CASO UNO

CALCULAR EL O LOS VALORES DE "X" Y DE "Y" ECUACIONES :

DATOS :N° A B C D E F1 1500000 -6400000 140 -2000000 512000000 6002 510102588 -408040 1037 -680136784 8242408 -11943 1687296 -6336160 146 -2249728 504358336 5884 501383076 -424360 1031 -668510768 8741816 -11825 1889568 -6272640 152 -2519424 496793088 5766 492763500 -441000 1025 -657018000 9261000 -11707 2107392 -6209440 158 -2809856 489303872 5648 484243284 -457960 1019 -645657712 9800344 -11589 2341344 -6146560 164 -3121792 481890304 55210 475821852 -475240 1013 -634429136 10360232 -114611 2592000 -6084000 170 -3456000 474552000 54012 467498628 -492840 1007 -623331504 10941048 -113413 2859936 -6021760 176 -3813248 467288576 52814 459273036 -510760 1001 -612364048 11543176 -112215 3145728 -5959840 182 -4194304 460099648 51616 451144500 -529000 995 -601526000 12167000 -111017 3449952 -5898240 188 -4599936 452984832 50418 443112444 -547560 989 -590816592 12812904 -109819 3773184 -5836960 194 -5030912 445943744 49220 435176292 -566440 983 -580235056 13481272 -108621 4116000 -5776000 200 -5488000 438976000 48022 427335468 -585640 977 -569780624 14172488 -107423 4478976 -5715360 206 -5971968 432081216 46824 419589396 -605160 971 -559452528 14886936 -1062

)2(FY

E

X

D

)1(CY

B

X

A

22

22

25 4862688 -5655040 212 -6483584 425259008 45626 411937500 -625000 965 -549250000 15625000 -105027 5267712 -5595040 218 -7023616 418508992 44428 404379204 -645160 959 -539172272 16387064 -103829 5694624 -5535360 224 -7592832 411830784 43230 396913932 -665640 953 -529218576 17173512 -102631 6144000 -5476000 230 -8192000 405224000 42032 389541108 -686440 947 -519388144 17984728 -101433 6616416 -5416960 236 -8821888 398688256 40834 382260156 -707560 941 -509680208 18821096 -100235 7112448 -5358240 242 -9483264 392223168 39636 375070500 -729000 935 -500094000 19683000 -99037 7632672 -5299840 248 -10176896 385828352 38438 367971564 -750760 929 -490628752 20570824 -97839 8177664 -5241760 254 -10903552 379503424 37240 360962772 -772840 923 -481283696 21484952 -96641 8748000 -5184000 260 -11664000 373248000 36042 354043548 -795240 917 -472058064 22425768 -95443 9344256 -5126560 266 -12459008 367061696 34844 347213316 -817960 911 -462951088 23393656 -94245 9967008 -5069440 272 -13289344 360944128 33646 340471500 -841000 905 -453962000 24389000 -93047 10616832 -5012640 278 -14155776 354894912 32448 333817524 -864360 899 -445090032 25412184 -91849 11294304 -4956160 284 -15059072 348913664 31250 327250812 -888040 893 -436334416 26463592 -90651 12000000 -4900000 290 -16000000 343000000 30052 320770788 -912040 887 -427694384 27543608 -89453 12734496 -4844160 296 -16979328 337153536 28854 314376876 -936360 881 -419169168 28652616 -88255 13498368 -4788640 302 -17997824 331373888 27656 308068500 -961000 875 -410758000 29791000 -87057 14292192 -4733440 308 -19056256 325660672 264

58 301845084 -985960 869 -402460112 30959144 -85859 15116544 -4678560 314 -20155392 320013504 25260 295706052 -1011240 863 -394274736 32157432 -84661 15972000 -4624000 320 -21296000 314432000 24062 289650828 -1036840 857 -386201104 33386248 -83463 16859136 -4569760 326 -22478848 308915776 22864 283678836 -1062760 851 -378238448 34645976 -822

65.00 17,778,528.00 -4,515,840.00 332.00 -23,704,704.00 303,464,448.00 216.0066 277789500 -1089000 845 -370386000 35937000 -81067 18730752 -4462240 338 -24974336 298077632 20468 271982244 -1115560 839 -362642992 37259704 -79869 19716384 -4408960 344 -26288512 292754944 19270 266256492 -1142440 833 -355008656 38614472 -78671 20736000 -4356000 350 -27648000 287496000 18072 260611668 -1169640 827 -347482224 40001688 -77473 21790176 -4303360 356 -29053568 282300416 16874 255047196 -1197160 821 -340062928 41421736 -76275 22879488 -4251040 362 -30505984 277167808 15676 249562500 -1225000 815 -332750000 42875000 -75077 24004512 -4199040 368 -32006016 272097792 14478 244157004 -1253160 809 -325542672 44361864 -73879 25165824 -4147360 374 -33554432 267089984 13280 238830132 -1281640 803 -318440176 45882712 -72681 26364000 -4096000 380 -35152000 262144000 12082 233581308 -1310440 797 -311441744 47437928 -71483 27599616 -4044960 386 -36799488 257259456 10884 228409956 -1339560 791 -304546608 49027896 -70285 28873248 -3994240 392 -38497664 252435968 9686 223315500 -1369000 785 -297754000 50653000 -69087 30185472 -3943840 398 -40247296 247673152 8488 218297364 -1398760 779 -291063152 52313624 -67889 31536864 -3893760 404 -42049152 242970624 7290 213354972 -1428840 773 -284473296 54010152 -666

91 32928000 -3844000 410 -43904000 238328000 6092 208487748 -1459240 767 -277983664 55742968 -65493 34359456 -3794560 416 -45812608 233744896 4894 203695116 -1489960 761 -271593488 57512456 -64295 35831808 -3745440 422 -47775744 229220928 3696 198976500 -1521000 755 -265302000 59319000 -63097 37345632 -3696640 428 -49794176 224755712 2498 194331324 -1552360 749 -259108432 61162984 -61899 38901504 -3648160 434 -51868672 220348864 12

100 189759012 -1584040 743 -253012016 63044792 -606101 40500000 -3600000 440 -54000000 216000000 0102 185258988 -1616040 737 -247011984 64964808 -594103 42141696 -3552160 446 -56188928 211708736 -12104 180830676 -1648360 731 -241107568 66923416 -582105 43827168 -3504640 452 -58436224 207474688 -24106 176473500 -1681000 725 -235298000 68921000 -570107 45556992 -3457440 458 -60742656 203297472 -36108 172186884 -1713960 719 -229582512 70957944 -558109 47331744 -3410560 464 -63108992 199176704 -48110 167970252 -1747240 713 -223960336 73034632 -546111 49152000 -3364000 470 -65536000 195112000 -60112 163823028 -1780840 707 -218430704 75151448 -534113 51018336 -3317760 476 -68024448 191102976 -72114 159744636 -1814760 701 -212992848 77308776 -522115 52931328 -3271840 482 -70575104 187149248 -84116 155734500 -1849000 695 -207646000 79507000 -510117 54891552 -3226240 488 -73188736 183250432 -96118 151792044 -1883560 689 -202389392 81746504 -498119 56899584 -3180960 494 -75866112 179406144 -108120 147916692 -1918440 683 -197222256 84027672 -486121 58956000 -3136000 500 -78608000 175616000 -120122 144107868 -1953640 677 -192143824 86350888 -474123 61061376 -3091360 506 -81415168 171879616 -132

124 140364996 -1989160 671 -187153328 88716536 -462125 63216288 -3047040 512 -84288384 168196608 -144126 136687500 -2025000 665 -182250000 91125000 -450127 65421312 -3003040 518 -87228416 164566592 -156128 133074804 -2061160 659 -177433072 93576664 -438129 67677024 -2959360 524 -90236032 160989184 -168130 129526332 -2097640 653 -172701776 96071912 -426131 69984000 -2916000 530 -93312000 157464000 -180132 126041508 -2134440 647 -168055344 98611128 -414133 72342816 -2872960 536 -96457088 153990656 -192134 122619756 -2171560 641 -163493008 101194696 -402135 74754048 -2830240 542 -99672064 150568768 -204136 119260500 -2209000 635 -159014000 103823000 -390137 77218272 -2787840 548 -102957696 147197952 -216138 115963164 -2246760 629 -154617552 106496424 -378139 79736064 -2745760 554 -106314752 143877824 -228140 112727172 -2284840 623 -150302896 109215352 -366141 82308000 -2704000 560 -109744000 140608000 -240142 109551948 -2323240 617 -146069264 111980168 -354143 84934656 -2662560 566 -113246208 137388096 -252144 106436916 -2361960 611 -141915888 114791256 -342145 87616608 -2621440 572 -116822144 134217728 -264146 103381500 -2401000 605 -137842000 117649000 -330147 90354432 -2580640 578 -120472576 131096512 -276148 100385124 -2440360 599 -133846832 120553784 -318149 93148704 -2540160 584 -124198272 128024064 -288150 97447212 -2480040 593 -129929616 123505992 -306

CASO DOS

CALCULAR EL VALOR DE LA VARIABLE "R" Y DE LA VARIABLE "n"FÓRMULAS :

DATOS A ESTUDIANTES :N° S A p i1 1635.191484885010000 1350.754064925570000 4 0.12 1559.921307365880000 1416.759319869650000 4 0.13 10725.089885532700000 7314.915434172820000 4 0.14 10163.032421816900000 7621.095466115450000 4 0.15 29348.968390353200000 16527.300077459100000 4 0.16 27734.905297828800000 17172.023769271300000 4 0.17 60117.684173004000000 27951.943982765500000 4 0.18 56692.718752611000000 28981.628220703600000 4 0.19 106305.253679311000000 40809.869477995000000 4 0.110 100063.190507059000000 42234.810073101100000 4 0.111 172005.569295957000000 54519.729120638900000 4 0.112 161625.912166830000000 56325.867740936000000 4 0.113 262324.267149703000000 68651.550697797800000 4 0.114 246088.707310379000000 70809.135135390500000 4 0.115 383613.294152506000000 82890.781717718800000 4 0.116 359301.864413663000000 85360.662795648600000 4 0.117 543757.277517562000000 97010.417000250100000 4 0.118 508519.502733212000000 99748.557584022500000 4 0.119 752522.661493655000000 110849.458153343000000 4 0.120 702718.011565308000000 113810.098360879000000 4 0.1

