Profesor Margarito Filomeno Nicolas 2022-01-04T01:09:33Z 2022-12-31T02:18:41Z 16.00 836318a7-025e-496d-8d66-beb15bdd159a 6540 21765 32767 32767 False False Universidad Autónoma Metropolitana. Unidad Lerma. Ajuste de curvas: tablas equiespaciadas ejercicio 15 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 15 - Ajuste de curvas - Equiespaciadas Hallar los valores solicitados con las curva solicitada x y P1 y( 4.7478300000000004 ) 4.9466900000000003 15.487299999999999 P2 y( 14.7408 ) 5.3408100000000003 16.249400000000001 P3 x( 19.526299999999999 ) 5.7349399999999999 17.588899999999999 P4 x( 15.511900000000001 ) 6.1290699999999996 19.3005 6.5232000000000001 21.121600000000001 Ajustar a la curva: 6.9173299999999998 22.773 7.3114600000000003 24.0015 Mejor curva 7.7055899999999999 24.6188 8.09971 24.530100000000001 8.4938400000000005 23.749099999999999 8.8879699999999993 22.395499999999998 9.2820999999999998 20.6769 9.6762300000000003 18.8568 10.070399999999999 17.214300000000001 10.464499999999999 16.001300000000001 10.858599999999999 15.403700000000001 11.252700000000001 15.513199999999999 11.6469 16.312999999999999 12.041 17.680399999999999 12.4351 19.405799999999999 12.8293 21.224699999999999 13.2234 22.858000000000001 13.6175 24.055499999999999 14.0116 24.633299999999998 14.405799999999999 24.503 14.799899999999999 23.6846 15.194000000000001 22.3034 15.588200000000001 20.571400000000001 15.9823 18.754000000000001 16.3764 17.13 16.770499999999998 15.948399999999999 17.1647 15.3903 17.558800000000002 15.541399999999999 17.9529 16.378499999999999 18.347100000000001 17.773099999999999 18.741199999999999 19.511500000000002 Criterio de Convergencia ND Tol NCSINV TolINV NumPtos MaxIter 4 5.0000000000000002E-5 6 4.9999999999999996E-6 36 34 Ajuste a curva polinomial Ajuste a curva exponencial Ajuste a curva potencial n 1 n 2 n 3 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 ∑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 4.9466900000000003 15.487299999999999 4.9466900000000003 24.469741956100002 15.487299999999999 76.610872037000007 20.548460285288559 25.615343433382179 121.04422783682033 598.76827139812076 378.97023459670754 18.596597048782051 9.6677281375647777 2961.9210204423703 14651.705092612068 1874.6482697771874 18.33492003111234 8.108939841592246 2.7400203332318469 13.554031182194645 20.276128589322127 22.932879257908958 1.5987186660411319 2.5559013731483362 4.3805216520699961 20.09662850871473 21.245909301250361 5.3408100000000003 16.249400000000001 5.3408100000000003 28.524251456100004 16.249400000000001 86.784958014000011 20.499886131224013 18.066632351727666 152.34260741925345 813.63292113082321 463.50197161075141 18.882621182224373 6.933853794515116 4345.4588415047119 23208.270035296784 2475.4759649984171 18.710660337653813 6.0578024497077561 2.78805598501715 14.890477285339445 20.226773014120234 15.81949609345186 1.675377326862296 2.8068891873642525 4.6710457833204586 20.032168824375852 14.309339978669852 5.7349399999999999 17.588899999999999 5.7349399999999999 32.889536803600002 17.588899999999999 100.87128616599999 20.451310744688289 8.1933952713069722 188.6195201964378 1081.7216311553591 578.49077388484 19.148970008430226 2.4338184312034881 6203.6086513781147 35577.32339913441 3317.6098787831247 19.053533854960317 2.1451523290959238 2.867268021262487 16.443610065859087 20.17753633112682 6.7010380548297297 1.746577288451628 3.0505322245350412 5.0079052058406992 19.972484384446975 5.6814745177794714 6.1290699999999996 