 4 17.312266428283014 -9.134737410931848E-11 2.8153868096969046E-7 RAÍZ CERO X( 5.1083699999999999 )= 17.312266428283014 Redodeando X( 5.1083699999999999 )= 17.312266428283014 P4 4.3111600000000001 = -366.36474609375 79.184722900390625 *x -6.2851438522338867 *x^2 0.22065061330795288 *x^3 -2.9004393145442009E-3 *x^4 Reacomodando 0= -370.67590609374997 79.184722900390625 *x -6.2851438522338867 *x^2 0.22065061330795288 *x^3 -2.9004393145442009E-3 *x^4 Es una ecuación no lineal y se resolvera por métodos numericós Método de la Secante Es una extrapolación inversa n X Y CC Checa CC Checa Y Checa n 0 17.270700000000001 0.80700216892785193 1 17.3766 0.78177750242258526 2 20.6587142546826 -7.8826335464441399E-2 0.15887311350650302 3 20.358091566422875 3.0566409956804819E-3 1.4766742122112769E-2 4 20.369313625914248 8.6846274371055188E-5 5.5092968263283754E-4 5 20.369641794743764 -8.3306133547011996E-8 1.6110682397961678E-5 CERO X( 4.3111600000000001 )= 20.369641794743764 Redodeando X( 4.3111600000000001 )= 20.369641794743764