Profesor Margarito Filomeno Nicolas 2022-01-04T01:09:33Z 2022-12-31T02:13:19Z 16.00 836318a7-025e-496d-8d66-beb15bdd159a 6540 21765 32767 32767 False False Universidad Autónoma Metropolitana. Unidad Lerma. Ajuste de curvas: tablas equiespaciadas ejercicio 07 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 7 - Ajuste de curvas - Equiespaciadas Hallar los valores solicitados con las curva solicitada x y P1 y( 1.7503299999999999 ) 1.9374100000000001 132.85400000000001 P2 y( 15.312799999999999 ) 2.3013300000000001 201.71199999999999 P3 x( 350.899 ) 2.6652499999999999 293.52300000000002 P4 x( -1057.5999999999999 ) 3.0291600000000001 411.94499999999999 3.3930799999999999 560.63499999999999 Ajustar a la curva: 3.7570000000000001 743.25199999999995 4.1209199999999999 963.45299999999997 Mejor curva 4.4848400000000002 1224.9000000000001 4.8487600000000004 1531.24 5.2126700000000001 1886.14 5.5765900000000004 2293.25 5.9405099999999997 2756.23 6.30443 3278.75 6.6683500000000002 3864.45 7.0322699999999996 4517 7.3961899999999998 5240.05 7.7601000000000004 6037.26 8.1240199999999998 6912.29 8.48794 7868.8 8.8518600000000003 8910.44 9.2157800000000005 10040.9 9.5797000000000008 11263.7 9.9436199999999992 12582.7 10.307499999999999 14001.5 10.6715 15523.7 11.035399999999999 17152.900000000001 11.3993 18892.900000000001 11.763199999999999 20747.3 12.1271 22719.7 12.491 24813.9 12.855 27033.4 13.2189 29381.9 13.582800000000001 31863.1 13.9467 34480.699999999997 14.310600000000001 37238.300000000003 14.6746 40139.5 15.038500000000001 43188 15.4024 46387.5 15.766299999999999 49741.7 16.130199999999999 53254.1 16.4941 56928.4 16.8581 60768.4 Criterio de Convergencia ND Tol NCSINV TolINV NumPtos MaxIter 4 5.0000000000000002E-5 6 4.9999999999999996E-6 42 40 Ajuste a curva polinomial Ajuste a curva exponencial Ajuste a curva potencial n 1 n 2 n 3 n 4 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 ∑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 1.9374100000000001 132.85400000000001 1.9374100000000001 3.7535575081000001 132.85400000000001 257.39266814000001 -10802.228891476767 119576037.84346788 7.2721798517680218 14.089193966613882 498.67512918111748 2082.4002010779477 3800730.3901374578 27.296545282857402 52.884599796460762 966.13818202678885 132.85171218347489 5.2341044526380649E-6 102.45915249166104 198.50538662886902 1871.8057752405209 132.84674908483541 5.2575770724291812E-5 4.8892507808982044 9.4724833554199908 455.12795627331366 103860.50289205366 0.66135202955355221 0.43738650699460258 3.2335159269433174 113.05916818503728 391.83536658266087 2.3013300000000001 201.71199999999999 2.3013300000000001 5.2961197689000006 201.71199999999999 464.20587696000001 -9418.4064072672718 92546678.169842586 12.188119307762639 28.048884606533395 1068.2909108243568 1580.6582484033127 1901492.7559855704 64.549739611553505 148.55025226025643 2458.4899218074174 201.71174789997337 6.3554423418902381E-8 341.86315203409595 786.739927670626 5657.7966117530641 201.70920582012741 7.8074411603343766E-6 5.3068409374889134 12.212792254671362 520.5398499706979 101651.19791693786 0.83348721667627879 0.69470094036277008 4.4231840823313684 185.86861978146385 251.01269674910228 2.6652499999999999 293.52300000000002 2.6652499999999999 7.1035575624999998 293.52300000000002 782.31217575000005 -8034.5839230577785 69357364.921882883 18.932756793453123 50.460530043750936 2085.0575264176878 1173.1949609185913 773822.75882635952 134.48992769910717 358.44927980004542 5557.1995722847414 293.52487637392608 3.5207791103682116E-6 955.35694298707097 2546.2650922962907 14811.326160031907 293.52421058264781 1.4655103471215206E-6 5.6819560007633969 15.143833231034643 595.35287092933186 91101.27098521711 0.98029786184844736 0.96098389794463757 5.5700093186653126 284.01618864009362 90.379462232845526 3.0291600000000001 411.94499999999999 