1)i1(

1)i1(

p

RS

P

1

n

1)i1(

)i1(1

p

RA

P

1

n

21 1021982.801154430000000 124296.323125488000000 4 0.122 952983.512663251000000 127434.143218412000000 4 0.123 1367034.858750010000000 137276.117071001000000 4 0.124 1272982.691938100000000 140547.659546935000000 4 0.125 1806027.512742250000000 149740.907988216000000 4 0.126 1679534.199843000000000 153105.458236084000000 4 0.127 2361522.254555910000000 161662.334403127000000 4 0.128 2193301.211467100000000 165082.411100561000000 4 0.129 3061215.519437960000000 173026.017687118000000 4 0.130 2839629.761780670000000 176467.586883753000000 4 0.131 3939054.198517370000000 183827.366329568000000 4 0.132 3649562.237792820000000 187259.864483543000000 4 0.133 5036583.350889870000000 194068.449944768000000 4 0.134 4661061.043133440000000 197464.679179887000000 4 0.135 6404572.339928880000000 203755.692006282000000 4 0.136 5920484.095441990000000 207091.634052971000000 4 0.137 8104974.342685210000000 212898.186274632000000 4 0.138 7484361.636503490000000 216152.768785956000000 4 0.139 10213284.435834100000000 221506.485801186000000 4 0.140 9421533.014281500000000 224661.325083693000000 4 0.141 12821373.483498300000000 229591.747784140000000 4 0.142 11815712.842433200000000 232630.884738507000000 4 0.143 16040889.106602400000000 237165.144431639000000 4 0.144 14768568.487365200000000 240074.785102884000000 4 0.145 20007331.393522900000000 244237.470947090000000 4 0.146 18403405.429218600000000 247005.739104176000000 4 0.147 24884930.038134300000000 250818.898055874000000 4 0.148 22869573.966618900000000 253435.604318760000000 4 0.149 30872471.608596300000000 256918.829141038000000 4 0.150 28347730.278889100000000 259375.259088137000000 4 0.151 38210251.021631800000000 262545.831838550000000 4 0.152 35056107.328905800000000 264834.554057257000000 4 0.153 47188350.395058200000000 267707.621484156000000 4 0.1

54 43257976.792288200000000 269822.315516348000000 4 0.155 58156481.642954500000000 272411.079595917000000 4 0.156 53270512.428905200000000 274346.383059780000000 4 0.157 71535666.802963200000000 276662.295006006000000 4 0.158 65475298.331396500000000 278413.668754478000000 4 0.159 87832072.425403000000000 280466.618626743000000 4 0.160 80330762.488309100000000 282030.228562096000000 4 0.161 107653361.588535000000000 283828.725387745000000 4 0.162 98386857.174850300000000 285201.339439289000000 4 0.163 131727979.250063000000000 286752.678800180000000 4 0.164 120302352.754304000000000 287931.577548738000000 4 0.165 160927843.472854000000000 289241.995036699000000 4 0.166 146865160.214316000000000 290224.894506189000000 4 0.167 196294975.986724000000000 291299.704475163000000 4 0.168 179016149.498451000000000 292084.689687088000000 4 0.169 239072669.475154000000000 292928.409429518000000 4 0.170 217876984.253611000000000 293513.877414750000000 4 0.171 290741854.108038000000000 294130.337350578000000 4 0.172 264782547.143359000000000 294514.948423400000000 4 0.173 353063389.413872000000000 294907.389176158000000 4 0.174 321318580.589664000000000 295090.025390312000000 4 0.175 428127065.521473000000000 295261.182784826000000 4 0.176 389365211.657773000000000 295240.912604899000000 4 0.177 518408144.266033000000000 295193.091691823000000 4 0.178 471147061.067540000000000 294969.140022216000000 4 0.179 626832297.466751000000000 294704.279243524000000 4 0.180 569290647.045254000000000 294276.002059266000000 4 0.181 756849795.560299000000000 293795.728636298000000 4 0.182 686889774.026351000000000 293162.591553922000000 4 0.183 912519749.352311000000000 292468.269120579000000 4 0.184 827579529.323262000000000 291629.829332613000000 4 0.185 1098605090.221350000000000 290722.598761840000000 4 0.186 995619377.983494000000000 289678.489835103000000 4 0.1

87 1320678762.008140000000000 288559.304124489000000 4 0.188 1195985620.820450000000000 287309.223230668000000 4 0.189 1585241254.338700000000000 285978.877228417000000 4 0.190 1434473128.142730000000000 284522.574435658000000 4 0.191 1899849083.860840000000000 282981.730104934000000 4 0.192 1717805736.194520000000000 281318.999412166000000 4 0.193 2273253063.330560000000000 279568.207252368000000 4 0.194 2053753934.763600000000000 277698.879094252000000 4 0.195 2715544105.776530000000000 275738.596263556000000 4 0.196 2451257404.660210000000000 273662.531254124000000 4 0.197 3238302784.311670000000000 271493.136869495000000 4 0.198 2920548481.377760000000000 269210.220587251000000 4 0.199 3854746767.893570000000000 266832.028616321000000 4 0.1

100 3473270595.001580000000000 264342.167263507000000 4 0.1101 4579867399.098560000000000 261755.437367339000000 4 0.1102 4122582997.122360000000000 259058.554161744000000 4 0.1103 5430542839.501170000000000 256263.500798220000000 4 0.1104 4883239415.523300000000000 253359.532977927000000 4 0.1105 6425610083.219930000000000 250356.333032026000000 4 0.1106 5771623397.585500000000000 247245.229372225000000 4 0.1107 7585871347.354800000000000 244034.028541359000000 4 0.1108 6805716656.393010000000000 240715.747298375000000 4 0.1109 8934001400.672690000000000 237296.665427682000000 4 0.1110 8004968263.055500000000000 233771.172638890000000 4 0.1111 10494310665.379100000000000 230144.308172540000000 4 0.1112 9390021453.025990000000000 226411.576252383000000 4 0.1113 12292303626.871300000000000 222577.009942013000000 4 0.1114 10982240392.832400000000000 218637.016524021000000 4 0.1115 14353952203.075900000000000 214594.814513943000000 4 0.1116 12802960546.071500000000000 210447.541496887000000 4 0.1117 16704577976.242400000000000 206197.757887276000000 4 0.1118 14872362090.545300000000000 201843.190650486000000 4 0.1119 19367203950.654500000000000 197385.869624021000000 4 0.1

120 17207834660.566800000000000 192823.996382703000000 4 0.1121 22360193712.239000000000000 188159.173966653000000 4 0.1122 19821661607.566300000000000 183389.985242940000000 4 0.1123 25693940929.332300000000000 178517.690767286000000 4 0.1124 22717800572.125800000000000 173541.178956832000000 4 0.1125 29366301763.228400000000000 168461.436259272000000 4 0.1126 25887471392.238000000000000 163277.595276615000000 4 0.1127 33356372809.368400000000000 157990.423697102000000 4 0.1128 29303178391.830900000000000 152599.248685903000000 4 0.1129 37616102444.638800000000000 147104.663886408000000 4 0.1130 32910687059.186900000000000 141506.150983034000000 4 0.1131 42059077341.751900000000000 135804.165622358000000 4 0.1132 36618338945.751800000000000 129998.311763294000000 4 0.1133 46545640163.961500000000000 124088.936051829000000 4 0.1134 40282915635.410800000000000 118075.738817025000000 4 0.1135 50863258688.859700000000000 111958.980972214000000 4 0.1136 43691043236.564100000000000 105738.438457886000000 4 0.1137 54700767793.208900000000000 99414.305077638200000 4 0.1138 46534850967.236400000000000 92986.415793155400000 4 0.1139 57614727510.149500000000000 86454.912161581900000 4 0.1140 48380245906.148300000000000 79819.674946030800000 4 0.1141 58985662250.187800000000000 73080.805283403100000 4 0.1142 48625721911.680100000000000 66238.219238209000000 4 0.1143 57961342587.190200000000000 59291.986905017900000 4 0.1144 46449060328.549600000000000 52242.051339638500000 4 0.1145 53383509619.269600000000000 45088.459002931500000 4 0.1146 40738573707.914300000000000 37831.173391185600000 4 0.1147 43693482632.113200000000000 30470.223159940000000 4 0.1148 30004654222.032100000000000 23005.587104968900000 4 0.1149 26810883380.701500000000000 15437.280640086300000 4 0.1150 12266269349.896000000000000 7765.293846314050000 4 0.1

CASO TRES

CALCULAR EL VALOR DE LA VARIABLE " n " Y EL DE LA VARIABLE " p "

FÓRMULAS :

i = 0.10PARÁMETROS : j = 0.20

m = 2DATOS A ESTUDIANTES :

N° A B C D1 322.1283195101530 137.5 43.96784260704820 182 96.7174609227537 87.5 14.44153289147910 133 5169.4150407978200 337.5 695.48957775629400 384 4870.9658207622800 327.5 657.30749603766900 375 19350.1170501614000 507.5 2810.58203952147000 556 132515.6255663360000 907.5 24292.87885111890000 957 1636.6528483281000 217.5 222.09185110584900 268 18279.7584947179000 487.5 2678.61833900293000 539 450337.8169471310000 1267.5 107937.72152882600000 13110 1611.0102390951900 207.5 222.53151619703800 2511 547709.3804717190000 1327.5 139261.59889403800000 13712 39420.8997023943000 607.5 6289.15045678350000 6513 153227.5003354480000 917.5 29670.40011295010000 9614 480595.7892385570000 1267.5 119604.61413932300000 13115 625596.9593361430000 1357.5 167718.63924068300000 14016 3459021.2109808500000 2087.5 1679300.61881816000000 213