19.3005 6.1290699999999996 37.565499064899996 19.3005 118.29411553499999 20.402735358152565 1.2149227847617148 230.2415733537066 1411.1667199950025 725.0329147021024 19.395636020414667 9.0508623803400128E-3 8649.1396085197684 53011.182100390259 4443.7774865132142 19.364330259359345 4.0743020098813563E-3 2.9601310023110177 18.142850122334387 20.128419501703252 0.6854507013005624 1.813043025551117 3.2871250124995481 5.366844868457628 19.916928972829741 0.37998467854392981 6.5232000000000001 21.121600000000001 6.5232000000000001 42.552138239999998 21.121600000000001 137.78042112 20.354159971616841 0.58896419716474468 277.576108167168 1810.6844687960702 898.76924304998397 19.622619218177693 2.2469433842726172 11811.456926850526 77048.495825231337 5862.8515262636556 19.643849184673492 2.1837474721981618 3.0502962135443581 19.897692260192557 20.079422234097986 1.0861344957405139 1.8753650530828518 3.5169940823244477 5.7204189204320368 19.864977472471644 1.5791001766917567 6.9173299999999998 22.773 6.9173299999999998 47.849454328899995 22.773 157.52835608999999 20.305584585081117 6.0881388297793197 330.99046591292978 2289.5702795734865 1089.6756234320396 19.829919601719297 8.6617222307441004 15837.713182002064 109554.68852525833 7537.6458802351499 19.892890264725349 8.2950320872238201 3.125575623702741 21.620638029107681 20.030544237269673 7.5210636105327771 1.9340298570245977 3.7404714878625858 6.0449565766293798 19.816198447593194 8.7426754203152939 7.3114600000000003 24.0015 7.3114600000000003 53.457447331600001 24.0015 175.48600719000001 20.257009198545394 14.021211362178162 390.85198786710015 2857.6986752107882 1283.0589221293974 20.017537171039489 15.871959822539036 20893.94955585667 152765.2764196638 9381.0339867922048 20.112253133337529 15.126241189843853 3.1781163283949021 23.236670410406191 19.981785220885424 16.158106905432145 1.9894429802212135 3.9578833715514636 6.3226812198516544 19.770233161811035 17.903619055957641 7.7055899999999999 24.6188 7.7055899999999999 59.376117248100002 24.6188 189.702379092 20.20843381200967 19.451329912168362 457.52801530578688 3525.5232994601183 1461.7687553075243 20.185471926138259 19.654397810490657 27166.237081086892 209331.88478965237 11263.790703210107 20.302737424332612 18.628396157076608 3.2035103787073447 24.684937539063529 19.933144895319085 21.955363760022319 2.0419460394939382 4.1695436282049796 6.5413953302791885 19.726780151686309 23.931858196295106 8.09971 24.530100000000001 8.09971 65.605302084100003 24.530100000000001 198.68669627100002 20.159859657945123 19.099000647323933 531.38392134360561 4304.0556615460164 1609.3046206531815 20.333720355210282 17.609602123205487 34861.602682380886 282368.87186250731 13034.900728950781 20.465139000372275 16.523907928494438 3.1999009349029364 25.918269601442663 19.884624201264636 21.58044539663598 2.0918282585683334 4.3757454633450266 6.6936432002491912 19.68558469919472 23.469328499736477 8.4938400000000005 23.749099999999999 8.4938400000000005 72.145317945600013 23.749099999999999 201.721055544 20.111284271409399 13.233703275181153 612.79078737905525 5204.9469014717151 1713.3863704218491 20.462289981265258 10.803120099255068 44209.986189596515 375512.54909664253 14553.229688543921 20.600265719596855 9.9151573254419816 3.1675446350257843 26.904617322767411 19.836220388280857 15.310626855807339 2.1393411948876695 4.5767807481434017 6.7764587243560888 19.646425928378502 16.831934537955309 8.8879699999999993 22.395499999999998 8.8879699999999993 78.996010720899989 