3.0291600000000001 9.1758103056000007 411.94499999999999 1247.8473162 -6650.7994643067432 49882359.36809554 27.794997545311297 84.195494764355175 3779.9291763403921 860.01764920261894 200769.09896345323 255.04162492039413 772.56188854386107 11450.010263803262 411.94518346896132 3.366085976956664E-8 2340.2135703015224 7088.8813386145594 34683.913090702292 411.94591438548514 8.3610081544547635E-7 6.0208898452926256 18.23823868376661 680.91565521962718 72345.21336927556 1.1082853533637969 1.228296424480716 6.672864029754634 411.02780833236187 0.84124055518479846 3.3930799999999999 560.63499999999999 3.3930799999999999 11.512991886399998 560.63499999999999 1902.2794057999999 -5266.9769800972481 33961061.390572973 39.064502509906106 132.54898217631219 6454.5862062318629 641.10910145513299 6476.0810050110385 449.74930044280137 1526.0353563464603 21900.927364641208 560.63683273693505 3.3589246731230622E-6 5177.9600469120478 17569.232675976327 74311.598622416786 560.63854260708229 1.2550064939526941E-5 6.3290700698892071 21.475041072739671 778.77820539302013 47586.458059141369 1.2217380634787498 1.4926438957528056 7.7324658108077555 570.38630402499928 95.08793018796726 3.7570000000000001 743.25199999999995 3.7570000000000001 14.115049000000001 743.25199999999995 2792.3977639999998 -3883.1544958877548 21403637.065192416 53.030239093000006 199.23460827240103 10491.038399347999 516.47921889756253 51425.894248933997 748.52442327941071 2812.2062582607459 39414.83126635044 743.25469152232699 7.2442924369587442E-6 10565.458912285623 39694.429133457088 148081.52106767861 743.25702086789477 2.5209114417172147E-5 6.6110351527592153 24.837659068916373 890.70575561895407 21742.610046134243 1.3236207665918318 1.7519719337531485 8.7505034168607008 765.51782765937844 495.76708135714409 4.1209199999999999 963.45299999999997 4.1209199999999999 16.981981646399998 963.45299999999997 3970.31273676 -2499.3320116782597 11990880.037103605 69.981387806282683 288.38770063866639 16361.341163169016 486.12800152990349 227839.15416447763 1188.4226433158931 4897.3946392933294 67423.778026126471 963.45649891493372 1.224240571357283E-5 20181.771516956669 83167.465879657058 277847.99534342502 963.45914314774018 3.7738264157971766E-5 6.8705237061768099 28.312878551258137 1018.7197556361433 3054.4142785451804 1.4160764394043579 2.0052724822361241 9.7291867466860893 999.81049580836884 1321.8675014555597 4.4848400000000002 1224.9000000000001 4.4848400000000002 20.113789825600001 1224.9000000000001 5493.4805160000005 -1115.5095274687665 5477516.7562665753 90.207129161443916 404.56454114841011 24637.381157377444 550.05544935215948 455415.1675390859 1814.4072367240358 8137.3261515494241 110494.71250985266 1224.8999940045528 3.5945388108220159E-11 36494.605817514923 163672.46795462363 495551.10645268759 1224.9026999958053 7.2899773480297038E-6 7.1106144869936401 31.88996827584856 1165.1321819540735 3572.1920739709844 1.5007028204039534 2.2521089551683806 10.670919215436566 1276.6157467093453 2674.5184577051532 4.8487600000000004 1531.24 4.8487600000000004 23.510473537600003 1531.24 7424.6152624000006 268.31295674073044 1594984.7165956011 113.9966436701734 552.74236596218998 36000.177499714628 708.26156236433053 677293.50881324755 2680.1150743828284 12995.234768064483 174556.22065351633 1531.2429158809814 8.5023618976361559E-6 63010.774534000353 305524.12312947953 846381.22045594384 1531.2454785306422 3.0014297997763348E-5 7.3338331436594677 35.559996793650285 1332.5872929374418 39462.898023282556 1.5787230021571264 2.4923663175400099 11.578091077877511 1599.2519445645507 4625.6246034515216 5.2126700000000001 1886.14 5.2126700000000001 27.171928528900001 1886.14 9831.8253938000016 1652.097415491764 54775.931363294854 141.63829668474116 738.31369997964975 51250.061275499451 960.73810736088853 856368.66290004982 3848.5856744729208 20061.40708775476 