Trabalho Prática

7/25/2019 Trabalho Prtica

1/48

DISTRIBUIO NUMRICA

146.8 154 2.72 0.0272

161.2 169 2.13 0.0213

176.8 185.5 0.68 0.0068194.2 203.7 0.85 0.0085

213.2 223.65 2.26 0.0226

234.1 245.45 4.28 0.0428

256.8 269.45 5.8 0.058

282.1 295.85 6.52 0.0652

309.6 324.7 7.39 0.0739

339.8 356.45 9.57 0.0957

373.1 391.35 13 0.13

409.6 429.65 15.5 0.155

449.7 471.65 14.3 0.143493.6 517.75 9.58 0.0958

541.9 568.4 4.12 0.0412

594.9 623.95 0.84 0.0084

653 684.95 0 0

716.9 751.9 0 0

786.9 825.4 0 0

863.9 906.05 0.052 0.00052

948.2 994.6 0.15 0.0015

1041 1092 0.17 0.0017

1143 1199 0.09 0.0009

1255 1316 0.019 0.000191377 0

Dimetro mdio aritmtico Dimetro mdio geomtrico

154 0.0272 4.1888 154 0.0272 5.036953 0.137005

169 0.0213 3.5997 169 0.0213 5.129899 0.109267185.5 0.0068 1.2614 185.5 0.0068 5.223055 0.035517

203.7 0.0085 1.73145 203.7 0.0085 5.316648 0.045192

223.65 0.0226 5.05449 223.65 0.0226 5.410082 0.122268

245.45 0.0428 10.50526 245.45 0.0428 5.503093 0.235532

269.45 0.058 15.6281 269.45 0.058 5.596383 0.32459

295.85 0.0652 19.28942 295.85 0.0652 5.689853 0.370978

324.7 0.0739 23.99533 324.7 0.0739 5.782902 0.427356

356.45 0.0957 34.11227 356.45 0.0957 5.876194 0.562352

391.35 0.13 50.8755 391.35 0.13 5.969602 0.776048

429.65 0.155 66.59575 429.65 0.155 6.062971 0.93976471.65 0.143 67.44595 471.65 0.143 6.156237 0.880342

517.75 0.0958 49.60045 517.75 0.0958 6.249493 0.598701

Diameterm _ (%)_=

0 200 400

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

_

_= _ _

!


2/48

568.4 0.0412 23.41808 568.4 0.0412 6.342825 0.261324

623.95 0.0084 5.24118 623.95 0.0084 6.43607 0.054063

684.95 0 0 684.95 0 6.529346 0

751.9 0 0 751.9 0 6.622603 0

825.4 0 0 825.4 0 6.715868 0

906.05 0.00052 0.471146 906.05 0.00052 6.809094 0.003541

994.6 0.0015 1.4919 994.6 0.0015 6.902341 0.0103541092 0.0017 1.8564 1092 0.0017 6.995766 0.011893

1199 0.0009 1.0791 1199 0.0009 7.089243 0.00638

1316 0.00019 0.25004 1316 0.00019 7.182352 0.001365

387.6917 5.913829

370.1206

0.155

154 0.0272

169 0.0213 Logo,

185.5 0.0068 429.65

203.7 0.0085

223.65 0.0226

245.45 0.0428

269.45 0.058

295.85 0.0652

324.7 0.0739356.45 0.0957

391.35 0.13

429.65 0.155

471.65 0.143

517.75 0.0958

568.4 0.0412

623.95 0.0084

684.95 0

751.9 0

825.4 0906.05 0.00052

994.6 0.0015

1092 0.0017

1199 0.0009

1316 0.00019

Mdia aritmtica Mdia quadrtica

" # $ (" )#" #

&'

_

"( )#_

#_

&' !