)1(

p

1

n

1)i1(

1)i1(BA

)2(

p

m

nm

1)m/j1(

1)m/j1(DC

17 63677.7974741323000 687.5 10978.81361133180000 7318 2875358.0253494000000 1987.5 1305365.84728165000000 20319 1021523.8138433100000 1527.5 321950.50831415500000 15720 3063891.8681006900000 2007.5 1438677.82691558000000 20521 24985571.4072307000000 3157.5 32650917.33281290000000 32022 63160.2628745724000 667.5 11125.97894429770000 7123 748155.3550110380000 1387.5 218369.73137682200000 14324 36025071.7589374000000 3367.5 58665439.43090330000000 34125 29175.1109170469000 507.5 4798.60750241402000 5526 25005177.1814426000000 3127.5 33284806.78614620000000 31727 724961.6153825790000 1357.5 213393.97177243200000 14028 3073460.2547234600000 1967.5 1493726.72732687000000 20129 3591355.8607086500000 2037.5 1868015.55564273000000 20830 12816714.8492174000000 2707.5 12096162.50657690000000 27531 106554080.1524440000000 4037.5 345126459.71242600000000 40832 636704.0725977300000 1287.5 184764.02896286000000 13333 59798600.1895058000000 3637.5 135891254.59934200000000 36834 13818029.6641733000000 2727.5 13766083.26603420000000 27735 49941817.2679181000000 3507.5 102485780.54434700000000 35536 748260774.1255070000000 5407.5 9250627275.27853000000000 54537 413956.5367796240000 1117.5 109916.30388116200000 11638 6467466.1018621400000 2287.5 4516469.66849007000000 23339 833740071.1239070000000 5467.5 11225970485.57270000000000 55140 149777.6067443400000 807.5 32669.32228286460000 8541 411605170.5676890000000 4927.5 3386867185.64562000000000 49742 4746896.0558214100000 2107.5 2935032.36706491000000 21543 5295986.8573958800000 2157.5 3449989.43419933000000 22044 27992338.4323219000000 3087.5 42384271.74447390000000 31345 125624114.7033230000000 4057.5 472858892.76857800000000 41046 1757158058.9076900000000 5987.5 41425104819.36670000000000 60347 3183269.3036149500000 1887.5 1701522.78738126000000 19348 715442550.5370900000000 5287.5 8846289971.78912000000000 53349 107901154.4853500000000 3927.5 373322869.08833800000000 397

50 500297886.9378480000000 5007.5 4835740392.92922000000000 50551 14827749999.2413000000000 7657.5 1795319313365.15000000000000 77052 1639918.0502230200000 1567.5 699433.41309242900000 16153 35967213.1548841000000 3187.5 64884823.50907540000000 32354 13676188857.6331000000000 7567.5 1563982302953.79000000000000 76155 500919.2729894150000 1107.5 151892.97422760800000 11556 4945117798.3649300000000 6727.5 259130239610.23300000000000 67757 5799408637.7947500000000 6847.5 343909906644.71600000000000 68958 23865465.1229525000000 2907.5 34855058.58338500000000 29559 161513991.0062130000000 4137.5 747743391.50946700000000 41860 941368979.1398540000000 5407.5 14617016518.41160000000000 54561 22887600512.7874000000000 7937.5 3979505364945.01000000000000 79862 11968443.9454817000000 2487.5 12379452.09808850000000 25363 6868429117.6771600000000 6937.5 469815700797.95900000000000 69864 672829686.0428890000000 5127.5 8321228129.83069000000000 51765 4087416369.7351400000000 6507.5 189285174936.05100000000000 65566 244521094254.6930000000000 9907.5 291180158614974.00000000000000 99567 5138205.3819435900000 2017.5 3660131.14031203000000 20668 163831578.5865010000000 4087.5 787712903.86435600000000 41369 190588304584.9640000000000 9667.5 185806963385413.00000000000000 97170 1352441.6740296700000 1407.5 588151.21472020800000 14571 1437626.7709801800000 1427.5 640956.84564157200000 14772 59356366768.4053000000000 8647.5 22536138952748.70000000000000 86973 90911379.8566076000000 3657.5 306018078.62753800000000 37074 802569952.4947260000000 5187.5 11553314566.25340000000000 52375 6154347287.2016600000000 6757.5 397647070592.95200000000000 68076 262831454886.6010000000000 9887.5 337783881265550.00000000000000 99377 38709089.8573182000000 3087.5 79549811.53230880000000 31378 58535910857.9112000000000 8587.5 22225306266670.90000000000000 86379 3719838311.3425800000000 6327.5 165853321422.08500000000000 63780 29844995960.6618000000000 8007.5 6647767874378.38000000000000 80581 3626226294590.43000000000 12157.5 42501424796301400.000000000000 122082 14101103.5405036000000 2467.5 17183169.30818000000000 251

83 667816758.5588720000000 4987.5 8662485856.34490000000000 50384 2410624052301.0000000000000 11767.5 20049782789462300.00000000000000 118185 2847660912262.81000000000 11907.5 27323783037529200.000000000000 119586 3398347.4108725000000 1727.5 2223236.66777503000000 17787 555712162663.077000000000 10447.5 1352215856131840.000000000000 104988 313953089.8122160000000 4407.5 2466062793.32685000000000 44589 3649492300.0661400000000 6237.5 164287410894.29400000000000 62890 37021051590.5359000000000 8107.5 9976916604346.02000000000000 81591 2787593574433.8400000000 11837.5 26494203613019700.000000000000 118892 114298151.9147290000000 3687.5 473109160.34914100000000 37393 462518554089.8580000000000 10237.5 975595224916790.00000000000000 102894 19073625566.3282000000000 7527.5 3073758014628.23000000000000 75795 202768792678.6610000000000 9507.5 217463262838567.00000000000000 95596 50156426506363.20000000000 14407.5 5787462079456730000.00000000000 144597 35597444.4473085000000 2917.5 75277625.39522590000000 29698 2537157224.3248600000000 5887.5 89205105108.04590000000000 59399 2767985434.1332600000000 5947.5 104019083667.57600000000000 599

100 33640582235557.00000000000 14007.5 2754506896995870000.0000000000 1405101 7415330.1961205400000 2027.5 7223575.39953861000000 207102 4898213724054.0000000000000 12247.5 76410676011130400.00000000000 1229103 1017198259.5974600000000 5157.5 18747134078.11720000000000 520104 15643518560.0221000000000 7287.5 2206539447439.33000000000000 733105 210436128106.88600000000 9457.5 236706156186647.0000000000000 950106 27982645920504.80000000000 13787.5 1967249721351520000.0000000000 1383107 317736287.4512120000000 4287.5 2667497819.71914000000000 433108 3466998698243.7300000000000 11887.5 40638041215913500.00000000000000 1193109 92843060330.2897000000000 8727.5 54124190847791.40000000000000 877110 1309764254156.43000000000 11007.5 6765614758534704.00000000000000 1105111 660331640163455.0000000000 16657.5 750230578644329000000.000000000 1670112 84907652.6641456000000 3367.5 314236325.79875100000000 341113 89831147.4691702000000 3397.5 345166930.24637000000000 344114 9987955102.4913800000000 6847.5 1019345721171.18000000000000 689115 379754492480138.00000000000 16107.5 265378901767962000000.000000000 1615

116 15303722.6897498000000 2327.5 22421949.12849250000000 237117 41329897434531.4000000000 14047.5 4133957027848170000.0000000000 1409118 3151177551.1584700000000 5907.5 136600462082.27100000000000 595119 64270061873.7470000000000 8337.5 28425700773178.80000000000000 838120 1147833170330.2100000000000 10807.5 5390487906814077.00000000000000 1085121 269777479556293.00000000000 15737.5 140305825693727000000.000000000 1578122 846306946.8513100000000 4887.5 14461422689.72960000000000 493123 24996833077749.6000000000000 13537.5 1628408870614640000.00000000000 1358124 434942013971.1350000000000 9927.5 917532867529871.00000000000000 997125 8148972220663.7100000000000 12507.5 202775308717121000.000000000 1255126 8379365868673676.00000000000 18907.5 93745722148152800000000.000000000 1895127 9915204840777190.00000000000 19057.5 129200289407578000000000.00000000 1910128 205236365.0304580000000 3847.5 1387265959.11751000000000 389129 34788630451.2465000000000 7747.5 9649256179088.91000000000000 779130 4142463370073394.0000000000 18207.5 24708165585283500000000.00000000 1825131 30325906.3632140000000 2627.5 67279518.49309520000000 267132 337379089470597.00000000000 15847.5 216393825662016000000.0000000000 1589133 9441670449.0585700000000 6657.5 963743822109.00400000000000 670134 255704118608.0530000000000 9387.5 354731760344419.00000000000000 943135 6067030109507.9800000000000 12157.5 118971925116417000.00000000000000 1220136 2521680230278030.0000000000 17687.5 9702683941691090000000.0000000000 1773137 2183387978.5405400000000 5487.5 76074870028.12150000000000 553138 174913082471378.0000000000000 15187.5 63334116915678900000.000000000000 1523139 1978422468985.2900000000000 11127.5 15105177115975200.00000000000000 1117140 49253186010537.6000000000000 14007.5 5904530161469340000.000000000000 1405141 55480894814854.0000000000000 14107.5 7386150334828200000.000000000000 1415142 122078916621029000.000000000 21307.5 15665212990819500000000000.000000 2135143 455014848.4078820000000 4297.5 5425388662.94868000000000 434144 117902542736.8100000000000 8647.5 88906637174432.30000000000000 869145 43993378036524300.00000000000 20307.5 2239812651602440000000000.00000 2035146 58273619.2914661000000 2927.5 196653986.43441300000000 297147 2683482696995300.00000000000 17647.5 11037676070107200000000.000000000 1769148 27566158225.4787000000000 7407.5 6629065700841.61000000000000 745

149 992013895623.1440000000000 10437.5 4317246089635310.00000000000000 1048150 31282472168294.600000000000 13507.5 2561678314950430000.00000000000 1355

628108.5470203830000000000000000

CASO CUATRO

CALCULAR EL O LOS VALORES DE "X" : FÓRMULA :

DATOS A ESTUDIANTES

N° A B C D1 792700.229948476000 100 7500 202 4339765.864583390000 200 7450 403 3586780.973525160000 300 7400 604 9663495.355552040000 400 7350 805 2413371.785565310000 500 7300 1006 12468869.018939700000 600 7250 1207 9889242.693689870000 700 7200 1408 8098535.484007150000 800 7150 1609 4066805.209100110000 900 7100 18010 16637893.515888100000 1000 7050 20011 18497056.998802900000 1100 7000 22012 11423370.885203300000 1200 6950 24013 24776673.408953500000 1300 6900 26014 19348538.853916400000 1400 6850 28015 34455872.726941200000 1500 6800 30016 14747273.056069900000 1600 6750 32017 36566744.857906300000 1700 6700 34018 29931631.099214100000 1800 6650 36019 25802697.649697600000 1900 6600 38020 18087806.633293800000 2000 6550 40021 19752733.609187100000 2100 6500 420