267149.6569089577 1886.1325508641855 5.5489624383877477E-5 104573.4948841266 545107.11957764032 1392563.0020796168 1886.13480968051 2.6939416409431361E-5 7.5422876916154999 39.315456781453371 1524.1037610038718 131070.23834646173 1.6510922005019708 2.7261054545584402 12.453012381568366 1970.9964443527031 7200.6161481833751 5.5765900000000004 2293.25 5.5765900000000004 31.098356028100003 2293.25 12788.515017500002 3035.9198997012609 551558.57992228086 173.42278124274222 967.10774765046381 71316.304961440328 1307.4989601102934 971705.11264363793 5393.1633944701007 30075.461053968018 397701.79308491858 2293.2460585395411 1.5535110549216455E-5 167718.51535894754 935297.39556555322 2217819.842299426 2293.2478941806812 4.4344750033702556E-6 7.7377253043897651 43.150121555206923 1743.1509801966661 302608.93158858875 1.718577478477604 2.9535085495304396 13.297880442770513 2395.1302990358163 10379.595331627348 5.9405099999999997 2756.23 5.9405099999999997 35.2896590601 2756.23 16373.411877299999 4419.7423839107505 2767273.4514244283 209.63857254311463 1245.3600365780981 97266.416991219419 1748.5384780496152 1015442.203410683 7398.0737508925567 43948.331097914743 577812.12280050886 2756.2321097616687 4.4510942984404697E-6 261075.50037047351 1550921.6207058018 3432498.6936176512 2756.233440629067 1.1837928376493843E-5 7.9216190829330015 47.058457378354326 1993.6801007296222 581482.34887726337 1.7817949882747748 3.174793380241105 14.11470118099184 2874.879242247514 14077.642685909246 6.30443 3278.75 6.30443 39.745837624899998 3278.75 20670.649862499999 5803.5648681202474 6374690.1182810627 250.5748510975483 1579.7316085049163 130316.66511264087 2283.8566611788465 989812.7556307026 9959.3073446066501 62787.756002558497 821572.29303608648 3278.7484436203672 2.42231756140219E-6 395841.01257520984 2495551.95490953 5179545.0113854939 3278.7492224217858 6.0462787917272285E-7 8.095217531181083 51.035732260103956 2280.2157639820957 997070.6204998598 1.8412525608892352 3.3902109929811668 14.9053400102426 3413.4549395110821 18145.420728684287 6.6683500000000002 3864.45 6.6683500000000002 44.466891722500002 3864.45 25769.5051575 7187.3873523297407 11041912.647508189 296.52079741773292 1977.3044594605392 171840.07971701512 2913.4535094979965 904394.32494712691 13185.358192243686 87924.583301248189 1145889.795580958 3864.4527992054332 7.8355510580855598E-6 586311.89505687845 3909732.9254025351 7641194.2183622802 3864.4530095243213 9.0572366413500801E-6 8.259574648178841 55.077734605183373 2607.932901777795 1578835.2181247498 1.8973724530131215 3.6000222254530301 15.671489411060078 4014.0470687911911 22379.282990916425 7.0322699999999996 4517 7.0322699999999996 49.452821352899996 4517 31764.763589999999 8571.2098365392339 16436617.398691483 347.76559201535804 2445.5815397618417 223378.39405104928 3637.3290230070561 773821.02776372049 17197.989694621006 120940.90698979245 1570857.1791333721 4517.0029156066621 8.5007622080812611E-6 850489.11199710774 5980869.0676239002 11046691.815104239 4517.0025684715183 6.5970459404008752E-6 8.4156033356546036 59.180794869223796 2982.7501974188417 2353922.4567203233 1.9505095555502088 3.8044875262926729 16.414714721914514 4679.8247306155727 26511.892900033807 7.3961899999999998 5240.05 7.3961899999999998 54.703626516099995 5240.05 38756.405409500003 9955.0323207487272 22231058.284973051 404.59841540211363 2992.4867540129585 286649.73812568979 4455.4832017060326 615545.06098524726 22133.000605163103 163699.87774590129 2120115.9266278455 5240.0565319138532 4.2665898582958244E-5 1210755.3987854577 8954976.9729430135 15680780.215365604 5240.055662367603 3.2062406869025659E-5 8.5640863192542955 63.341609593605426 3411.436979125232 3343825.5801127451 2.0009650027568324 4.0038609422576501 17.136437005416422 5413.9376956435026 30236.930696207328 7.7601000000000004 6037.26 7.7601000000000004 