= = _

^ _


3/48

Itera$* Itera$*154 0.0272 3.43995 154 0.0272 23716 556.7501

169 0.0485 1.2053 169 0.0485 28561 214.1023

185.5 0.0553 1.6541 185.5 0.0553 34410.25 322.5917

203.7 0.0638 4.829055 203.7 0.0638 41493.69 1034.097

223.65 0.0864 10.03874 223.65 0.0864 50019.32 2359.672

245.45 0.1292 14.9321 245.45 0.1292 60245.7 3852.621269.45 0.1872 18.42878 269.45 0.1872 72603.3 5220.255

295.85 0.2524 22.92932 295.85 0.2524 87527.22 7129.773

324.7 0.3263 32.59303 324.7 0.3263 105430.1 11124.49

356.45 0.422 48.607 356.45 0.422 127056.6 18213.74

391.35 0.552 63.6275 391.35 0.552 153154.8 26175.93

429.65 0.707 64.44295 429.65 0.707 184599.1 29104.28

471.65 0.85 47.39226 471.65 0.85 222453.7 23495.85

517.75 0.9458 22.37469 517.75 0.9458 268065.1 12177.56

568.4 0.987 5.00787 568.4 0.987 323078.6 2992.047

623.95 0.9954 0 623.95 0.9954 389313.6 0684.95 0.9954 0 684.95 0.9954 469156.5 0

751.9 0.9954 0 751.9 0.9954 565353.6 0

825.4 0.9954 0.450177 825.4 0.9954 681285.2 390.5751

906.05 0.99592 1.425487 906.05 0.99592 820926.6 1357.617

994.6 0.99742 1.77361 994.6 0.99742 989229.2 1854.439

1092 0.99912 1.03095 1092 0.99912 1192464 1183.529

1199 1.00002 0.238925 1199 1.00002 1437601 301.0984

1316 1.00021 1316 1.00021 1731856

Itera$* Itera$*366.4218 149061

Logo, 149061471.65 Logo,

386.0842

" )( (_) #


4/48

DISTRIBUIO NUMRICA CU

154 0.0272

169 0.0485

185.5 0.0553203.7 0.0638

223.65 0.0864

245.45 0.1292

269.45 0.1872

295.85 0.2524

324.7 0.3263

356.45 0.422

391.35 0.552

429.65 0.707

471.65 0.85517.75 0.9458

568.4 0.987

623.95 0.9954

684.95 0.9954

751.9 0.9954

825.4 0.9954

906.05 0.99592

994.6 0.99742

1092 0.99912

1199 1.00002

1316 1.00021

Dimetro mdio u!er"cia# Dimetro mdio $o#%

154 0.0272 23716 645.0752 154 0.0272

169 0.0213 28561 608.3493 169 0.0213185.5 0.0068 34410.25 233.9897 185.5 0.0068

203.7 0.0085 41493.69 352.6964 203.7 0.0085

223.65 0.0226 50019.32 1130.437 223.65 0.0226

245.45 0.0428 60245.7 2578.516 245.45 0.0428

269.45 0.058 72603.3 4210.992 269.45 0.058

295.85 0.0652 87527.22 5706.775 295.85 0.0652

324.7 0.0739 105430.1 7791.284 324.7 0.0739

356.45 0.0957 127056.6 12159.32 356.45 0.0957

391.35 0.13 153154.8 19910.13 391.35 0.13

429.65 0.155 184599.1 28612.86 429.65 0.155471.65 0.143 222453.7 31810.88 471.65 0.143

517.75 0.0958 268065.1 25680.63 517.75 0.0958

600 800 1000 1200 1400

-$-()_

$( ) _ )( _

()


5/48

568.4 0.0412 323078.6 13310.84 568.4 0.0412

623.95 0.0084 389313.6 3270.234 623.95 0.0084

684.95 0 469156.5 0 684.95 0

751.9 0 565353.6 0 751.9 0

825.4 0 681285.2 0 825.4 0

906.05 0.00052 820926.6 426.8818 906.05 0.00052

994.6 0.0015 989229.2 1483.844 994.6 0.00151092 0.0017 1192464 2027.189 1092 0.0017

1199 0.0009 1437601 1293.841 1199 0.0009

1316 0.00019 1731856 329.0526 1316 0.00019

163573.8

404.4426

0.42 ./012/0.55 391.35

0.50&

0.42 ./012/

& ' 377.39

#ogo, 377.39

(im, 377.39

Mdia c%)ica Mdia geomtrica

( ") #^_#

0 200 400 600 800 1000 1200 1400

0

0.2

0.4

0.6

0.8

1

1.2

"( )_

= ^ _


6/48

Itera$*154 0.0272 3652264 90302.13 154 0.0272

169 0.0485 4826809 38113.7 169 0.0485

185.5 0.0553 6383101 63050.31 185.5 0.0553

203.7 0.0638 8452265 221921.7 203.7 0.0638

223.65 0.0864 11186821 555846.4 223.65 0.0864

245.45 0.1292 14787308 996157.8 245.45 0.1292269.45 0.1872 19562960 1481927 269.45 0.1872