1D

DCBA

X

1

X

1

22 42195483.313096100000 2200 6450 44023 30329705.998130700000 2300 6400 46024 50712660.380433400000 2400 6350 48025 41953273.843427000000 2500 6300 50026 63626131.567566400000 2600 6250 52027 34740089.068890400000 2700 6200 54028 65186794.305094600000 2800 6150 56029 55493140.897221900000 2900 6100 58030 49549635.271089000000 3000 6050 60031 51911231.958558300000 3100 6000 62032 41165381.266158700000 3200 5950 64033 70119484.625229200000 3300 5900 66034 54598545.575786600000 3400 5850 68035 80077553.156214100000 3500 5800 70036 68744254.265344100000 3600 5750 72037 95130081.402216000000 3700 5700 74038 59390667.081575700000 3800 5650 76039 96019486.492966000000 3900 5600 78040 83964608.254670100000 4000 5550 80041 86608638.740396000000 4100 5500 82042 79106402.727256700000 4200 5450 84043 66274238.703188200000 4300 5400 86044 99726792.432615500000 4400 5350 88045 81476875.436440600000 4500 5300 90046 110385325.539873000000 4600 5250 92047 97099309.804097000000 4700 5200 94048 126572466.641412000000 4800 5150 96049 85977577.066516900000 4900 5100 98050 126629062.079232000000 5000 5050 100051 129317796.099283000000 5100 5000 102052 115362838.284857000000 5200 4950 104053 106757689.453905000000 5300 4900 106054 92413642.166849600000 5400 4850 1080

55 128544984.728897000000 5500 4800 110056 108392382.405215000000 5600 4750 112057 139204539.397418000000 5700 4700 114058 124521275.971086000000 5800 4650 116059 155580844.304789000000 5900 4600 118060 111954987.493061000000 6000 4550 120061 114201658.947068000000 6100 4500 122062 156966932.327398000000 6200 4450 124063 141832271.676140000000 6300 4400 126064 132405311.562833000000 6400 4350 128065 117076487.928712000000 6500 4300 130066 154184052.546454000000 6600 4250 132067 132895490.652427000000 6700 4200 134068 164174436.952713000000 6800 4150 136069 148609781.198539000000 6900 4100 138070 179835514.148435000000 7000 4050 140071 181725973.849711000000 7100 4000 142072 136746640.045451000000 7200 3950 144073 179476617.627228000000 7300 3900 146074 163665399.704889000000 7400 3850 148075 153679014.009431000000 7500 3800 150076 137861785.360302000000 7600 3750 152077 174322538.186687000000 7700 3700 154078 152624724.529277000000 7800 3650 156079 182995444.126299000000 7900 3600 158080 167038432.577824000000 8000 3550 160081 168354323.345946000000 8100 3500 162082 198208406.076856000000 8200 3450 164083 153697382.937566000000 8300 3400 166084 194581007.035318000000 8400 3350 168085 178573183.723695000000 8500 3300 170086 168276678.855319000000 8600 3250 172087 152445668.084093000000 8700 3200 1740

88 186694736.054500000000 8800 3150 176089 165285381.327927000000 8900 3100 178090 193418931.806338000000 9000 3050 180091 193873574.650782000000 9100 3000 182092 178023452.741513000000 9200 2950 184093 205242690.513328000000 9300 2900 186094 162777040.512919000000 9400 2850 188095 200058913.268109000000 9500 2800 190096 184317122.068054000000 9600 2750 192097 173950086.324466000000 9700 2700 194098 158563586.552946000000 9800 2650 196099 189080881.252380000000 9900 2600 1980

100 168635547.830479000000 10000 2550 2000101 168402138.009028000000 10100 2500 2020102 192621509.760788000000 10200 2450 2040103 177343734.436133000000 10300 2400 2060104 200645054.521842000000 10400 2350 2080105 161758381.708515000000 10500 2300 2100106 193727165.601474000000 10600 2250 2120107 178700528.733646000000 10700 2200 2140108 168495001.372858000000 10800 2150 2160109 153998502.748783000000 10900 2100 2180110 179299755.113406000000 11000 2050 2200111 177732743.655483000000 11100 2000 2220112 159088970.489331000000 11200 1950 2240113 178400499.831483000000 11300 1900 2260114 164136690.848346000000 11400 1850 2280115 182264208.885676000000 11500 1800 2300116 148454959.495184000000 11600 1750 2320117 173435300.568946000000 11700 1700 2340118 159562031.647568000000 11800 1650 2360119 149743986.823446000000 11900 1600 2380120 136572607.499701000000 12000 1550 2400

121 134276352.566457000000 12100 1500 2420122 152229098.229313000000 12200 1450 2440123 135908791.486498000000 12300 1400 2460124 149074517.564619000000 12400 1350 2480125 136256683.191324000000 12500 1300 2500126 147977243.447539000000 12600 1250 2520127 120714671.533122000000 12700 1200 2540128 137061327.520798000000 12800 1150 2560129 124770603.656248000000 12900 1100 2580130 115561012.465924000000 13000 1050 2600131 111615170.677275000000 13100 1000 2620132 100375534.039917000000 13200 950 2640133 110098632.535796000000 13300 900 2660134 96732333.014646600000 13400 850 2680135 102534385.643615000000 13500 800 2700136 91586460.504216000000 13600 750 2720137 95686284.825831200000 13700 700 2740138 76414898.295580400000 13800 650 2760139 82508320.580729200000 13900 600 2780140 72221676.266819400000 14000 550 2800141 66491865.739612100000 14100 500 2820142 58193122.516648900000 14200 450 2840143 49162071.541084000000 14300 400 2860144 49248689.560898300000 14400 350 2880145 39456795.571073000000 14500 300 2900146 36694643.110587800000 14600 250 2920147 28033655.768165200000 14700 200 2940148 23315753.504161800000 14800 150 2960149 13458726.576072600000 14900 100 2980150 7701641.740101010000 15000 50 3000

CASO CINCO

CALCULAR EL O LOS VALORES DE X :

ECUACIÓN :DATOS A ESTUDIANTES :

N° A B C1 328906 326614 22 314212 285716 263 421892 395033 214 307558 260654 445 526430 469950 406 296600 234800 607 798552 621837 1058 185378 165266 249 688178 601454 5410 385300 231020 14011 917004 737121 9912 155726 120110 4813 1231302 909318 15614 157352 106672 7015 801980 749120 3016 397946 178714 20817 1235670 985175 11918 323588 137468 19819 1477744 1131184 15220 281830 109430 20021 2495450 1599275 31522 48752 23936 6623 1596708 1266888 138

CXBXA

24 516914 146642 33625 2177550 1563975 22526 45364 11876 10427 2929880 1925480 32428 59086 10646 14029 1482422 1344498 5830 491480 96800 39031 2476336 1840309 21732 340010 53482 35233 2909258 2078186 26434 267452 31492 34035 5133540 3029865 52536 326 9614 -8637 2881950 2177322 22238 667736 81472 53239 3974744 2698157 35140 1250 16930 -9841 5353266 3318354 49242 8252 14972 -3243 2370232 2112748 8644 594814 39974 57245 4143890 2960435 31546 356824 8696 50647 4820972 3310956 37648 253466 986 48049 8712822 4913607 73550 40100 122300 -15051 4543904 3332756 30652 837766 35510 72853 6308586 4139667 47754 23384 135272 -21655 8501460 5087940 66056 4850 119650 -280

57 3465410 3053870 11458 707948 8236 75459 6238332 4345553 41360 374030 3110 56261 7212886 4829494 48862 239872 17912 35863 13233296 7250501 94564 168074 361994 -19265 6,582,570 4,733,190 39066 1027004 8756 92467 9179076 5888505 60368 111766 366902 -27269 12374462 7234238 82870 48880 324680 -35071 4767956 4167864 14272 830882 1586 88673 8759662 5995663 51174 391628 36724 43675 10085000 6633800 60076 226670 82270 19077 18694962 10040547 115578 384248 728696 -23479 8997948 6378624 47480 1235450 1210 110281 12586214 7944671 72982 266396 711820 -32883 16972272 9757248 99684 140342 630062 -42085 6277870 5454730 17086 963616 20024 84487 11707880 7910765 60988 409618 109538 31089 13437314 8723874 712

90 213860 194060 2291 25097820 13283745 136592 688622 1222406 -27693 11790038 8269058 55894 1463104 12872 110295 16530000 10308165 85596 487274 1170026 -38497 22294890 12656970 116498 279236 1035796 -49099 7995152 6914468 198

100 1106150 63550 802101 15082986 10090859 707102 428000 221552 184103 17269828 11099716 824104 201442 353282 -146105 32441870 16980095 1575106 1081196 1843124 -318107 14958840 10404492 642108 1709966 43742 1102109 21010434 12978987 981110 774400 1741520 -440111 28342316 15933404 1332112 465562 1541882 -560113 9919802 8547078 226114 1258484 132164 760115 18884980 12535945 805116 446774 372766 58117 21582542 13761326 936118 189416 559936 -314119 40727112 21129597 1785120 1561970 2590850 -360121 18504354 12784926 726122 1976036 93820 1102

123 26027516 15957137 1107124 1127774 2426302 -496125 35114550 19586550 1500126 699320 2148320 -630127 12051820 10352560 254128 1420618 225866 718129 23113862 15246023 903130 465940 563180 -68131 26375456 16708704 1048132 177782 814022 -482133 49953546 25732251 1995134 2130944 3465584 -402135 22426580 15410360 810136 2261314 163106 1102137 31581246 19242615 1233138 1547396 3224372 -552139 42611592 23616408 1668140 980510 2855110 -700141 14391206 12330914 282142 1592552 344656 676143 27769632 18221093 1001144 485498 792794 -194145 31648570 19941850 1160146 166540 1115540 -650147 60121172 30788057 2205148 2788118 4467326 -444149 26725518 18280794 894150 2565800 251600 1102

1359-6081836-770

CASO SEIS

CALCULAR EL O LOS VALORES DE X :

ECUACIÓN :

DATOS A ESTUDIANTES :N° A B C D E F G1 26 50336 6 1176 4836 44 142 23 28175 3 363 1725 35 113 28 54208 8 800 7840 44 104 21 24276 1 196 441 34 145 30 60750 10 490 11700 45 76 19 28899 1 529 323 39 237 32 51200 12 432 13440 40 68 17 17408 3 768 867 32 169 34 95506 14 686 22372 53 710 15 14415 5 2205 825 31 2111 36 72900 16 1296 21312 45 912 13 11700 7 4732 455 30 2613 38 87552 18 1800 26676 48 1014 11 19404 9 2916 2475 42 1815 40 134560 20 320 44000 58 416 9 13689 11 6875 1485 39 2517 42 141288 22 1408 47124 58 818 7 11200 13 10192 1183 40 2819 44 153164 24 2904 51744 59 1120 5 6125 15 20535 -75 35 3721 46 134136 26 10400 41860 54 20