60.219152010000009 6037.26 46849.741326000003 11338.816779499768 28106504.286259949 467.30664151280109 3626.3462688034883 363558.67766389268 5367.8896779624447 448056.62802466081 28140.809680541952 218375.49720197363 2821251.6945395735 6037.2484284991742 1.3389963136597999E-4 1694615.6958370355 13150387.261264982 21893195.274796549 6037.2470921804206 1.6661180629938961E-4 8.7057055456179189 67.557145604549618 3901.7210788881039 4560526.4835837623 2.0489952207100339 4.1983814144925606 17.837949055879953 6219.4943692677543 33209.365342416168 8.1240199999999998 6912.29 8.1240199999999998 65.999700960399991 6912.29 56155.582205799998 12722.639263709258 33760158.566286713 536.18289059630877 4355.9605268622236 456209.07295156323 6374.5985963986495 289112.04550679034 35387.910439439242 287492.09216821316 3706251.6328399591 6912.2800732803626 9.8539762759657288E-5 2335591.5066164071 18974392.111581821 30109662.390224479 6912.2783429548717 1.3588670112162348E-4 8.8410562656222815 71.824917923040729 4462.4841806295572 6001548.5526212864 2.0948251055565654 4.3882922228700751 18.52046662486373 7099.6532818314263 35104.999378642489 8.48794 7868.8 8.48794 72.0451254436 7868.8 66789.902272000007 14106.461747918755 38908424.081448853 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19.832762073505453 9096.0909059201276 34466.258868963887 9.2157800000000005 10040.9 9.2157800000000005 84.930601008400004 10040.9 92534.725401999996 16874.106716337745 46692714.028203271 782.70173416119258 7213.2069876480355 852779.67166524357 9960.3973428467725 6480.677808730029 66475.328692627023 612622.00465893815 7859029.8425391186 10040.865663978675 1.1789623604057347E-3 5645789.6180957491 52030355.046654448 72427090.042275161 10040.863308382603 1.3462747872138618E-3 9.2144220306624298 84.91808626173821 6676.3346666699772 11320299.882246165 2.2209172321408284 4.9324733520200779 20.464468672116276 10218.519823703889 31548.801772600884 9.5797000000000008 11263.7 9.5797000000000008 91.770652090000013 11263.7 107902.86689000002 18257.929200547238 48919242.109787643 879.13531582657322 8421.8525850238238 1033677.0939461332 11344.220922042638 6483.618886596395 80678.821208752735 772878.90353348863 9902316.4568757731 11263.750209962351 2.5210403191865752E-3 7403948.0321797617 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1487583.1543343749 14394.5260681935 154469.49027964144 116350.08834041761 1199278.5355688545 15333263.363301568 14001.338202208512 2.617852533053185E-2 12361563.505375968 127416815.83166277 158047612.11723089 14001.336164504386 2.6842069623074033E-2 9.5469197457151527 98.404875278958926 9988.3349433457261 16105493.771950902 2.3328717855989178 5.4422907680434829 22.271739714156073 14119.093512798259 13828.234252234381 10.6715 15523.7 10.6715 113.88091224999999 15523.7 165661.16455000002 22409.548755009549 47414913.076866552 1215.280155075875 12968.8621748922 1767853.1174953249 16061.552022289681 289284.79788109893 138397.21269936211 1476905.8553212427 18865644.54335136 15523.853370268822 2.3522439358275908E-2 15760800.835060641 168191386.11134964 201324725.74437404 15523.851640199277 2.2994750036401061E-2 9.650123167385809 102.98128938075766 11424.215518158535 16805773.016858991 2.3675766365014859 5.6054191297076885 22.847406150464359 15607.571004438494 7034.3453855217795 11.035399999999999 17152.900000000001 11.035399999999999 121.78005315999998 17152.900000000001 189289.11266000001 23793.295188302123 44094848.256825969 1343.8915986418638 14830.381347652421 2088881.0738481639 17822.401257628029 448231.93396551086 163659.19032388352 1806044.6289001841 23051638.202344026 17153.034064175459 1.7973203141166873E-2 19930424.897765089 219940210.91679683 254384048.21814725 17153.032728160739 1.7616764652710577E-2 9.7499225345088458 107.59429513731891 13066.030030718603 16702506.145814143 2.4011082873526068 5.7653210075933687 