295.85 0.2524 25894929 2221733 295.85 0.2524

324.7 0.3263 34233150 3805150 324.7 0.3263

356.45 0.422 45289326 6839720 356.45 0.422

391.35 0.552 59937140 10791887 391.35 0.552

429.65 0.707 79313013 13172682 429.65 0.707

471.65 0.85 1.0*+008 11673756 471.65 0.85

517.75 0.9458 1.4*+008 6642028 517.75 0.9458

568.4 0.987 1.8*+008 1791510 568.4 0.987

623.95 0.9954 2.4*+008 0 623.95 0.9954684.95 0.9954 3.2*+008 0 684.95 0.9954

751.9 0.9954 4.3*+008 0 751.9 0.9954

825.4 0.9954 5.6*+008 339594.7 825.4 0.9954

906.05 0.99592 7.4*+008 1295766 906.05 0.99592

994.6 0.99742 9.8*+008 1943149 994.6 0.99742

1092 0.99912 1.3*+009 1361634 1092 0.99912

1199 1.00002 1.7*+009 380266.6 1199 1.00002

1316 1.00021 2.3*+009 1316 1.00021

Itera$*65706196

65706196Logo,

403.5234

" )( (_) #

( " "( (

) ) ) # " )( (_

) #

( " "( (

) ) ) #


7/48

MU+ATI,A

ico Dimetro mdio u!er-ciedimetro

421.9172

3652264 99341.58

4826809 1028116383101 43405.09 Dimetro mdio $o#umedimetro

8452265 71844.25

11186821 252822.2

14787308 632896.8 193303.7

19562960 1134652 439.6631

25894929 1688349

34233150 2529830

45289326 4334188 Dimetro mdio $o#umerea u!er"cia#

59937140 7791828

79313013 122935171.0*+008 15003603 458.1554

1.4*+008 13296148

_

0 200 400 600

0

0.2

0.4

0.6

0.8

1

1.2

_

_ )( _

()


8/48

1.8*+008 7565880

2.4*+008 2040463 Logo, temo/

3.2*+008 0

4.3*+008 0 .3410565.6*+008 0 .4718687.4*+008 386776.3 272122.

9.8*+008 1475831 26810731.3*+009 2213690 26815841.7*+009 1551315 2.5100.2.3*+009 433033.3 2/318//

74942224

421.608

Mdia armica

( " ) #^"#

"( )#_

=

_

"(9)#(,(,(,(,(,(,(,(,(,(,(,"(9)#(,(,(,(,(,(,(,(,(,(,(,


9/48

Itera$* Itera$*5.036953 0.108277 154 0.0272 0.006494 0.000132

5.129899 0.0352 169 0.0485 0.005917 3.84*005

5.223055 0.044794 185.5 0.0553 0.005391 4.38*005

5.316648 0.121212 203.7 0.0638 0.004909 0.000106

5.410082 0.233542 223.65 0.0864 0.004471 0.000183

5.503093 0.321885 245.45 0.1292 0.004074 0.0002265.596383 0.367931 269.45 0.1872 0.003711 0.000231

5.689853 0.423918 295.85 0.2524 0.00338 0.000239

5.782902 0.557888 324.7 0.3263 0.00308 0.000282

5.876194 0.769977 356.45 0.422 0.002805 0.000348

5.969602 0.932524 391.35 0.552 0.002555 0.000378

6.062971 0.873673 429.65 0.707 0.002327 0.000318

6.156237 0.594234 471.65 0.85 0.00212 0.000194

6.249493 0.259402 517.75 0.9458 0.001931 7.60*005

6.342825 0.053671 568.4 0.987 0.001759 1.41*005

6.43607 0 623.95 0.9954 0.001603 06.529346 0 684.95 0.9954 0.00146 0

6.622603 0 751.9 0.9954 0.00133 0

6.715868 0.003516 825.4 0.9954 0.001212 6.02*007

6.809094 0.010284 906.05 0.99592 0.001104 1.58*006

6.902341 0.011813 994.6 0.99742 0.001005 1.63*006

6.995766 0.006338 1092 0.99912 0.000916 7.87*007

7.089243 0.001356 1199 1.00002 0.000834 1.51*007

7.182352 1316 1.00021 0.00076

Itera$* Itera$*5.731436 0.002814

5.731436 0.002814Logo, Logo,

308.412 355.3195

" )( (_) #

( "( (_

) ) )#

#


10/48

DISTRIBUIO M:SSICA

Itera$*154 0.0272 99341.58 1516144.5938 2.8227087466151*005

169 0.0213 102811 1206282.9987 2.9212903206399*005

185.5 0.0068 43405.09 1048768.984 1.2333196670437*005203.7 0.0085 71844.25 3238547.489 2.0413948516530*005