)GX()FX(E)DXC()BXA( 22

22 3 6348 17 15300 867 46 3023 48 215472 28 3388 76608 67 1124 1 2025 19 23275 209 45 3525 50 174050 30 15870 55500 59 2326 1 1936 21 33600 105 44 4027 52 199888 32 18432 64896 62 2428 3 9408 23 23552 1725 56 3229 54 279936 34 11016 100980 72 1830 5 14045 25 38025 1875 53 3931 56 290304 36 17424 102816 72 2232 7 20412 27 47628 2457 54 4233 58 309082 38 23750 107996 73 2534 9 23409 29 69629 783 51 4935 60 277440 40 46240 84000 68 3436 11 39600 31 60016 5797 60 4437 62 406782 42 26250 148428 81 2538 13 45253 33 79233 4719 59 4939 64 341056 44 60236 104192 73 3740 15 50460 35 102060 2625 58 5441 66 381216 46 66424 118404 76 3842 17 83300 37 78292 15725 70 4643 68 502928 48 49152 179520 86 3244 19 85291 39 109551 11115 67 5345 70 517720 50 64800 178500 86 3646 21 97104 41 128576 11193 68 5647 72 544968 52 79092 183456 87 3948 23 100188 43 165292 4945 66 6249 74 497576 54 124416 139860 82 4850 25 136900 45 151380 19125 74 5851 76 685900 56 85176 242592 95 3952 27 143883 47 186543 13959 73 6353 78 590382 58 150858 167388 87 5154 29 150336 49 226576 7105 72 68

55 80 648000 60 162240 187200 90 5256 31 218736 51 183600 39525 84 6057 82 820000 62 131192 279620 100 4658 33 216513 53 237917 26235 81 6759 84 840000 64 160000 274176 100 5060 35 235340 55 269500 25025 82 7061 86 877286 66 185394 278124 101 5362 37 242757 57 320625 14763 81 7563 88 811008 68 261392 209440 96 6264 39 302016 59 305856 39117 88 7265 90 1069290 70 196630 359100 109 5366 41 310329 61 361669 27511 87 7767 92 938492 72 304200 245088 101 6568 43 318028 63 423612 13545 86 8269 94 1016704 74 322344 271284 104 6670 45 432180 65 355940 73125 98 7471 96 1247616 76 273600 401280 114 6072 47 424175 67 439587 47235 95 8173 98 1273608 78 319488 389844 114 6474 49 451584 69 486864 43953 96 8475 100 1322500 80 359120 392000 115 6776 51 441099 71 587951 10863 93 9177 102 1234200 82 473632 292740 110 7678 53 551412 73 539908 65773 102 8679 104 1573416 84 377076 497952 123 6780 55 561055 75 621075 45375 101 9181 106 1401850 86 536726 337292 115 7982 57 570000 77 709632 21945 100 9683 108 1503792 88 563200 370656 118 8084 59 740096 79 611776 116525 112 8885 110 1802240 90 492840 544500 128 7486 61 724741 81 731025 74115 109 9587 112 1835008 92 559728 525504 128 78

88 63 762300 83 797132 67977 110 9889 114 1897074 94 616734 525084 129 8190 65 772265 85 901765 38675 109 10391 116 1783616 96 777600 389760 124 9092 67 901552 87 870000 99093 116 10093 118 2214742 98 642978 659148 137 8194 69 912525 89 981225 67551 115 10595 120 1996920 100 864900 444000 129 9396 71 922716 91 1101100 32305 114 11097 122 2125728 102 901272 485316 132 9498 73 1158948 93 967572 169725 126 10299 124 2500336 104 805376 709280 142 88

100 75 1134675 95 1128695 106875 123 109101 126 2540664 106 897184 681156 142 92102 77 1183952 97 1216768 97097 124 112103 128 2617472 108 974700 677376 143 95104 79 1156639 99 1401939 23463 121 119105 130 2475720 110 1189760 500500 138 104106 81 1368900 101 1312596 139077 130 114107 132 3009732 112 1010800 842688 151 95108 83 1381203 103 1458583 94039 129 119109 134 2740166 114 1305186 565212 143 107110 85 1392640 105 1614480 44625 128 124111 136 2898976 116 1353024 615264 146 108112 87 1705200 107 1439792 232725 140 116113 138 3358368 118 1227672 895620 156 102114 89 1670441 109 1649061 145515 137 123115 140 3407040 120 1348320 856800 156 106116 91 1733004 111 1762236 131313 138 126117 142 3500158 122 1449482 848876 157 109118 93 1745517 113 1939193 73563 137 131119 144 3326976 124 1726576 624960 152 118120 95 1969920 115 1884160 185725 144 128

121 146 3974850 126 1497006 1048572 165 109122 97 1983553 117 2069613 124839 143 133123 148 3648052 128 1874048 700928 157 121124 99 1996236 119 2266236 58905 142 138125 150 3840000 130 1934920 760500 160 122126 101 2395316 121 2044900 305525 154 130127 152 4392800 132 1776192 1103520 170 116128 103 2348503 123 2308587 190035 151 137129 154 4450600 134 1929600 1052436 170 120130 105 2425920 125 2450000 170625 152 140131 156 4561596 136 2057544 1039584 171 123132 107 2375507 127 2744343 40767 149 147133 158 4353848 138 2404512 763140 166 132134 109 2721076 129 2601156 239037 158 142135 160 5126560 140 2118060 1276800 179 123136 111 2736039 131 2830779 159951 157 147137 162 4737042 142 2587950 851148 171 135138 113 2749968 133 3072832 75145 156 152139 164 4965264 144 2663424 921024 174 136140 115 3245760 135 2799360 388125 168 144141 166 5620096 146 2467400 1332980 184 130142 117 3185325 137 3123737 240435 165 151143 168 5687808 148 2657488 1268064 184 134144 119 3279164 139 3296524 215033 166 154145 170 5818250 150 2815350 1249500 185 137146 121 3214849 141 3654861 51183 163 161147 172 5572800 152 3240032 915040 180 146148 123 3638832 143 3480048 299013 172 156149 174 6481326 154 2890426 1527372 193 137150 125 3655125 145 3758545 199375 171 161

CASO SIETE

x1 =x2 =

DETERMINAR EL O LOS VALORES DE X :

ECUACIÓN :

DATOS :N° A B C D1 25 50 100 124299.96478873200000002 25 50 100 139174.96855345900000003 25 50 100 116424.96240601500000004 25 50 100 131299.96666666700000005 25 50 100 122549.96428571400000006 25 50 100 139174.96855345900000007 25 50 100 118174.96296296300000008 25 50 100 128674.96598639500000009 25 50 100 113799.961538462000000010 25 50 100 127799.965753425000000011 25 50 100 120799.963768116000000012 25 50 100 133049.967105263000000013 25 50 100 114674.961832061000000014 25 50 100 129549.966216216000000015 25 50 100 112049.960937500000000016 25 50 100 126924.965517241000000017 25 50 100 104174.957983193000000018 25 50 100 119049.963235294000000019 25 50 100 110299.960317460000000020 25 50 100 126924.965517241000000021 25 50 100 105924.958677686000000022 25 50 100 116424.9624060150000000

1X

D

1X

C

1X

B

X

A2

23 25 50 100 101549.956896552000000024 25 50 100 115549.962121212000000025 25 50 100 108549.959677419000000026 25 50 100 120799.963768116000000027 25 50 100 102424.957264957000000028 25 50 100 117299.962686567000000029 25 50 100 99799.956140350900000030 25 50 100 114674.961832061000000031 25 50 100 93674.953271028100000032 25 50 100 106799.959016393000000033 25 50 100 98049.955357142900000034 25 50 100 114674.961832061000000035 25 50 100 93674.953271028100000036 25 50 100 104174.957983193000000037 25 50 100 89299.950980392200000038 25 50 100 103299.957627119000000039 25 50 100 96299.954545454500000040 25 50 100 108549.959677419000000041 25 50 100 90174.951456310700000042 25 50 100 105049.958333333000000043 25 50 100 87549.950000000000000044 25 50 100 102424.957264957000000045 25 50 100 82299.946808510600000046 25 50 100 94549.953703703700000047 25 50 100 85799.948979591800000048 25 50 100 102424.957264957000000049 25 50 100 81424.946236559200000050 25 50 100 91924.952380952400000051 25 50 100 77049.943181818200000052 25 50 100 91049.951923076900000053 25 50 100 84049.947916666700000054 25 50 100 96299.954545454500000055 25 50 100 77924.9438202247000000

56 25 50 100 92799.952830188700000057 25 50 100 75299.941860465100000058 25 50 100 90174.951456310700000059 25 50 100 70924.938271604900000060 25 50 100 82299.946808510600000061 25 50 100 73549.940476190500000062 25 50 100 90174.951456310700000063 25 50 100 69174.936708860800000064 25 50 100 79674.945054945100000065 25 50 100 64799.932432432400000066 25 50 100 78799.944444444500000067 25 50 100 71799.939024390300000068 25 50 100 84049.947916666700000069 25 50 100 65674.933333333300000070 25 50 100 80549.945652173900000071 25 50 100 63049.930555555600000072 25 50 100 77924.943820224700000073 25 50 100 56924.923076923100000074 25 50 100 70049.937500000000000075 25 50 100 61299.928571428600000076 25 50 100 77924.943820224700000077 25 50 100 56924.923076923100000078 25 50 100 67424.935064935100000079 25 50 100 52549.916666666700000080 25 50 100 66549.934210526300000081 25 50 100 59549.926470588200000082 25 50 100 71799.939024390300000083 25 50 100 53424.918032786900000084 25 50 100 68299.935897435900000085 25 50 100 50799.913793103500000086 25 50 100 65674.933333333300000087 25 50 100 46424.905660377400000088 25 50 100 57799.9242424242000000

89 25 50 100 49049.910714285700000090 25 50 100 65674.933333333300000091 25 50 100 44674.901960784300000092 25 50 100 55174.920634920600000093 25 50 100 40299.891304347800000094 25 50 100 54299.919354838700000095 25 50 100 47299.907407407400000096 25 50 100 59549.926470588200000097 25 50 100 41174.893617021300000098 25 50 100 56049.921875000000000099 25 50 100 38549.8863636364000000