22.395499999999998 199.05053213499997 20.062708884873675 5.4419143868123134 702.11417340703747 6240.3697098165458 1769.1551580999155 20.571176793098815 3.3281551632382196 55464.218769758161 492964.31249904737 15724.197970537307 20.708912742383564 2.8445765775541245 3.1088600458221785 27.631454821466146 19.787934401467069 6.7993983506523925 2.1846986769940986 4.7729083092597646 6.791922429067526 19.609116296550493 7.7639341428489823 9.2820999999999998 20.6769 9.2820999999999998 86.157380410000002 20.6769 191.92505348999998 20.014133498337952 0.43925943572534987 799.72142070366101 7423.0941991134523 1781.4675389995291 20.660380790710956 2.728842755352244E-4 68901.902665590969 639554.35073228204 16535.759843747528 20.791879702554994 1.3220331999634819E-2 3.0290171351154065 28.115639949854714 19.739765954006899 0.87822022015939993 2.2280878143011353 4.9643753082372104 6.7489161680599725 19.573492072395943 1.2175090546994787 9.6762300000000003 18.8568 9.6762300000000003 93.62942701290001 18.8568 182.462733864 19.965558111802228 1.2293445504872416 905.97987054503346 8766.4696027639693 1765.5513792968529 20.729901974101679 3.5085110053836086 84826.376164352812 820799.52583279565 17083.881222893586 20.849966233933756 3.9727116360936736 2.9368735915475845 28.417864352740484 19.691714759782137 0.69708265610206377 2.2696723626182309 5.1514126336330222 6.6657408232388953 19.539410227345307 0.46595672247641229 10.070399999999999 17.214300000000001 10.070399999999999 101.41295615999999 17.214300000000001 173.35488672 19.916977795381793 7.3044672656497838 1021.2690337136638 10284.587677110081 1745.753051225088 20.779744402435554 12.712393786859016 103569.91174356935 1042990.4392224408 17580.431527057124 20.883974226522081 13.466508928800424 2.8457404337505707 28.657744464041745 19.643775674483745 5.9023520529082409 2.3096004278879505 5.3342541365002036 6.57252332344836 19.506741848550099 5.2552896289837898 10.464499999999999 16.001300000000001 10.464499999999999 109.50576024999998 16.001300000000001 167.44560385 19.868406106259602 14.954509637070299 1145.9230281361247 11991.511527930475 1752.2345214883248 20.809896413629989 23.122599469175189 125485.17238402845 1313139.5864126657 18336.258150114572 20.894696529118061 23.945329591184681 2.7726699689391787 29.014604889964033 19.595961778281726 12.921593300239538 2.3479885764478952 5.5130503551298133 6.5101974133293323 19.475384901099261 12.069265900045858 10.858599999999999 15.403700000000001 10.858599999999999 117.90919395999998 15.403700000000001 167.26261682000001 19.819834417137411 19.502243190225574 1280.3287735340557 13902.578020296896 1816.2378510016517 20.820368606883189 29.340298796793864 150962.53369119586 1639241.7683392193 19721.800328886533 20.882940746998003 30.022079163563223 2.7346077403020939 29.694011608844313 19.548264263406185 17.17741293350365 2.3849573927519065 5.688021765241972 6.5219229465100641 19.445234965935363 16.334004880878151 11.252700000000001 15.513199999999999 11.252700000000001 126.62325729000001 15.513199999999999 174.56538564000002 19.77126272801522 18.131098195712422 1424.8535273071832 16033.449286729541 1964.3319149912281 20.811160982195151 28.068390568862217 180419.59478878151 2030207.5742797218 22104.037739821793 20.849506331401173 28.476165262552254 2.7416912744119029 30.851429403574823 19.50068284657937 15.900019451764717 2.4206080998550363 5.8593435730838097 6.636560106143329 19.416204224792811 15.233441978750532 11.6469 16.312999999999999 11.6469 135.65027961000001 