23.410619798655123 17194.610395000142 1739.7570510677142 11.3993 18892.900000000001 11.3993 129.94404048999999 18892.900000000001 215365.83497000003 25177.041621594704 39490435.920258902 1481.271100757657 16885.453658866758 2455019.7625735211 19677.518795870674 615626.65483354381 192482.35189351984 2194164.0739398007 27985506.77950434 18892.941317053352 1.7070988975443075E-3 25011934.528061971 285118545.26573676 319015187.43160379 18892.940447864847 1.6360297705348672E-3 9.8465414690936619 112.24368016863939 14943.795527341283 15595426.135973098 2.4335519500064051 5.9221750933799768 23.962070192931815 18883.598271892584 86.522145784314191 11.763199999999999 20747.3 11.763199999999999 138.37287423999999 20747.3 244054.63935999997 26560.788054887278 33796643.364317074 1627.7077942599678 19147.052325438854 2870863.5337195517 21626.904637017615 773704.31746289099 225230.60591460232 2649432.6634946498 33770541.919849828 20747.232264968869 4.5880344422801027E-3 31165806.307220265 366609612.75309342 397249638.71157753 20747.231918227619 4.6351277304753306E-3 9.9401713967105128 116.9282241737851 17091.421360425527 13365448.627296891 2.4649760142991215 6.0761067510699824 24.50228407091361 20677.514592991243 4870.0030313777324 12.1271 22719.7 12.1271 147.06655441000001 22719.7 275524.07387000002 27944.534488179866 27298895.428873759 1783.4908119855111 21628.571426029492 3341307.9962288775 23670.558781068852 904132.42153574189 262291.84854060225 3180839.4764367379 40520376.201067217 22719.564043988394 1.8484037092096242E-2 38574358.414695963 467795101.93085939 491394654.22796226 22719.564254735211 1.8426776912873376E-2 10.03098766852256 121.64679055493994 19547.690115616952 10061646.706623765 2.4954426177031612 6.2272338582492059 25.031754125686067 22579.328678111109 19704.108008834803 12.491 24813.9 12.491 156.025081 24813.9 309950.42489999998 29328.28092147244 20379635.104154345 1948.9092867709999 24343.82590105656 3871590.7574259001 25808.481228024386 989191.81913849269 304078.7293300975 3798247.4080622476 48360040.151006915 24813.593790178278 9.3764454919823881E-2 47443908.374105535 592621859.50095224 604065261.52622736 24813.594569443889 9.3287824607311137E-2 10.119159259011623 126.39841830431418 22356.957961434 6036564.1808728585 2.5250083849837721 6.3756673442383569 25.550961977990521 24591.999574564219 49239.798808581218 12.855 27033.4 12.855 165.251025 27033.4 347514.35700000002 30712.407609349604 13535096.98965228 2124.3019263750002 27307.901263550626 4467297.0592350001 28041.298341680267 1015859.0671618297 351043.07074294332 4512658.6744005363 57427103.696465932 27033.606091974467 4.2473901939038917E-2 58010227.259418897 745721471.41982985 738225418.01806951 27033.607423496309 4.3024506820409189E-2 10.204828417523599 131.18306930726587 25570.899206978229 2138908.5695893136 2.5537328407178528 6.5215514217608739 26.060405463720809 26719.076667896781 98799.15710447132 13.2189 29381.9 13.2189 174.73931721 29381.9 388396.39791 32096.154042642178 7367175.0079993978 2309.8615602672689 30533.828979017002 5134173.1443324992 30367.783299446557 971965.88012762682 403623.63189072785 5335460.4276003418 67868121.377616867 29382.039135996831 1.9358825613677914E-2 70528917.846406162 932314712.1198585 897141909.67857969 29382.040972331521 1.9873198253945509E-2 10.288134117480295 135.99781608556026 29245.783784435393 18527.624139631069 2.5816476236998991 6.6649044529553354 26.560336996698862 28962.331414802851 176037.79768433832 13.582800000000001 31863.1 13.582800000000001 184.49245584000002 31863.1 432790.11468 33479.900475934759 2614043.778982868 2505.9241291835524 34037.46626187436 5878501.5696755042 32788.536560117165 856432.82680149423 462324.0967417871 6279655.7412243458 79846511.120588452 31863.142560372504 1.8113853077856136E-3 85295308.001902044 1158549109.5282354 1084539191.248729 31863.14481993128 