100 25 50 100 53424.9180327869000000101 25 50 100 32424.8648648649000000102 25 50 100 45549.9038461539000000103 25 50 100 36799.8809523810000000104 25 50 100 53424.9180327869000000105 25 50 100 32424.8648648649000000106 25 50 100 42924.8979591837000000107 25 50 100 28049.8437500000000000108 25 50 100 42049.8958333333000000109 25 50 100 35049.8750000000000000110 25 50 100 47299.9074074074000000111 25 50 100 28924.8484848485000000112 25 50 100 43799.9000000000000000113 25 50 100 26299.8333333333000000114 25 50 100 41174.8936170213000000115 25 50 100 21924.8000000000000000116 25 50 100 33299.8684210526000000117 25 50 100 24549.8214285714000000118 25 50 100 41174.8936170213000000119 25 50 100 20174.7826086957000000120 25 50 100 30674.8571428571000000121 25 50 100 15799.7222222222000000

122 25 50 100 29799.8529411765000000123 25 50 100 22799.8076923077000000124 25 50 100 35049.8750000000000000125 25 50 100 16674.7368421053000000126 25 50 100 31549.8611111111000000127 25 50 100 14049.6875000000000000128 25 50 100 28924.8484848485000000129 25 50 100 7924.4444444444400000130 25 50 100 21049.7916666667000000131 25 50 100 12299.6428571429000000132 25 50 100 28924.8484848485000000133 25 50 100 7924.4444444444400000134 25 50 100 18424.7619047619000000135 25 50 100 3548.7500000000000000136 25 50 100 17549.7500000000000000137 25 50 100 10549.5833333333000000138 25 50 100 22799.8076923077000000139 25 50 100 4424.0000000000000000140 25 50 100 19299.7727272727000000141 25 50 100 1797.5000000000000000142 25 50 100 16674.7368421053000000143 25 50 100 5299.1666666666700000144 25 50 100 8799.5000000000000000145 25 50 100 2673.3333333333300000146 25 50 100 16674.7368421053000000147 25 50 100 920.0000000000000000148 25 50 100 6174.2857142857100000149 25 50 100 2673.3333333333300000150 25 50 100 5299.1666666666700000

a b c175 64799.9324 -100

60.00154320505418582

-370.286871390382

16200.050623337149.9229586379101-100.15455902168216149.8190229534-64800.0867526622

CASO OCHO

HALLAR EL O LOS VALORES DE X :

ECUACIÓN :

DATOS PARA ESTUDIANTES :N° A B C1 2 -720008 2880000.00002 1 -348101 348100.00003 7 -2639315 129309628.00004 5 -1693745 42340500.00005 11 -4257055 514942604.00006 9 -2966013 240188004.00007 15 -5956875 1339537500.00008 13 -4166825 703822132.00009 19 -7740695 2791914796.000010 17 -5298101 1529731332.000011 23 -9610435 5077483772.000012 21 -6361761 2801452500.000013 27 -11568015 8418734028.000014 25 -7359725 4590062500.000015 31 -13615355 13055727004.000016 29 -8293913 6954669684.000017 35 -15754375 19246587500.000018 33 -9166245 9942905412.000019 39 -17986995 27267995196.000020 37 -9978641 13591415572.000021 43 -20315135 37415676172.0000

0XCXBXA 35

22 41 -10733021 17926352100.000023 47 -22740715 50004894428.000024 45 -11431305 22963864500.000025 51 -25265655 65370943404.000026 49 -12075413 28710591364.000027 55 -27891875 83869637500.000028 53 -12667265 35164151892.000029 59 -30621295 105877803596.000030 57 -13208781 42313637412.000031 63 -33455835 131793772572.000032 61 -13701881 50140102900.000033 67 -36397415 162037870828.000034 65 -14148485 58617058500.000035 71 -39447955 197052911804.000036 69 -14550513 67710961044.000037 75 -42609375 237304687500.000038 73 -14909885 77381705572.000039 79 -45883595 283282459996.000040 77 -15228521 87583116852.000041 83 -49272535 335499452972.000042 81 -15508341 98263440900.000043 87 -52778115 394493343228.000044 85 -15751265 109365836500.000045 91 -56402255 460826752204.000046 89 -15959213 120828866724.000047 95 -60146875 535087737500.000048 93 -16134105 132586990452.000049 99 -64013895 617890284396.000050 97 -16277861 144571053892.000051 103 -68005235 709874797372.000052 101 -16392401 156708782100.000053 107 -72122815 811708591628.000054 105 -16479645 168925270500.0000

55 111 -76368555 924086384604.000056 109 -16541513 181143476404.000057 115 -80744375 1047730787500.000058 113 -16579925 193284710532.000059 119 -85252195 1183392796796.000060 117 -16596801 205269128532.000061 123 -89893935 1331852285772.000062 121 -16594061 217016222500.000063 127 -94671515 1493918496028.000064 125 -16573625 228445312500.000065 131 -99586855 1670430529004.000066 129 -16537413 239476038084.000067 135 -104641875 1862257837500.000068 133 -16487345 250028849812.000069 139 -109838495 2070300717196.000070 137 -16425341 260025500772.000071 143 -115178635 2295490798172.000072 141 -16353321 269389538100.000073 147 -120664215 2538791536428.000074 145 -16273205 278046794500.000075 151 -126297155 2801198705404.000076 149 -16186913 285925879764.000077 155 -132079375 3083740887500.000078 153 -16096365 292958672292.000079 159 -138012795 3387479965596.000080 157 -16003481 299080810612.000081 163 -144099335 3713511614572.000082 161 -15910181 304232184900.000083 167 -150340915 4062965792828.000084 165 -15818385 308357428500.000085 171 -156739455 4437007233804.000086 169 -15730013 311406409444.000087 175 -163296875 4836835937500.0000

88 173 -15646985 313334721972.000089 179 -170015095 5263687661996.000090 177 -15571221 314104178052.000091 183 -176896035 5718834414972.000092 181 -15504641 313683298900.000093 187 -183941615 6203584945228.000094 185 -15449165 312047806500.000095 191 -191153755 6719285234204.000096 189 -15406713 309181115124.000097 195 -198534375 7267318987500.000098 193 -15379205 305074822852.000099 199 -206085395 7849108126396.0000

100 197 -15368561 299729203092.0000101 203 -213808735 8466113279372.0000102 201 -15376701 293153696100.0000103 207 -221706315 9119834273628.0000104 205 -15405545 285367400500.0000105 211 -229780055 9811810626604.0000106 209 -15457013 276399564804.0000107 215 -238031875 10543622037500.0000108 213 -15533025 266290078932.0000109 219 -246463695 11316888878796.0000110 217 -15635501 255089965732.0000111 223 -255077435 12133272687772.0000112 221 -15766361 242861872500.0000113 227 -263875015 12994476658028.0000114 225 -15927525 229680562500.0000115 231 -272858355 13902246131004.0000116 229 -16120913 215633406484.0000117 235 -282029375 14858369087500.0000118 233 -16348445 200820874212.0000119 239 -291389995 15864676639196.0000120 237 -16612041 185357025972.0000

121 243 -300942135 16923043520172.0000122 241 -16913621 169370004100.0000123 247 -310687715 18035388578428.0000124 245 -17255105 153002524500.0000125 251 -320628655 19203675267404.0000126 249 -17638413 136412368164.0000127 255 -330766875 20429912137500.0000128 253 -18065465 119772872692.0000129 259 -341104295 21716153327596.0000130 257 -18538181 103273423812.0000131 263 -351642835 23064499056572.0000132 261 -19058481 87119946900.0000133 267 -362384415 24477096114828.0000134 265 -19628285 71535398500.0000135 271 -373330955 25956138355804.0000136 269 -20249513 56760257844.0000137 275 -384484375 27503867187500.0000138 273 -20924085 43053018372.0000139 279 -395846595 29122572063996.0000140 277 -21653921 30690679252.0000141 283 -407419535 30814590976972.0000142 281 -22440941 19969236900.0000143 287 -419205115 32582310947228.0000144 285 -23287065 11204176500.0000145 291 -431205255 34428168516204.0000146 289 -24194213 4730963524.0000147 295 -443421875 36354650237500.0000148 293 -25164305 905535252.0000149 299 -455856895 38364293168396.0000150 297 -26199261 104792292.0000

CASO NUEVE

CALCULAR EL O LOS VALORES DE "X" Y DE "Y"

ECUACIONES :

DATOS A ESTUDIANTES :

N° A B C D E F1 105 40 9810815040.00 66 79 19252501632.002 34 14 537088.00 22 26 902656.003 91 36 1595480832.00 58 69 3025549824.004 68 28 61227008.00 44 52 110673920.005 85 35 287650000.00 55 65 524950000.006 126 51 8113332600.00 81 96 15169688100.007 31 16 1930176.00 22 25 2878848.008 56 26 3165696.00 38 44 5063040.009 121 51 1140896400.00 79 93 2055471600.0010 26 16 4433920.00 20 22 5951488.0011 107 47 5752512.00 71 83 9547200.0012 52 27 76381200.00 37 42 116879700.0013 69 34 165597264.00 48 55 263837952.0014 86 41 245381400.00 59 68 400877100.0015 87 42 432396144.00 60 69 701659584.0016 120 55 215373600.00 81 94 361298340.0017 49 29 265738304.00 37 41 372557120.0018 106 51 1512748776.00 73 84 2469902820.00

)2(

32

)1(

32

FYEXD

CYBXA

19 83 43 1898550016.00 59 67 2938600192.0020 100 50 3236000000.00 70 80 5145200000.0021 141 66 3120411600.00 96 111 5206809600.0022 46 31 372803256.00 37 40 478421748.0023 71 41 2811202416.00 53 59 4026972240.0024 136 66 11686617600.00 94 108 19032854400.0025 41 31 196237840.00 35 37 233157808.0026 122 62 18938755584.00 86 98 29826897408.0027 67 42 3606913200.00 52 57 4878139200.0028 84 49 10026921744.00 63 70 14279832252.0029 85 50 11759815760.00 64 71 16650529280.0030 102 57 24759796824.00 75 84 36391268844.0031 135 70 57667924080.00 96 109 89572055040.0032 64 44 3985178624.00 52 56 5058744320.0033 121 66 60119694096.00 88 99 89982414720.0034 98 58 33556596736.00 74 82 47341545472.0035 115 65 65258750000.00 85 95 95191250000.0036 156 81 162587703600.00 111 126 252443879100.0037 61 46 3147043536.00 52 55 3754928448.0038 86 56 25481281536.00 68 74 33611120640.0039 151 81 222929910000.00 109 123 337992690000.0040 56 46 1303989760.00 50 52 1471308928.0041 137 77 208283863104.00 101 113 305227130688.0042 82 57 23198800200.00 67 72 29258678700.0043 83 58 25568474800.00 68 73 32133620800.0044 100 65 72517244240.00 79 86 95817158780.0045 117 72 157170487104.00 90 99 215841573504.0046 150 85 430501345560.00 111 124 627311110140.0047 79 59 19298116544.00 67 71 23193264320.0048 136 81 350311854816.00 103 114 492504293820.0049 113 73 165301094656.00 89 97 219409821952.0050 130 80 328428800000.00 100 110 451136000000.0051 171 96 969253905600.00 126 141 1422277833600.00