16.312999999999999 189.99587969999999 19.722678714181253 11.62590893394073 1579.9052415897092 18400.998358271187 2212.8630112779301 20.782263712149383 19.974318128735298 214314.58777894868 2496100.5724026375 25772.994206052925 20.795176369889422 20.089905010795125 2.7919623359541657 32.517706130624575 19.453205215836476 9.8608887975666182 2.4550400501817067 6.0272216479961971 6.8543793533663502 19.388207074884765 9.4568985534213166 12.041 17.680399999999999 12.041 144.985681 17.680399999999999 212.88969639999999 19.674107025059062 3.9748677017698588 1745.7725849210001 21020.847695033761 2563.4048343524 20.733691457968639 9.3225887273042662 253112.02709590152 3047721.9182617501 30865.957610437246 20.720778047424822 9.2438986712627838 2.8724566813879577 34.587250900592402 19.405855177310293 2.9771955689069003 2.488317492910082 6.1917239455223161 7.1475842079240968 19.36118703621101 2.8250450610949964 12.4351 19.405799999999999 12.4351 154.63171201 19.405799999999999 241.31306358000001 19.62553533593687 4.8283617859289647E-2 1922.8608020155511 23910.966359143578 3000.752076923658 20.665439385846653 1.5866913823761359 297335.25777258631 3697393.663927888 37314.652151753384 20.627099648056188 1.4915728303421696 2.9655719904590998 36.877184258557953 19.358620391058658 2.2259154998579256E-3 2.5205231190404835 6.3530367936175676 7.4747927631310658 19.335073129332603 5.002290234402627E-3 12.8293 21.224699999999999 12.8293 164.59093848999998 21.224699999999999 272.29804371 19.5769513221029 2.7150757055116359 2111.5865271697567 27090.177033018957 3493.3932921687024 20.577482686269136 0.41889025119299433 347548.00820971013 4458797.6617248338 44817.790563219933 20.51490988587555 0.50380200610879755 3.0551655978219028 39.195636004136539 19.311488634809429 3.6603777278943639 2.5517316175132376 6.5113342478167242 7.7959626527008812 19.309801346034078 3.6668368549604944 13.2234 22.858000000000001 13.2234 174.85830755999999 22.858000000000001 302.26047720000003 19.528379632980712 11.086371788469659 2312.2213441889039 30575.427722747547 3996.9111942064796 20.469865984654444 5.7031840752504923 404311.11094897991 5346367.5445227409 52852.75548546997 20.385065301400854 6.1154060235356535 3.1293011654754062 41.380001031547486 19.264483541267733 12.913360539179696 2.5819879874385636 6.6666619672770437 8.0798180183349952 19.285332105736856 12.763955882698651 13.6175 24.055499999999999 13.6175 185.43630625 24.055499999999999 327.57577124999995 19.479807943858521 20.936957792636221 2525.1789003593749 34386.623675643787 4460.7630649968751 20.342569465098517 13.785853157003801 468259.84790307924 6376528.4788201815 60744.441037594937 20.238339196594865 14.570716599052528 3.180363660634836 43.308602148694881 19.217592860387882 23.405345491509895 2.6113557302756925 6.8191787500436947 8.3050608695593571 19.261611179973119 22.981370018778705 14.0116 24.633299999999998 14.0116 196.32493456 24.633299999999998 345.15194627999995 19.43123625473633 27.061467209786667 2750.826453080896 38543.479929988287 4836.1310104968479 20.195593127601349 19.693242285334204 540055.82338702388 7567046.1749696238 67761.933266677632 20.075531022696858 20.773258050466918 3.2040991861051578 44.89455615603103 19.17081631368394 29.838728023269081 2.6398855579680194 6.9689957591681209 8.4584551676960906 19.238594995592127 29.102842084583333 14.405799999999999 24.503 14.405799999999999 207.52707363999997 24.503 352.98531739999999 19.38265224090236 26.217961174096228 2989.5935174431115 43067.486293581969 