2.0088262400677409E-3 10.369203879421155 140.84282245340168 33448.799052499919 2514441.4850991443 2.6088042864442378 6.8058598049698285 27.05122352764813 31325.262604597909 289269.06389290397 13.9467 34480.699999999997 13.9467 194.51044088999998 34480.699999999997 480891.97868999996 34863.646909227333 146648.33528676929 2712.7787659605629 37834.311615222177 6706856.1591958217 35303.558123692048 677095.49172600254 527663.79380401911 7359168.6330465134 93538510.795456365 34480.573501167833 1.6001954538763189E-2 102636117.17450981 1431435135.3977358 1304553548.5109913 34480.576064631365 1.53599755980424E-2 10.448155026195684 145.71728370384335 38255.844545016284 14251716.335766224 2.635242921143063 6.9445052534346239 27.533426571787491 33810.791414753621 448777.51258680085 14.310600000000001 37238.300000000003 14.310600000000001 204.79327236000003 37238.300000000003 532902.41598000005 36247.393342519914 981896.00383836252 2930.7146034350167 41940.284403917154 7626153.3141233893 37912.847990171249 455014.99104406749 600190.63399069686 8589088.0867872667 109134829.61709419 37237.989094449222 9.6662261506543778E-2 122915003.97477788 1758987455.8814564 1561784892.7183883 37237.991801337761 9.4986415407709593E-2 10.525093080510135 150.62039703794835 43753.727586912384 42450796.640298896 2.6610005214105494 7.080923774947216 28.007278175132036 36421.830269344442 666622.82107676403 14.6746 40139.5 14.6746 215.34388515999999 40139.5 589031.1067 37631.520030397071 6289963.5279295109 3160.0853771689358 46372.988875803261 8643795.8783798199 40617.162055480338 228161.0392457011 680505.06255686248 9986139.5909969341 126844246.9968725 40139.863766077026 0.1323257587945238 146542604.04204363 2150454097.275373 1861388586.980305 40139.866411271032 0.13425721953937411 10.600116165870157 155.5524646876782 50043.5774842221 98090750.813475162 2.6861181081024705 7.2152304906759959 28.47316398113356 39162.053811029131 955401.05233367602 15.038500000000001 43188 15.038500000000001 226.15648225000004 43188 649482.73800000001 39015.266463689652 17411705.165049065 3401.0542583166257 51146.754463694582 9767246.1554130018 43415.014432770302 51535.55268602194 769170.46700227098 11567170.068013653 146884731.30817842 43188.261053017428 6.8148677908217714E-2 173952887.06782335 2615990492.1694617 2208926031.7780418 43188.263383399622 6.937081519665203E-2 10.673317957867031 160.51069210938334 57235.5174159772 197332745.55218273 2.7106135795053703 7.3474259773989168 28.931240594972902 42032.852749338555 1334365.1707106943 15.4024 46387.5 15.4024 237.23392576000001 46387.5 714478.83 40399.012896982225 35861977.783010222 3653.971818125824 56279.935531501193 11004688.731192 46307.135112964541 6458.5150682221029 866846.07903039397 13351510.047657741 169498617.71331167 46387.615405626784 1.3318458693452951E-2 205645298.35804358 3167431143.4299302 2610685509.4675117 46387.617116642185 1.3716307876585211E-2 10.744785305368852 165.49548118741322 65461.036531759986 363799795.82838279 2.7345233414329888 7.4776179048418383 29.381866216217311 45037.849746549553 1821555.806638856 15.766299999999999 49741.7 15.766299999999999 248.57621568999997 49741.7 784242.56470999995 41782.759330274799 63344736.584205784 3919.1271894332463 61790.135006761389 12364603.547987271 49293.524096063076 200861.64086967608 974201.80555710208 15359557.926954936 194944048.9186317 49741.583959971467 1.3465288221202312E-2 242163398.14374959 3818020784.1537995 3073546358.4658227 49741.584692184231 1.3295892376690188E-2 10.814598894497516 170.50621055031618 74868.67416029032 631364830.45189762 2.7578747507454033 7.6058731407990203 29.825309230573851 48179.924617232224 2439142.3462194251 16.130199999999999 53254.1 16.130199999999999 260.18335203999993 53254.1 858999.2838199999 43166.505763567373 101759557.47890873 4196.8095050756065 67695.376678770539 13855830.24787336 52374.181382065908 