223.65 0.0226 252822.2 9654336.3809 7.1837324493716*005

245.45 0.0428 632896.8 21210581.285 0.0001798324

269.45 0.058 1134652 37263613.57 0.0003224019

295.85 0.0652 1688349 60847234.35 0.0004797305

324.7 0.0739 2529830 108966290.45 0.0007188302

356.45 0.0957 4334188 211598990.83 0.0012315238

391.35 0.13 7791828 384634360.28 0.0022139834

429.65 0.155 12293517 573239512.8 0.003493101

471.65 0.143 15003603 652309246.13 0.0042631494517.75 0.0958 13296148 528330841.21 0.0037779903

568.4 0.0412 7565880 266816155.48 0.002149782

623.95 0.0084 2040463 62234111.348 0.0005797806

684.95 0 0 0 0

751.9 0 0 0 0

825.4 0 0 15596753.695 0

906.05 0.00052 386776.3 82466936.829 0.0001098993

994.6 0.0015 1475831 179679680.17 0.0004193452

1092 0.0017 2213690 201427789.37 0.0006290017

1199 0.0009 1551315 116084388 0.0004407934

1316 0.00019 433033.3 0.0001230428Itera$*

3519370566

2.84142*010


154 0 0 154 0

169 0.001372 0.231846 169 0.0013718706

185.5 0.000579 0.107438 185.5 0.0005791807

203.7 0.000959 0.195279 203.7 0.0009586618

223.65 0.003374 0.754497 223.65 0.003373561

245.45 0.008445 2.072857 245.45 0.0084451293

269.45 0.01514 4.079568 269.45 0.0151403523

295.85 0.022529 6.66511 295.85 0.0225286797324.7 0.033757 10.96092 324.7 0.0337570687

356.45 0.057834 20.61483 356.45 0.057833732

_

_ ^

_

9 #_

!

"( )

"= _ "


11/48

391.35 0.103971 40.6891 391.35 0.1039711362

429.65 0.16404 70.47976 429.65 0.1640399279

471.65 0.200202 94.4254 471.65 0.2002022605

517.75 0.177419 91.8585 517.75 0.1774186437

568.4 0.100956 57.38348 568.4 0.1009561655

623.95 0.027227 16.98838 623.95 0.0272271433

684.95 0 0 684.95 0751.9 0 0 751.9 0

825.4 0 0 825.4 0

906.05 0.005161 4.676118 906.05 0.0051609929

994.6 0.019693 19.58658 994.6 0.0196929168

1092 0.029539 32.25618 1092 0.0295386239

1199 0.0207 24.81948 1199 0.0207001495

1316 0.005778 7.604148 1316 0.0057782282

506.4495

0.200202

154 0

169 0.001372 Logo,

185.5 0.000579 471.65

203.7 0.000959

223.65 0.003374

245.45 0.008445269.45 0.01514

295.85 0.022529

324.7 0.033757

356.45 0.057834

391.35 0.103971

429.65 0.16404

471.65 0.200202

517.75 0.177419

568.4 0.100956

623.95 0.027227684.95 0

751.9 0

825.4 0

906.05 0.005161

994.6 0.019693

1092 0.029539

1199 0.0207

1316 0.005778

" #

&'

"

"( )_ #

" #

0

0

0.2

0.4

0.6

0.8

1

1.2"(

)_

&' !