52 76 61 12460268016.00 67 70 14282943948.0053 101 71 102191839056.00 83 89 127974792240.0054 166 96 1080858777600.00 124 138 1552440422400.0055 71 61 4678445680.00 65 67 5133368848.0056 152 92 868227047424.00 116 128 1207009824768.0057 153 93 938831860800.00 117 129 1301251003200.0058 98 73 87191921800.00 83 88 105019240300.0059 115 80 247478678720.00 94 101 312197674880.0060 132 87 539441115984.00 105 114 706338390564.0061 165 100 1557324887040.00 126 139 2163232880640.0062 94 74 59321368064.00 82 86 68888261120.0063 151 96 1151623551936.00 118 129 1546494069120.0064 128 88 507328331776.00 104 112 645264965632.0065 145 95 1013139050000.00 115 125 1332252350000.0066 186 111 3184359042600.00 141 156 4472778698100.0067 91 76 34547613696.00 82 85 38612533248.0068 116 86 283917470976.00 98 104 343131431040.0069 181 111 3247073768400.00 139 153 4473338007600.0070 86 76 12292441600.00 80 82 13254381568.0071 87 77 13010784624.00 81 83 14015850768.0072 168 108 2583025459200.00 132 144 3442317004800.0073 113 88 221830388800.00 98 103 259499804800.0074 130 95 628252608200.00 109 116 766735654580.0075 147 102 1370035372464.00 120 129 1731854577024.0076 180 115 4047586517520.00 141 154 5417830503540.0077 109 89 142148389184.00 97 101 161232518720.0078 166 111 2847087666456.00 133 144 3691908829620.0079 143 103 1209647716096.00 119 127 1490841632512.0080 160 110 2417542400000.00 130 140 3075573200000.0081 201 126 7831583139600.00 156 171 10624456497600.0082 106 91 77743737576.00 97 100 85393281348.0083 131 101 638428933296.00 113 119 751890641040.0084 196 126 7596548870400.00 154 168 10125020841600.00

85 197 127 7989579219664.00 155 169 10627991032624.0086 102 92 28022367744.00 96 98 29837058048.0087 183 123 5744024280000.00 147 159 7422590520000.0088 128 103 471946100800.00 113 118 540467539300.0089 145 110 1333119201680.00 124 131 1587046354880.0090 162 117 2904103985544.00 135 144 3573050029884.0091 195 130 8681572926000.00 156 169 11282435835840.0092 124 104 290849275904.00 112 116 324291461120.0093 181 126 5923235639376.00 148 159 7472204224320.0094 158 118 2462081775616.00 134 142 2961887598592.0095 175 125 4917551750000.00 145 155 6095891450000.0096 216 141 16197046221600.00 171 186 21360261257100.0097 121 106 152482816656.00 112 115 165374293248.0098 146 116 1250293142016.00 128 134 1443858186240.0099 147 117 1302621184944.00 129 135 1502569182096.00

100 212 142 15872692159744.00 170 184 20561967981184.00101 117 107 53321987664.00 111 113 56294278128.00102 198 138 11134090483200.00 162 174 14034955276800.00103 143 118 889721282800.00 128 133 1002534668800.00104 160 125 2507030308160.00 139 146 2927416712780.00105 177 132 5453484724224.00 150 159 6567271686144.00106 210 145 16410409521480.00 171 184 20819219454540.00107 139 119 533470764224.00 127 131 587107152320.00108 196 141 10970097471696.00 163 174 13534334462220.00109 173 133 4494266158336.00 149 157 5303963759872.00110 190 140 8966840000000.00 160 170 10885760000000.00111 231 156 29829308313600.00 186 201 38425583001600.00112 136 121 271298547936.00 127 130 291404193948.00113 137 122 281133190800.00 128 131 301797619200.00114 162 132 2301131026944.00 144 150 2614315585536.00115 227 157 28423501509424.00 185 199 36019846720144.00116 132 122 92790192384.00 126 128 97330267008.00117 213 153 19599855508800.00 177 189 24206664283200.00

118 158 133 1537058159800.00 143 148 1710033418300.00119 175 140 4321609456640.00 154 161 4968805345280.00120 192 147 9386702397504.00 165 174 11108553522804.00121 225 160 28356060432960.00 186 199 35261190656640.00122 154 134 903036230144.00 142 146 983698296320.00123 211 156 18681201724416.00 178 189 22628752312320.00124 188 148 7575649632256.00 164 172 8802444132352.00125 205 155 15096840050000.00 175 185 18015491750000.00126 246 171 50539369440600.00 201 216 63828251756100.00127 247 172 52220981836800.00 202 217 65872309708800.00128 152 137 463144500000.00 143 146 493473937500.00129 177 147 3784990406544.00 159 165 4247680734576.00130 242 172 47171326472704.00 200 214 58680307861504.00131 147 137 150929609904.00 141 143 157509860688.00132 228 168 32122320076800.00 192 204 38999339827200.00133 173 148 2485578956800.00 158 163 2737016012800.00134 190 155 6975151856120.00 169 176 7918842549380.00135 207 162 15128968854384.00 180 189 17647616556864.00136 240 175 45811328509440.00 201 214 56012197459140.00137 169 149 1437545689664.00 157 161 1553060237120.00138 226 171 29853575518536.00 193 204 35609409103620.00139 203 163 12015494085376.00 179 187 13782515852032.00140 220 170 23916744800000.00 190 200 28133159600000.00141 221 171 24616761195600.00 191 201 28931242527600.00142 262 187 82772515099800.00 217 232 102676918839300.00143 167 152 721788580800.00 158 161 764406115200.00144 192 162 5890274463744.00 174 180 6543778617216.00145 257 187 73858859693584.00 215 229 90435405457264.00146 162 152 232864948224.00 156 158 242019975168.00147 243 183 49816854187200.00 207 219 59608973476800.00148 188 163 3816625898800.00 173 178 4167254677300.00149 205 170 10692624395600.00 184 191 12011830302080.00150 222 177 23162182983864.00 195 204 26691868845324.00

CASO DIEZ

CALCULAR EL O LOS VALORES DE "X" Y DE "Y"

ECUACIONES :

DATOS A ESTUDIANTES :

N° A B C D E F1 350 50 24020739451891500.00 150 250 10295093475644500.002 351 51 62596389.00 151 251 28805389.003 352 52 298252569845793.00 152 252 128821691502792.004 353 53 410389446907.00 153 253 178356583907.005 354 54 33328497244086.10 154 254 14506572365086.006 355 55 1973468390912820000.00 155 255 861663149549390000.007 356 56 7121836.00 156 256 3594836.008 357 57 5130030903.00 157 257 2286463903.009 358 58 221127574085861000.00 158 258 97594612815988900.0010 359 59 815341.00 159 259 480341.0011 360 60 2745247306850051.00 160 260 1220235184035040.0012 361 61 577549451.00 161 261 265238451.0013 362 62 46781244862.00 162 262 21058069862.0014 363 63 3797636694993.00 163 263 1707243775993.0015 364 64 3808105436804.00 164 264 1717712517804.0016 365 65 25050227324619500.00 165 265 11324581348372400.0017 366 66 65376474.00 166 266 31585474.0018 367 67 310963912253358.00 167 267 141533033910357.0019 368 68 427854826192.00 168 268 195821963192.0020 369 69 34741148242971.10 169 269 15919223363971.0021 370 70 2056854814807230000.00 170 270 945049573443799000.00

)2(

YX

)1(

YX

F)4(E)9(D

C)4(B)9(A

22 371 71 7447801.00 171 271 3920801.0023 372 72 5347230588.00 172 272 2503663588.0024 373 73 230392803879139000.00 173 273 106859842609267000.0025 374 74 855826.00 174 274 520826.0026 375 75 2859639322188540.00 175 275 1334627199373530.0027 376 76 601955816.00 176 276 289644816.0028 377 77 48726211627.00 177 277 23003036627.0029 378 78 48855876078.00 178 278 23132701078.0030 379 79 3965136563969.00 179 279 1874743644969.0031 380 80 26079715197347500.00 180 280 12354069221100400.0032 381 81 68156559.00 181 281 34365559.0033 382 82 323675254660923.00 182 282 154244376317922.0034 383 83 445320205477.00 183 283 213287342477.0035 384 84 36153799241856.10 184 284 17331874362856.0036 385 85 2140241238701640000.00 185 285 1028435997338210000.0037 386 86 7773766.00 186 286 4246766.0038 387 87 5564430273.00 187 287 2720863273.0039 388 88 239658033672417000.00 188 288 116125072402545000.0040 389 89 896311.00 189 289 561311.0041 390 90 2974031337527022.00 190 290 1449019214712020.0042 391 91 626362181.00 191 291 314051181.0043 392 92 627989272.00 192 292 315678272.0044 393 93 50800842843.00 193 293 25077667843.0045 394 94 4122167691134.00 194 294 2031774772134.0046 395 95 27109203070075400.00 195 295 13383557093828400.0047 396 96 70936644.00 196 296 37145644.0048 397 97 336386597068488.00 197 297 166955718725487.0049 398 98 462785584762.00 198 298 230752721762.0050 399 99 37566450240741.10 199 299 18744525361741.1051 400 100 2223627662596050000.00 200 300 1111822421232620000.0052 401 101 8099731.00 201 301 4572731.0053 402 102 5781629958.00 202 302 2938062958.0054 403 103 248923263465695000.00 203 303 125390302195823000.00