774256.77418703982 1091939.9649039044 17613210.021892957 223497313.06424683 53253.823852117872 7.6257652803050302E-2 284104600.29513776 4582664023.6806297 3605056359.1889143 53253.823187781374 7.6625004379762607E-2 10.88283007591285 175.54222569048943 85628.316743810938 1048089909.7752485 2.7806932913162918 7.7322551803714319 30.261812582626032 51461.949565056289 3211803.1814689259 16.4941 56928.4 16.4941 272.05533480999998 56928.4 938982.72244000004 44550.252196859954 153218543.0363808 4487.3078978896201 74014.105198581179 15487674.922197603 55549.106970973058 1902449.25992232 1220796.0525559178 20135932.170462564 255455258.93421945 56927.992218132378 0.16628605156232287 332124078.81282651 5478087768.3466415 4213504586.386909 56927.989677759317 0.16836434120056501 10.949549616860214 180.60296633545406 97934.265707450613 1681481022.417474 2.8030027412035041 7.8568243671943581 30.691617591002956 54886.789377948931 4168173.9320717575 16.8581 60768.4 16.8581 284.19553561000004 60768.4 1024439.76404 45934.378884737118 220048182.44806507 4790.9967588669415 80767.102460654802 17270107.986162726 58819.212195841879 3799333.0958787622 1361579.8899919647 22953649.943473544 291141207.44152987 60768.82445433976 0.18016148653947234 386954926.11207134 6523324839.8899107 4908087589.1700554 60768.81949252604 0.17597397940181272 11.014825196002144 185.68902463672376 112012.87946394732 2625996675.5309186 2.8248312534594646 7.9796716105213701 31.115022465059631 58458.303075792312 5336547.7992338296 ∑ 394.70498000000009 4526.5340019710002 737772.37399999995 10040832.27844831 1639150389.0560629 6401.4654358515108 57898.841285759489 789236.22068517806 142438858.5095104 30355991.07236987 882.24641991077601 11205151.420749176 163622285.73654529 2078954846.866375 1.0186087271066149 0.16372383094282619 2438962418.1670933 36930963257.528015 30979265128.121399 1.0184234986762111 0.16590647794369387 OSCILA 372.6856331856095 3803.9517183067505 6878926192.525177 13113.853545511687 88.065057641620555 198.84556359374213 822.42879038377328 21399591.466637664 731.42996019163832 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 ∑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 ∑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 42 394.70498000000009 737772.37399999995 ∑x³ ∑x⁴ ∑x⁵ ∑x⁶ ∑yx³ ∑x³ ∑x⁴ ∑x⁵ ∑x⁶ ∑x⁷ ∑yx³ 42 394.70498000000009 372.6856331856095 42 88.065057641620555 372.6856331856095 394.70498000000009 4526.5340019710002 10040832.27844831 42 394.70498000000009 4526.5340019710002 737772.37399999995 ∑x⁴ ∑x⁵ ∑x⁶ ∑x⁷ ∑x⁸ ∑yx⁴ 394.70498000000009 4526.5340019710002 3803.9517183067505 88.065057641620555 198.84556359374213 822.42879038377328 394.70498000000009 4526.5340019710002 57898.841285759489 10040832.27844831 42 394.70498000000009 4526.5340019710002 57898.841285759489 737772.37399999995 Matriz Inversa 4526.5340019710002 57898.841285759489 789236.22068517806 142438858.5095104 394.70498000000009 4526.5340019710002 57898.841285759489 789236.22068517806 10040832.27844831 42 394.70498000000009 4526.5340019710002 57898.841285759489 789236.22068517806 737772.37399999995 a A B Matriz Inversa 4526.5340019710002 57898.841285759489 789236.22068517806 11205151.420749176 142438858.5095104 394.70498000000009 4526.5340019710002 57898.841285759489 789236.22068517806 11205151.420749176 10040832.27844831 5.4056670500438244 222.66469945438755 0.36900374827743221 0.13188276749597957 -1.1499921371225521E-2 Matriz Inversa 57898.841285759489 789236.22068517806 11205151.420749176 163622285.73654529 2078954846.866375 4526.5340019710002 57898.841285759489 789236.22068517806 11205151.420749176 163622285.73654529 142438858.5095104 0.36900374827743221 0.33360030748126424 -0.14774546525776472 -1.1499921371225519E-2 1.2236904069248677E-3 57898.841285759489 789236.22068517806 11205151.420749176 163622285.73654529 2438962418.1670933 