5085.0358854009191 20.02889218694061 20.017640722879083 620421.59404808306 8937669.3995378744 73254.009957908565 19.897393169932545 21.211614273163988 3.1987955590340089 46.081209064332121 19.124141797455881 28.932115563076156 2.667630903266538 7.1162546360626449 8.5332058865108831 19.216238064343717 27.949851764304171 14.799899999999999 23.6846 14.799899999999999 219.03704000999997 23.6846 350.52971153999999 19.334080551780172 18.927019469338955 3241.7262884439983 47977.224896342326 5187.8046778208454 19.842551219950735 14.76133882827804 710058.13074337679 10508789.3291889 76778.990451280726 19.704815638023643 15.838683567831557 3.1648250479071609 46.83909422652119 19.077592715140511 21.224516122748394 2.6946204239904854 7.2609792293866633 8.5280022124473014 19.194515098221174 20.160862425182163 15.194000000000001 22.3034 15.194000000000001 230.85763600000001 22.3034 338.87785960000002 19.285508862657981 9.1076669168475064 3507.6509213840004 53295.248099508499 5148.9101987623999 19.636530435019615 7.1121932766186644 809767.99962393218 12303614.986286025 78232.541559995909 19.498554593595454 7.8671577538286819 3.1047391332119707 47.173406390022684 19.031156935533694 10.707574672947839 2.7209006130810298 7.4033001462647237 8.4476866110131166 19.173386646818912 9.7969835910919176 15.588200000000001 20.571400000000001 15.588200000000001 242.99197924000001 20.571400000000001 320.67109748000001 19.23692484882401 1.780823929106182 3787.8075707889684 59045.101974972597 4998.685201737736 19.41077006482714 1.3470618464193576 920406.85860626784 14347486.193326224 77920.504661728191 19.279352314026358 1.6693872228298443 3.0239017616308339 47.137185440653766 18.98482244311084 2.5172283440243781 2.7465142177764994 7.5433403484484565 8.3051891814784877 19.152816488522816 2.0123791790349381 15.9823 18.754000000000001 15.9823 255.43391329000002 18.754000000000001 299.73205420000005 19.188353159701819 0.18866266734295281 4082.4214323747674 65246.484058643247 4790.4076098406604 19.165384650403311 0.16923733058745347 1042788.882170454 16666164.751512848 76561.731542756388 19.048119633348975 8.6506358721334609E-2 2.9314070629974336 46.850627102943882 18.938612470814746 3.4081764380325064E-2 2.7714818598936031 7.6811116997193052 8.1243414990613712 19.132786340606181 0.14347909182982066 16.3764 17.13 16.3764 268.18647695999999 17.13 280.52773200000001 19.139781470579631 4.0392215594852301 4391.929021287744 71923.986424216608 4594.0343503247996 18.900319418038251 3.1340308418832943 1177855.9712775408 19289040.52802952 75233.744134659049 18.805601996725059 2.8076420514290086 2.8408313123360287 46.522589903339743 18.892514975817083 3.1064590399794945 2.7958412740499314 7.8167284296811435 7.9425134356425016 19.113264328694331 3.9333373974713806 16.770499999999998 15.948399999999999 16.770499999999998 281.24967024999995 15.948399999999999 267.46264219999995 19.09120978145744 9.8772533224245667 4716.6975949276239 79101.377015733713 4485.4822410150991 18.615574367731952 7.1138191078863411 1326569.6432423622 22247236.201996032 75223.779922943708 18.552598855393864 6.7818516784347134 2.769358510719496 46.443526904021304 18.846529684342688 8.3991556672682499 2.8196213905367489 7.9502647859723892 7.8085424948896849 19.09422578929971 9.8962198966231458 17.1647 15.3903 17.1647 294.62692608999998 15.3903 264.16988241000001 19.04262576762347 13.339483512846369 5057.182798257023 86805.025577242312 4534.3967806029268 18.311069756456249 8.5308959702294942 1489982.2225256911 25575097.854986727 