MEC PRODUCCIN

MODELO DE LA CURVA GEOMTRICA O DOBLE LOGARITMICA

=++ " " " /" +v " " " " /

=+ + +/ v " " " " /

^2 = + + +/ v " " " " /

0 2 4 6 8 10 12 140

100

200

300

400

500

600

700

800

100150

250

400350

300

500

600

700650

600550

tD

=^

log =log ( )^log =log log +

= +

47.89 = 8,68 log t+7,46b

12 8.68033696 = 47.88850958.68033696 7.46 = 36.2845145

0.52479559 -0.61029279-0.61029279 0.84369

.= + ^2

t D Cos(1 100 0.52 150 -0.53 250 -1.04 400 -0.55 350 0.56 300 1.07 500 0.58 600 -0.59 700 -1.0

10 650 -0.511 600 0.512 550 1.0

5150 0.0

n 12N 6

A B1 12 782 78 6503 0 64 0 -10

T D LOG D LOG T LOGT^2 LOGTLOGD1 1000 3 0 0 02 2000 3.30103 0.3010299957 0.09061906 0.9937090453 5000 3.69897 0.4771212547 0.22764469 1.764857214 8000 3.90308999 0.6020599913 0.36247623 2.3498943245 9000 3.95424251 0.6989700043 0.48855907 2.7638969046 12000 4.07918125 0.7781512504 0.60551937 3.174219987

0 2 4 6 8 10 12 140

100

200

300

400

500

600

700

800

100150

250

400350

300

500

600

700650

600550

tD

7 15000 4.17609126 0.84509804 0.7141907 3.5292065388 17000 4.23044892 0.903089987 0.81557152 3.8204760619 19000 4.2787536 0.9542425094 0.91057877 4.082968573

10 22000 4.34242268 1 1 4.34242268111 28000 4.44715803 1.0413926852 1.08449872 4.63123784412 30000 4.47712125 1.079181246 1.16463216 4.831625294

168000 47.8885095 8.6803369641 7.46429029 36.28451446

loga = 2.99a 1.39b 972

3.1416

Sen Dcos Dsen Cos2(2..t/N) Sen2(2..t/N)0.87 100.5000 86.6026628 0.2499978793 0.75000212070.87 149.5000 129.903443 0.2500042415 0.74999575850.00 249.0000 -0.0018366 0.9999999999 5.396974E-011

-0.87 399.5000 -346.412121 0.2499915171 0.7500084829-0.87 350.5000 -303.106749 0.2500106037 0.74998939630.00 301.0000 0.00440785 0.9999999998 2.158790E-0100.87 500.5000 433.016987 0.2499851551 0.75001484490.87 599.5000 519.609365 0.250016966 0.7499830340.00 699.0000 -0.01542746 0.9999999995 4.857277E-010

-0.87 649.5000 -562.924471 0.249978793 0.750021207-0.87 600.5000 -519.607161 0.2500233283 0.74997667170.00 551.0000 0.0161621 0.9999999991 8.635159E-0100.00 5150.0000 -562.914737 6.0000084824

Matriz inversau v

0.0 0 = 51506 -10 = 406006 0 = 5150.00000 6 = -562.9147368

LOG^2T D0 13908.3339

0.0906190583 36371.7790.2276446917 63823.43990.3624762332 95116.0876

0.488559067 129615.0870.6055193685 166905.113

0.7141906972 206688.4120.8155715246 248738.730.9105787668 292877.025

1 338957.2991.0844987247 386857.7121.1646321618 436474.7017.4642902938

Dt t.Cos(2..t/N)100 0.49999788 0.8660266282300 -1.00000848 1.7320459099750 -3 -2.203923E-005

1600 -1.99996607 -3.46412120541750 2.50005302 -4.33009640861800 6 8.815692E-0053500 3.49989608 6.06223782134800 -4.00013573 6.92812486726300 -9 -0.00019835316500 -4.99978793 -8.66037647546600 5.50025661 -9.52613128566600 12 0.0003526277

40600 6.00030538 -10.392069756

0.43444077 -0.05401653 0.054014686 -0.09002755-0.05401655 0.00831024 -0.0083100088 0.01385040.05401655 -0.00831024 0.1749766754 -0.0138504

-0.09002758 0.0138504 -0.0138500146 0.18975066

t.Sen(2..t/N)

CURVA SEMILOGARITMICA O EXPONENCIAL

328.211063 = loga +78+ logb(650)

1 122 78

0.37878788 -0.04545455-0.04545455 0.00699301

= ^ = )( ^ D=Lo g ^2 +

T D LOG D tlogD t^21 1000 3 3 12 2000 3.30103 6.60205999 43 5000 3.69897 11.09691 94 8000 3.90308999 15.6123599 165 9000 3.95424251 19.7712125 256 12000 4.07918125 24.4750875 367 15000 4.17609126 29.2326388 498 17000 4.23044892 33.8435914 649 19000 4.2787536 38.5087824 81

10 22000 4.34242268 43.4242268 10011 28000 4.44715803 48.9187383 12112 30000 4.47712125 53.7254551 14478 168000 47.8885095 328.211063 650

78 = 47.8885095 loga 3.22090226650 = 328.211063 logb 0.11843183

a 1663.03832b 1.31350529

MODELO DE CURVAS POTENCIALES DE SEGUNDO ORDEN

a b c1 12 78 6502 78 650 60843 650 6084 60710

1.06818182 -0.34090909 0.02272727-0.34090909 0.13361638 -0.009740260.02272727 -0.00974026 0.00074925

D = a+bt+ct

=+ ^2 + = ^2 + ^3 + ^2 = ^2 + ^3 ^4 +

MODELO DE CURVAS POTENCIALES DE SEGUNDO ORDEN

T D t^2 DT^2 T^31 1000 1 1000 12 2000 4 8000 83 5000 9 45000 274 8000 16 128000 645 9000 25 225000 1256 12000 36 432000 2167 15000 49 735000 3438 17000 64 1088000 5129 19000 81 1539000 729

10 22000 100 2200000 100011 28000 121 3388000 133112 30000 144 4320000 172878 168000 650 14109000 6084

= 168000 a = -681.818182= 1469000 b = 1584.41558= 14109000 c = 80.9190809

T^4 DT1 1000

16 400081 15000

256 32000625 45000

1296 720002401 1050004096 1360006561 171000

10000 22000014641 30800020736 36000060710 1469000

modelo de regresion multiple

D X Y XY5000 5000 3000 150000007000 6000 5000 300000008000 7000 6000 42000000

10000 7000 6500 4550000012000 8000 7000 5600000015000 10000 8000 8000000057000 43000 35500 268500000

a b c57000 57000 35500

439000000 43000 268500000367000000 35500 1485500000

-1.72240E-009 2.683593E-009 -4.85011E-0101.75456E-005 -2.27071E-009 -8.87429E-0126.22785E-012 -6.62940E-010 7.929985E-010

Y^2 DY dx dy9000000 15000000 25000000 15000000

25000000 35000000 42000000 3500000036000000 48000000 56000000 4800000042250000 65000000 70000000 6500000049000000 84000000 96000000 8400000064000000 120000000 150000000 120000000

225250000 367000000 439000000 367000000

===> a= 1 57000===> b = 1.45717E-016 439000000===> c = 0 367000000

Hoja1Hoja2Hoja3Hoja4