12/48


Itera$*154 0.001326 0.221557 154 0.0013255756

169 0.002697 0.10266 169 0.0026974461

185.5 0.003277 0.186556 185.5 0.0032766268203.7 0.004235 0.720846 203.7 0.0042352887

223.65 0.007609 1.980805 223.65 0.0076088497

245.45 0.016054 3.897884 245.45 0.0160539789

269.45 0.031194 6.367731 269.45 0.0311943312

295.85 0.053723 10.47397 295.85 0.0537230109

324.7 0.08748 19.69672 324.7 0.0874800796

356.45 0.145314 38.87481 356.45 0.1453138116

391.35 0.249285 67.33839 391.35 0.2492849477

429.65 0.413325 90.22115 429.65 0.4133248756

471.65 0.613527 87.769 471.65 0.6135271362517.75 0.790946 54.82677 517.75 0.7909457799

568.4 0.891902 16.23214 568.4 0.8919019454

623.95 0.919129 0 623.95 0.9191290886

684.95 0.919129 0 684.95 0.9191290886

751.9 0.919129 0 751.9 0.9191290886

825.4 0.919129 4.468001 825.4 0.9191290886

906.05 0.92429 18.71467 906.05 0.9242900815

994.6 0.943983 30.81765 994.6 0.9439829983

1092 0.973522 23.71202 1092 0.9735216223

1199 0.994222 7.266122 1199 0.9942217718

1316 1 1316 1Itera$*483.8895

Logo,

471.65

= "( _)

( " ) (_ ) #

= "( _)

(() )

#


13/48

0

0.0013718706

0.00057918070.0009586618

0.003373561

0.0084451293

0.0151403523

0.0225286797

0.0337570687

0.057833732

0.1039711362

0.1640399279

0.20020226050.1774186437

0.1009561655

0.0272271433

0

0

0

0.0051609929

0.0196929168

0.0295386239

0.0207001495

0.0057782282

Dimetro mdio u!er"cia#

5.0369526024 0 154 0 23716 0

5.1298987149 0.007038 169 0.001372 28561 39.182

5.223054882 0.003025 185.5 0.000579 34410.25 19.92975

5.3166483232 0.005097 203.7 0.000959 41493.69 39.77842

5.4100823299 0.018251 223.65 0.003374 50019.32 168.7432

5.5030932605 0.046474 245.45 0.008445 60245.7 508.7827

5.5963828444 0.084731 269.45 0.01514 72603.3 1099.24

5.6898525691 0.128185 295.85 0.022529 87527.22 1971.8735.7829016791 0.195214 324.7 0.033757 105430.1 3559.011

5.8761939776 0.339842 356.45 0.057834 127056.6 7348.157

0 200 400 600 800 10000

0.05

0.1

0.15

0.2

0.25

"

-$-()_

$( ) " )( _

()


14/48

5.9696023003 0.620666 391.35 0.103971 153154.8 15923.68

6.0629709238 0.994569 429.65 0.16404 184599.1 30281.63

6.1562371851 1.232493 471.65 0.200202 222453.7 44535.74

6.2494925003 1.108776 517.75 0.177419 268065.1 47559.74

6.3428253962 0.640347 568.4 0.100956 323078.6 32616.77

6.436070237 0.175236 623.95 0.027227 389313.6 10599.9

6.5293458429 0 684.95 0 469156.5 06.6226033364 0 751.9 0 565353.6 0

6.7158681173 0 825.4 0 681285.2 0

6.8090944922 0.035142 906.05 0.005161 820926.6 4236.796

6.9023406463 0.135927 994.6 0.019693 989229.2 19480.81

6.9957661563 0.206645 1092 0.029539 1192464 35223.75

7.089243155 0.146748 1199 0.0207 1437601 29758.56

7.1823521119 0.041501 1316 0.005778 1731856 10007.06

6.165909 294979.1

476.2338 543.1198

$ (" )#" #

( ") #^

_#

200 400 600 800 1000 1200 1400


15/48

Mdia c%)ica

Itera$* Itera$*23716 35.85864 154 0.001326 3652264 5816.095

28561 18.23587 169 0.002697 4826809 3246.282

34410.25 36.38311 185.5 0.003277 6383101 7111.0541493.69 154.3624 203.7 0.004235 8452265 33126.83

50019.3225 465.6012 223.65 0.007609 11186821 109677.4

60245.7025 1005.69 245.45 0.016054 14787308 260037.6

72603.3025 1803.765 269.45 0.031194 19562960 512053.1

87527.2225 3256.837 295.85 0.053723 25894929 1014874

105430.09 6722.787 324.7 0.08748 34233150 2299541

127056.6025 14566.95 356.45 0.145314 45289326 5470258

153154.8225 27702.57 391.35 0.249285 59937140 11421293

184599.1225 40746.45 429.65 0.413325 79313013 18441963

222453.7225 43513.59 471.65 0.613527 1.0*+008 21619436268065.0625 29839.8 517.75 0.790946 1.4*+008 16275575