77831.560420015056 18.289841843577349 8.4073429026559339 2.733737440838186 46.923783050755212 18.800644697433363 11.630450955311856 2.8428549493319308 8.0818242629410548 7.7716190138608434 19.075643143541441 13.581754085647914 17.558800000000002 15.541399999999999 17.558800000000002 308.31145744000003 15.541399999999999 272.88833432000001 18.994054078501279 11.920820185791516 5413.5792188974729 95055.954788776944 4791.5916846580167 17.986960076657237 5.9807640885397531 1669068.4989451768 29306839.959278569 84134.600072573186 18.018263893092133 6.1348547449035191 2.7435074309717229 48.172698278946292 18.754883022641803 10.326473136807099 2.8655552487420421 8.2114068835930674 7.8616721187838161 19.057504475903063 12.362990685465554 17.9529 16.378499999999999 17.9529 322.30661841 16.378499999999999 294.04157264999998 18.945482389379091 6.5893985873823917 5786.3384896528887 103881.55627088936 5278.8989496281847 17.643170578916994 1.5993916731782472 1864975.1915756494 33481713.116838478 94771.544952779834 17.738598994472369 1.849869274764752 2.7959694991400936 50.195760821112188 18.709232733970953 5.4323150772037199 2.887751661773474 8.3391096600754597 8.0740655674097539 19.039785116330627 7.0824384704029253 18.347100000000001 17.773099999999999 18.347100000000001 336.61607841000006 17.773099999999999 326.08484300999999 18.896898375545121 1.2629227888778529 6175.9288521961125 113310.3842441273 5982.7112231887722 17.27960653810954 0.24353579692863009 2078916.9507654281 38142097.18738839 109765.40108296672 17.451572929715198 0.10337965692592778 2.8776860782741509 52.797194246703675 18.66368201914652 0.79313633282709428 2.9094715238640965 8.4650245481760678 8.3725456993587901 19.022462135082002 1.560905744576659 18.741199999999999 19.511500000000002 18.741199999999999 351.23257743999994 19.511500000000002 365.66892380000002 18.848326686422929 0.43979884384079387 6582.5199803185269 123364.32345514555 6853.0744347205591 16.896452410876591 6.8384738933801597 2311995.4587375736 43329569.291292615 128434.83859598495 17.158130943703135 5.5383459151356043 2.9710040353290341 55.68018082690849 18.618253718111191 0.79788892010818435 2.9307243089117248 8.5891449748461071 8.7071937482136281 19.005526934016775 0.25600874350046687 ∑ 426.38173999999998 5653.5243989228002 709.1422 8324.6578083079985 373.71544443401166 3.3153628336348651 81255.286581426059 1234542.502726526 109091.94256701479 341.30596975476413 3.2159920932868853 19494314.849304665 316437202.61875641 1549105.1025739247 340.81423716662158 3.2635019398579992 OSCILA 106.80456313621812 1261.2547361956392 376.58620175750139 3.3280722284189643 86.553092971586949 213.31787537667361 256.56628519266684 381.95378849278148 3.3517062752678739 Ecuaciones Normales Ecuaciones Normales Ecuaciones Normales Ecuaciones Normales Ecuaciones Normales NP ∑x ∑y NP ∑x ∑x² ∑y NP ∑x ∑x² ∑x³ ∑y NP ∑x ∑ln(y) NP ∑ln(x) ∑ln(y) ∑x ∑x² ∑yx ∑x ∑x² ∑x³ ∑yx ∑x ∑x² ∑x³ ∑x⁴ ∑yx ∑x ∑x² ∑ln(y)x ∑ln(x) ∑ln(x)² ∑ln(y)ln()x ∑x² ∑x³ ∑x⁴ ∑yx² ∑x² ∑x³ ∑x⁴ ∑x⁵ ∑yx² 36 426.38173999999998 709.1422 ∑x³ ∑x⁴ ∑x⁵ ∑x⁶ ∑yx³ 36 426.38173999999998 106.80456313621812 36 86.553092971586949 106.80456313621812 426.38173999999998 5653.5243989228002 8324.6578083079985 36 426.38173999999998 5653.5243989228002 709.1422 426.38173999999998 5653.5243989228002 1261.2547361956392 86.553092971586949 213.31787537667361 256.56628519266684 426.38173999999998 5653.5243989228002 81255.286581426059 8324.6578083079985 36 426.38173999999998 5653.5243989228002 81255.286581426059 709.1422 