2078954846.866375 -0.14774546525776472 7.0462788613374142E-2 0.50528793576108177 -0.11342116104404608 5.4226487172776231E-3 Matriz Inversa 789236.22068517806 11205151.420749176 163622285.73654529 2438962418.1670933 36930963257.528015 30979265128.121399 a -0.11342116104404601 2.9043174386507956E-2 -1.4801163094314315E-3 a A B -18169.319238619864 5.4226487172776136E-3 -1.4801163094314306E-3 7.8748559500698226E-5 1.82867672312479 -0.72073046354878723 7.9880368203441215E-2 -2.6409806921520521E-3 Matriz Inversa 2.8179175479377534 16.741950036922091 2.8880137364722955 3802.5458458163721 -0.72073046354876724 0.30774025300050323 -3.5649111935662912E-2 1.2119583884901859E-3 2.8880137364722955 a 7.9880368203437385E-2 -3.5649111935662205E-2 4.2679573876364865E-3 -1.4858928942291155E-4 6.6853390817081317 -3.8632244070956072 0.71326328190261812 -5.2247465864141911E-2 1.3196390122132444E-3 6340.5184369562194 -2.6409806921518742E-3 1.2119583884901432E-3 -1.4858928942290946E-4 5.2703930114246876E-6 -3.8632244070963111 2.3410848539027369 -0.44547829570183106 3.3309738243032516E-2 -8.538698590442132E-4 -2887.4339733722736 0.71326328190287402 -0.44547829570190567 8.6870758600940387E-2 -6.6180322518496152E-3 1.7210107289211994E-4 355.9357264647806 a -5.2247465864168757E-2 3.3309738243042869E-2 -6.6180322518505277E-3 5.1195650570171698E-4 -1.3478938468116087E-5 2.3186241751536727 1.3196390122140991E-3 -8.5386985904458139E-4 1.7210107289216303E-4 -1.3478938468117562E-5 3.5856870294436102E-7 21.195557252969593 -0.66991218930343166 a 12.648636204508875 2.2886309698224068 21.214964274317026 -0.6738237552344799 12.648942558211274 -8.1496564234839752E-6 Resumen Mejor curva Curva σ_xy y= 2.3186241751536727 21.195557252969593 *x -0.66991218930343166 *x^2 12.648636204508875 *x^3 ± 0.16372383094282619 P3(x) 0.16372383094282619 A*exp(B*X) 13113.853545511687 A*x^B 731.42996019163832 Evaluación de puntos Evaluando en X P1 Y( 1.7503299999999999 )= 105.19260497489847 Redondeando a las cifras que representa la curva Y( 1.7503299999999999 )= 105.19260497489847 P2 Y( 15.312799999999999 )= 45585.658666030329 Redondeando a las cifras que representa la curva Y( 15.312799999999999 )= 45585.658666030329 Evaluando en Y P3 350.899 = 2.3186241751536727 21.195557252969593 *x -0.66991218930343166 *x^2 12.648636204508875 *x^3 Reacomodando 0= -348.58037582484633 21.195557252969593 *x -0.66991218930343166 *x^2 12.648636204508875 *x^3 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 1.9374100000000001 -218.04728781652511 1 2.3013300000000001 -149.18725210002665 2 3.0897731690939949 83.612131322500773 0.25517833379502991 3 2.8065962429980793 -14.740047129699462 0.10089692338268744 4 2.8490359866050379 -1.1233146899768371 1.48961767441662E-2 5 2.8525370605699987 1.7201562800778447E-2 1.2273544184071737E-3 6 2.8524842564617434 -1.957886388481711E-5 1.8511621277361357E-5 7 2.8524843164951879 -3.4054892239510082E-10 2.1046020863524714E-8 RAÍZ CERO X( 350.899 )= 2.8490359866050379 Redodeando X( 350.899 )= 2.8490359866050379 P4 -1057.5999999999999 = 2.3186241751536727 21.195557252969593 *x -0.66991218930343166 *x^2 12.648636204508875 *x^3 Reacomodando 0= 1059.9186241751536 21.195557252969593 *x -0.66991218930343166 *x^2 12.648636204508875 *x^3 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 1.9374100000000001 1190.4517121834749 1 2.3013300000000001 1259.3117478999734 2 -4.3540358668224428 -89.113718213573293 1.5285509973714344 3 -3.9142011014841351 208.16064455349795 0.11236897490308737 4 -4.2221869210403185 6.4426703277950992 7.29446197707177E-2 5 -4.2320236800532562 -0.49119071668951619 2.3243629423203046E-3 6 -4.231326849718978 1.0261996686722341E-3 1.6468364629514099E-4 7 -4.2313283025074426 1.6289084214804461E-7 3.4334099383848364E-7 RAÍZ CERO X( -1057.5999999999999 )= -4.2320236800532562 Redodeando X( -1057.5999999999999 )= -4.2320236800532562