323078.56 9698.202 568.4 0.891902 1.8*+008 5806870

389313.6025 0 623.95 0.919129 2.4*+008 0

469156.5025 0 684.95 0.919129 3.2*+008 0

565353.61 0 751.9 0.919129 4.3*+008 0

681285.16 3876.452 825.4 0.919129 5.6*+008 3370472

820926.6025 17823.62 906.05 0.92429 7.4*+008 17011607

989229.16 32222.11 994.6 0.943983 9.8*+008 33763504

1192464 27221.37 1092 0.973522 1.3*+009 31317818

1437601 9156.923 1199 0.994222 1.7*+009 11564564

1731856 1316 1 2.3*+009Itera$* Itera$*269867.5 1.8*+008

269867.5 1.8*+008

Logo, Logo,

519.4878 564.9444( "( )_ ) #

"(" )

= "( _)

( "( )_ ) #

( "(( ") ) )

#

^


16/48

DISTRIBUIO M:SSICA CUMU+ATI,A

154 2.82*005 0.001326

169 5.74*005 0.002697

185.5 6.98*005 0.003277203.7 9.02*005 0.004235

223.65 0.000162 0.007609

245.45 0.000342 0.016054

269.45 0.000664 0.031194

295.85 0.001144 0.053723

324.7 0.001863 0.08748

356.45 0.003094 0.145314

391.35 0.005308 0.249285

429.65 0.008801 0.413325

471.65 0.013065 0.613527517.75 0.016843 0.790946

568.4 0.018992 0.891902

623.95 0.019572 0.919129

684.95 0.019572 0.919129

751.9 0.019572 0.919129

825.4 0.019572 0.919129

906.05 0.019682 0.92429

994.6 0.020101 0.943983

1092 0.02073 0.973522

1199 0.021171 0.994222

1316 0.021294 1

Dimetro mdio $o#%mico Dimetro mdio u!e

582.4453

154 0 3652264 0

169 0.001372 4826809 6621.757

185.5 0.000579 6383101 3696.969 Dimetro mdio $o#u

203.7 0.000959 8452265 8102.863

223.65 0.003374 11186821 37739.42

245.45 0.008445 14787308 124880.7 405546.3

269.45 0.01514 19562960 296190.1 636.8252

295.85 0.022529 25894929 583378.6324.7 0.033757 34233150 1155611

356.45 0.057834 45289326 2619251 Dimetro mdio $o#u

0 2000

0.2

0.4

0.6

0.8

1

1.2

"

1200 1400

"( _)

"( )_

" )( _

()

"#

( ") ^

#_#


17/48

391.35 0.103971 59937140 6231733

429.65 0.16404 79313013 13010501

471.65 0.200202 1.0*+008 21005281 696.2822

517.75 0.177419 1.4*+008 24624055

568.4 0.100956 1.8*+008 18539374

623.95 0.027227 2.4*+008 6613806 Logo, temo/

684.95 0 3.2*+008 0751.9 0 4.3*+008 0 /701225825.4 0 5.6*+008 0 24016.2

906.05 0.005161 7.4*+008 3838749 /2.186994.6 0.019693 9.8*+008 19375611 /5717751092 0.029539 1.3*+009 38464330 /36122/1199 0.0207 1.7*+009 35680508 0.0136/1316 0.005778 2.3*+009 13169290 0501636

2.1*+008

590.0093

0.41 26510/0.61 471.65

0.50&0.41 26510/

& ' 447.8334

#ogo, 447.8334

(im, 447.8334

( " ) #^"#

"#

" #" #_#"#"#_#"#

"(9,,,,,,,,,,, )#

"(

)#_

"(9)#(,(,(,(,(,(,(,(,(,(,(,


18/48

Mdia geomtrica Mdia armica

Itera$*154 0.001326 5.036953 0.006974 154 0.001326

169 0.002697 5.129899 0.002998 169 0.002697

185.5 0.003277 5.223055 0.005052 185.5 0.003277203.7 0.004235 5.316648 0.018094 203.7 0.004235