Matriz Inversa 5653.5243989228002 81255.286581426059 1234542.502726526 109091.94256701479 426.38173999999998 5653.5243989228002 81255.286581426059 1234542.502726526 8324.6578083079985 a A B Matriz Inversa 5653.5243989228002 81255.286581426059 1234542.502726526 19494314.849304665 109091.94256701479 3.040033349348878 20.905940422968101 -6.1837484887168337E-3 0.2602254015159815 -1.9625874350471331E-2 Matriz Inversa 81255.286581426059 1234542.502726526 19494314.849304665 316437202.61875641 1549105.1025739247 -6.1837484887168337E-3 1.1346356881701085 -0.46037505311571664 -1.9625874350471331E-2 1.6570397142639552E-3 -0.46037505311571664 0.19148364712519786 2.1496369469655141 -0.38197869279329488 1.5296972911596521E-2 Matriz Inversa a -0.38197869279329449 7.1149345585729717E-2 -2.9336653846061584E-3 a A B 21.158125570403627 1.5296972911596485E-2 -2.9336653846061557E-3 1.2384669757188558E-4 18.546573481800355 -5.2930319613416046 0.46193513618653109 -1.2570087115736301E-2 3.0675518204945575 21.489228734305083 -4.1908408781836215E-2 -0.1232471177929213 -5.2930319613415087 1.5420609488159802 -0.13670644708378421 3.7648720103614372E-3 -4.1908408781836215E-2 a 0.46193513618651394 -0.13670644708378174 1.2289878350484458E-2 -3.4239814307085805E-4 13.332856524492172 -1.2570087115735637E-2 3.7648720103613115E-3 -3.4239814307085285E-4 9.6363787077854042E-6 1.3774890773937045 -6.3354608427994563E-2 a 10.493330500732554 2.2279566955758128 -0.14070080569763377 2.1768145171989772E-3 Resumen Mejor curva Curva σ_xy y= 13.332856524492172 + 1.3774890773937045 *x + -6.3354608427994563E-2 *x^2 ± 3.2159920932868853 P2(x) 3.2159920932868853 A*exp(B*X) 3.3280722284189643 A*x^B 3.3517062752678739 Evaluación de puntos Evaluando en X P1 Y( 4.7478300000000004 )= 18.444807895079926 Redondeando a las cifras que representa la curva Y( 4.7478300000000004 )= 18.444807895079926 P2 Y( 14.7408 )= 19.871749598815022 Redondeando a las cifras que representa la curva Y( 14.7408 )= 19.871749598815022 Evaluando en Y P3 19.526299999999999 = 13.332856524492172 + 1.3774890773937045 *x + -6.3354608427994563E-2 *x^2 Reacomodando 0= -6.1934434755078271 + 1.3774890773937045 *x + -6.3354608427994563E-2 *x^2 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 6.1290699999999996 -0.13066397958533083 1 6.5232000000000001 9.6319218177692623E-2 2 6.3559528476358516 2.4040229395212442E-3 2.6313466505082317E-2 3 6.3516716874909633 -4.6523834254408314E-5 6.7402100667759198E-4 4 6.3517529656722775 2.1626649804318276E-8 1.2796181109918409E-5 CERO 5 6.3517529279075902 1.9584334154387761E-13 5.9455535827497058E-9 RAÍZ CERO X( 19.526299999999999 )= 6.3517529279075902 con x4 = 6.12907 y x5 = 6.5232 Redodeando X( 19.526299999999999 )= 6.3517529279075902 P4 15.511900000000001 = 13.332856524492172 + 1.3774890773937045 *x + -6.3354608427994563E-2 *x^2 0 Reacomodando 0= -2.1790434755078287 + 1.3774890773937045 *x + -6.3354608427994563E-2 *x^2 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 17.1647 2.7991697564562443 1 17.558800000000002 2.4750600766572397 2 20.56834040254375 -0.64896617195072182 0.14631906822057211 3 19.943156822463354 9.4440227130498045E-2 3.1348275784313574E-2 4 20.022578360096098 2.7461220120628127E-3 3.9665989167022766E-3 5 20.024956934296082 -1.2326756365865776E-5 1.1878049015476625E-4 6 20.024946305095714 1.594596454879138E-9 5.3079794601838149E-7 RAÍZ CERO X( 15.511900000000001 )= 20.024946305095714 con x32 = 17.1647 y x33 = 17.5588 Redodeando X( 15.511900000000001 )= 20.024946305095714