55 404 104 936796.00 204 304 601796.0056 405 105 3088423352865510.00 205 305 1563411230050500.0057 406 106 3096049487221410.00 206 306 1571037364406400.0058 407 107 652395637.00 207 307 340084637.0059 408 108 52745809608.00 208 308 27022634608.0060 409 109 4279198818299.00 209 309 2188805899299.0061 410 110 28138690942803400.00 210 310 14413044966556400.0062 411 111 73716729.00 211 311 39925729.0063 412 112 349097939476053.00 212 312 179667061133052.0064 413 113 480250964047.00 213 313 248218101047.0065 414 114 38979101239626.10 214 314 20157176360626.1066 415 115 2307014086490460000.00 215 315 1195208845127020000.0067 416 116 8425696.00 216 316 4898696.0068 417 117 5998829643.00 217 317 3155262643.0069 418 118 258188493258973000.00 218 318 134655531989101000.0070 419 119 977281.00 219 319 642281.0071 420 120 979980.00 220 320 644980.0072 421 121 3210441502559890.00 221 321 1685429379744890.0073 422 122 676802002.00 222 322 364491002.0074 423 123 54690776373.00 223 323 28967601373.0075 424 124 4436229945464.00 224 324 2345837026464.0076 425 125 29168178815531400.00 225 325 15442532839284300.0077 426 126 76496814.00 226 326 42705814.0078 427 127 361809281883618.00 227 327 192378403540617.0079 428 128 497716343332.00 228 328 265683480332.0080 429 129 40391752238511.10 229 329 21569827359511.1081 430 130 2390400510384860000.00 230 330 1278595269021430000.0082 431 131 8751661.00 231 331 5224661.0083 432 132 6216029328.00 232 332 3372462328.0084 433 133 267453723052251000.00 233 333 143920761782380000.0085 434 134 268071405038470000.00 234 334 144538443768598000.0086 435 135 1020465.00 235 335 685465.0087 436 136 3324833517898377.00 236 336 1799821395083370.00

88 437 137 701208367.00 237 337 388897367.0089 438 138 56635743138.00 238 338 30912568138.0090 439 139 4593261072629.00 239 339 2502868153629.0091 440 140 30197666688259300.00 240 340 16472020712012300.0092 441 141 79276899.00 241 341 45485899.0093 442 142 374520624291183.00 242 342 205089745948182.0094 443 143 515181722617.00 243 343 283148859617.0095 444 144 41804403237396.10 244 344 22982478358396.1096 445 145 2473786934279270000.00 245 345 1361981692915840000.0097 446 146 9077626.00 246 346 5550626.0098 447 147 6433229013.00 247 347 3589662013.0099 448 148 6447708992.00 248 348 3604141992.00

100 449 149 277336634831748000.00 249 349 153803673561876000.00101 450 150 1060950.00 250 350 725950.00102 451 151 3439225533236860.00 251 351 1914213410421860.00103 452 152 725614732.00 252 352 413303732.00104 453 153 58580709903.00 253 353 32857534903.00105 454 154 4750292199794.00 254 354 2659899280794.00106 455 155 31227154560987300.00 255 355 17501508584740300.00107 456 156 82056984.00 256 356 48265984.00108 457 157 387231966698748.00 257 357 217801088355747.00109 458 158 532647101902.00 258 358 300614238902.00110 459 159 43217054236281.10 259 359 24395129357281.10111 460 160 2557173358173680000.00 260 360 1445368116810250000.00112 461 161 9403591.00 261 361 5876591.00113 462 162 9425322.00 262 362 5898322.00114 463 163 6664908677.00 263 363 3821341677.00115 464 164 286601864625026000.00 264 364 163068903355154000.00116 465 165 1101435.00 265 365 766435.00117 466 166 3553617548575348.00 266 366 2028605425760342.00118 467 167 750021097.00 267 367 437710097.00119 468 168 60525676668.00 268 368 34802501668.00120 469 169 4907323326959.00 269 369 2816930407959.00

121 470 170 32256642433715300.00 270 370 18530996457468200.00122 471 171 84837069.00 271 371 51046069.00123 472 172 399943309106313.00 272 372 230512430763312.00124 473 173 550112481187.00 273 373 318079618187.00125 474 174 44629705235166.10 274 374 25807780356166.10126 475 175 2640559782068090000.00 275 375 1528754540704660000.00127 476 176 2646118876994380000.00 276 376 1534313635630950000.00128 477 177 9751287.00 277 377 6224287.00129 478 178 6882108362.00 278 378 4038541362.00130 479 179 295867094418304000.00 279 379 172334133148432000.00131 480 180 1141920.00 280 380 806920.00132 481 181 3668009563913830.00 281 381 2142997441098830.00133 482 182 774427462.00 282 382 462116462.00134 483 183 62470643433.00 283 383 36747468433.00135 484 184 5064354454124.00 284 384 2973961535124.00136 485 185 33286130306443200.00 285 385 19560484330196200.00137 486 186 87617154.00 286 386 53826154.00138 487 187 412654651513878.00 287 387 243223773170877.00139 488 188 567577860472.00 288 388 335544997472.00140 489 189 46042356234051.10 289 389 27220431355051.10141 490 190 46136532967310.10 290 390 27314608088310.10142 491 191 2729505300888790000.00 291 391 1617700059525360000.00143 492 192 10077252.00 292 392 6550252.00144 493 193 7099308047.00 293 393 4255741047.00145 494 194 305132324211582000.00 294 394 181599362941711000.00146 495 195 1182405.00 295 395 847405.00147 496 196 3782401579252319.00 296 396 2257389456437313.00148 497 197 798833827.00 297 397 486522827.00149 498 198 64415610198.00 298 398 38692435198.00150 499 199 5221385581289.00 299 399 3130992662289.00

A X+1 Potencia Resultado Final1 275 1.045 1.045 287.382 275 1.045 1.092025 587.683 275 1.045 1.141166125 901.504 275 1.045 1.192518600625 1,229.455 275 1.045 1.24618193765312 1,572.156 275 1.045 1.30226012484752 1,930.277 275 1.045 1.36086183046565 2,304.508 275 1.045 1.42210061283661 2,695.589 275 1.045 1.48609514041425 3,104.26

10 275 1.045 1.5529694217329 3,531.3211 275 1.045 1.62285304571088 3,977.6112 275 1.045 1.69588143276787 4,443.9813 275 1.045 1.77219609724242 4,931.3314 275 1.045 1.85194492161833 5,440.6115 275 1.045 1.93528244309115 5,972.8216 275 1.045 2.02237015303025 6,528.9717 275 1.045 2.11337680991662 7,110.1518 275 1.045 2.20847876636286 7,717.4819 275 1.045 2.30786031084919 8,352.1420 275 1.045 2.41171402483741 9,015.3621 275 1.045 2.52024115595509 9,708.4322 275 1.045 2.63365200797307 10,432.6823 275 1.045 2.75216634833186 11,189.5324 275 1.045 2.87601383400679 11,980.4325 275 1.045 3.00543445653709 12,806.9326 275 1.045 3.14067900708126 13,670.6127 275 1.045 3.28200956239992 14,573.1728 275 1.045 3.42969999270792 15,516.3329 275 1.045 3.58403649237977 16,501.9430 275 1.045 3.74531813453686 17,531.9131 275 1.045 3.91385745059102 18,608.2232 275 1.045 4.08998103586762 19,732.9633 275 1.045 4.27403018248166 20,908.3234 275 1.045 4.46636154069333 22,136.5735 275 1.045 4.66734781002453 23,420.0936 275 1.045 4.87737846147564 24,761.3737 275 1.045 5.09686049224204 26,163.0138 275 1.045 5.32621921439293 27,627.7239 275 1.045 5.56589907904061 29,158.3440 275 1.045 5.81636453759744 30,757.8441 275 1.045 6.07810094178932 32,429.3242 275 1.045 6.35161548416984 34,176.0143 275 1.045 6.63743818095748 36,001.31

44 275 1.045 6.93612289910057 37,908.7445 275 1.045 7.2482484295601 39,902.0146 275 1.045 7.5744196088903 41,984.9747 275 1.045 7.91526849129036 44,161.6748 275 1.045 8.27145557339843 46,436.3249 275 1.045 8.64367107420136 48,813.3350 275 1.045 9.03263627254042 51,297.3151 275 1.045 9.43910490480474 53,893.0652 275 1.045 9.86386462552095 56,605.6253 275 1.045 10.3077385336694 59,440.2554 275 1.045 10.7715867676845 62,402.4455 275 1.045 11.2563081722303 65,497.9256 275 1.045 11.7628420399807 68,732.7157 275 1.045 12.2921699317798 72,113.0558 275 1.045 12.8453175787099 75,645.5159 275 1.045 13.4233568697518 79,336.9460 275 1.045 14.0274079288907 83,194.4761 275 1.045 14.6586412856908 87,225.6062 275 1.045 15.3182801435468 91,438.1363 275 1.045 16.0076027500064 95,840.2264 275 1.045 16.7279448737567 100,440.4065 275 1.045 17.4807023930758 105,247.6066 275 1.045 18.2673340007642 110,271.1167 275 1.045 19.0893640307986 115,520.6968 275 1.045 19.9483854121845 121,006.4969 275 1.045 20.8460627557328 126,739.1670 275 1.045 21.7841355797408 132,729.8071 275 1.045 22.7644216808291 138,990.0272 275 1.045 23.7888206564664 145,531.9473 275 1.045 24.8593175860074 152,368.2574 275 1.045 25.9779868773778 159,512.2075 275 1.045 27.1469962868598 166,977.6276 275 1.045 28.3686111197684 174,778.9977 275 1.045 29.645198620158 182,931.4278 275 1.045 30.9792325580651 191,450.7179 275 1.045 32.3732980231781 200,353.3780 275 1.045 33.8300964342211 209,656.6481 275 1.045 35.352450773761 219,378.5782 275 1.045 36.9433110585803 229,537.9883 275 1.045 38.6057600562164 240,154.5684 275 1.045 40.3430192587461 251,248.8985 275 1.045 42.1584551253897 262,842.4786 275 1.045 44.0555856060322 274,957.7587 275 1.045 46.0380869583036 287,618.2388 275 1.045 48.1098008714273 300,848.42

89 275 1.045 50.2747419106415 314,673.9890 275 1.045 52.5371052966204 329,121.6891 275 1.045 54.9012750349683 344,219.5392 275 1.045 57.3718324115419 359,996.7993 275 1.045 59.9535648700613 376,484.0294 275 1.045 62.651475289214 393,713.1795 275 1.045 65.4707916772286 411,717.6496 275 1.045 68.4169773027039 430,532.3197 275 1.045 71.4957412813256 450,193.6498 275 1.045 74.7130496389852 470,739.7399 275 1.045 78.0751368727396 492,210.39

100 275 1.045 81.5885180320128 514,647.23