223.65 0.007609 5.410082 0.046082 223.65 0.007609

245.45 0.016054 5.503093 0.084025 245.45 0.016054

269.45 0.031194 5.596383 0.127132 269.45 0.031194

295.85 0.053723 5.689853 0.193643 295.85 0.053723

324.7 0.08748 5.782902 0.337145 324.7 0.08748

356.45 0.145314 5.876194 0.61581 356.45 0.145314

391.35 0.249285 5.969602 0.986911 391.35 0.249285

429.65 0.413325 6.062971 1.223157 429.65 0.413325

471.65 0.613527 6.156237 1.100504 471.65 0.613527517.75 0.790946 6.249493 0.635636 517.75 0.790946

568.4 0.891902 6.342825 0.173966 568.4 0.891902

623.95 0.919129 6.43607 0 623.95 0.919129

684.95 0.919129 6.529346 0 684.95 0.919129

751.9 0.919129 6.622603 0 751.9 0.919129

825.4 0.919129 6.715868 0.034901 825.4 0.919129

906.05 0.92429 6.809094 0.135009 906.05 0.92429

994.6 0.943983 6.902341 0.205265 994.6 0.943983

1092 0.973522 6.995766 0.145781 1092 0.973522

1199 0.994222 7.089243 0.041232 1199 0.994222

1316 1 7.182352 1316 1Itera$*6.119317

6.119317

Logo,

454.5543

= "( _)

( "( )_ ) #

( "(( ") ) )#

#

= "( _)

;( )

1


19/48

r-ciedimetro

edimetro

erea u!er"cia#

400 600 800 1000 1200 1400


20/48


21/48

Itera$*0.006494 8.51*006

0.005917 3.27*006

0.005391 4.94*0060.004909 1.58*005

0.004471 3.61*005

0.004074 5.89*005

0.003711 7.99*005

0.00338 0.000109

0.00308 0.00017

0.002805 0.000279

0.002555 0.0004

0.002327 0.000445

0.00212 0.0003590.001931 0.000186

0.001759 4.58*005

0.001603 0

0.00146 0

0.00133 0

0.001212 5.97*006

0.001104 2.08*005

0.001005 2.84*005

0.000916 1.81*005

0.000834 4.60*006

0.00076Itera$*

0.00228

0.00228

Logo,

438.5265( "( )_ ) #

( )_


22/48

DISTRIBUIO :R


23/48

391.35 0.12172 47.63494 391.35 0.1217195239

429.65 0.174923 75.15578 429.65 0.1749232536

471.65 0.194474 91.72374 471.65 0.1944741721

517.75 0.156997 81.28531 517.75 0.1569972121

568.4 0.081375 46.25361 568.4 0.0813751067

623.95 0.019992 12.47426 623.95 0.0199924068

684.95 0 0 684.95 0751.9 0 0 751.9 0

825.4 0 0 825.4 0

906.05 0.00261 2.364537 906.05 0.0026097199

994.6 0.009071 9.022416 994.6 0.0090714014

1092 0.012393 13.53328 1092 0.0123931131

1199 0.00791 9.483885 1199 0.0079098289

1316 0.002012 2.647326 1316 0.0020116462

457.5481

0.194474

154 0

169 0.003719 Logo,

185.5 0.00143 471.65

203.7 0.002156

223.65 0.006911

245.45 0.015764269.45 0.025744

295.85 0.034888

324.7 0.047632

356.45 0.074335

391.35 0.12172

429.65 0.174923

471.65 0.194474

517.75 0.156997

568.4 0.081375

623.95 0.019992684.95 0

751.9 0

825.4 0

906.05 0.00261

994.6 0.009071

1092 0.012393

1199 0.00791

1316 0.002012

#_

&'

_

"( )#_

#_

0

0

0.2

0.4

0.6

0.8

1

1.2"(

)_

&' !


24/48


Itera$*154 0.003944 0.600637 154 0.0039436336

169 0.007663 0.253553 169 0.0076627454

185.5 0.009093 0.419595 185.5 0.0090932292203.7 0.011249 1.476679 203.7 0.0112494201

223.65 0.01816 3.697358 223.65 0.0181602859

245.45 0.033924 6.62771 245.45 0.0339239096

269.45 0.059668 9.861113 269.45 0.059667587

295.85 0.094556 14.7789 295.85 0.0945556582

324.7 0.142187 25.31676 324.7 0.142187265

356.45 0.216523 45.51093 356.45 0.2165226152

391.35 0.338242 71.806 391.35 0.3382421391

429.65 0.513165 87.63979 429.65 0.5131653927

471.65 0.70764 77.66652 471.65 0.7076395649517.75 0.864637 44.19279 517.75 0.864636777

568.4 0.946012 11.91897 568.4 0.9460118837

623.95 0.966004 0 623.95 0.9660042905

684.95 0.966004 0 684.95 0.9660042905

751.9 0.966004 0 751.9 0.9660042905

825.4 0.966004 2.2593 825.4 0.9660042905

906.05 0.968614 8.62078 906.05 0.9686140103

994.6 0.977685 12.92973 994.6 0.9776854117

1092 0.990079 9.060709 1092 0.9900785249

1199 0.997988 2.529645 1199 0.9979883538

1316 1 1316 1Itera$*437.1675

Logo,

471.65

= "( )_

" )( (_) #

= "( )_

(() )

#

^


25/48

0

0.0037191118

0.00143048380.0021561909

0.0069108658

0.0157636237

0.0257436775

0.0348880711

0.0476316068

0.0743353503

0.1217195239

0.1749232536

0.19447417210.1569972121

0.0813751067

0.0199924068

0

0

0

0.0026097199

0.0090714014

0.0123931131

0.0079098289

0.0020116462


5.0369526024 0 154 0 23716 0

5.1298987149 0.019079 169 0.003719 28561 106.2216

5.223054882 0.007471 185.5 0.00143 34410.25 49.22331

5.3166483232 0.011464 203.7 0.002156 41493.69 89.46831

5.4100823299 0.037388 223.65 0.006911 50019.32 345.6768

5.5030932605 0.086749 245.45 0.015764 60245.7 949.6906

5.5963828444 0.144071 269.45 0.025744 72603.3 1869.076

5.6898525691 0.198508 295.85 0.034888 87527.22 3053.6565.7829016791 0.275449 324.7 0.047632 105430.1 5021.805

5.8761939776 0.436809 356.45 0.074335 127056.6 9444.797

0 200 400 600 800 10000

0.05

0.1

0.15

0.2

0.25

_

-$-()_

$ )( _ )( _

()


26/48

5.9696023003 0.726617 391.35 0.12172 153154.8 18641.93

6.0629709238 1.060555 429.65 0.174923 184599.1 32290.68

6.1562371851 1.197229 471.65 0.194474 222453.7 43261.5

6.2494925003 0.981153 517.75 0.156997 268065.1 42085.47

6.3428253962 0.516148 568.4 0.081375 323078.6 26290.55

6.436070237 0.128673 623.95 0.019992 389313.6 7783.316

6.5293458429 0 684.95 0 469156.5 06.6226033364 0 751.9 0 565353.6 0

6.7158681173 0 825.4 0 681285.2 0

6.8090944922 0.01777 906.05 0.00261 820926.6 2142.388

6.9023406463 0.062614 994.6 0.009071 989229.2 8973.695

6.9957661563 0.086699 1092 0.012393 1192464 14778.34

7.089243155 0.056075 1199 0.00791 1437601 11371.18

7.1823521119 0.014448 1316 0.002012 1731856 3483.881

6.064969 232032.5

430.5092 481.6976

$ ()#_

#_

( ") #^

#_

200 400 600 800 1000 1200 1400


27/48

Mdia c%)ica

Itera$* Itera$*23716 97.212 154 0.003944 3652264 15767.31

28561 45.03968 169 0.007663 4826809 8017.798

34410.25 81.83169 185.5 0.009093 6383101 15993.9441493.69 316.2171 203.7 0.011249 8452265 67861.54

50019.3225 869.0882 223.65 0.01816 11186821 204723.2

60245.7025 1710.011 245.45 0.033924 14787308 442151.1

72603.3025 2793.323 269.45 0.059668 19562960 792969

87527.2225 4595.433 295.85 0.094556 25894929 1431999

105430.09 8640.99 324.7 0.142187 34233150 2955666

127056.6025 17053.6 356.45 0.216523 45289326 6404058

153154.8225 29540.51 391.35 0.338242 59937140 12179045

184599.1225 39580.63 429.65 0.513165 79313013 17914310

222453.7225 38505.04 471.65 0.70764 1.0*+008 19130973268065.0625 24052.19 517.75 0.864637 1.4*+008 13118828

323078.56 7121.217 568.4 0.946012 1.8*+008 4263881

389313.6025 0 623.95 0.966004 2.4*+008 0

469156.5025 0 684.95 0.966004 3.2*+008 0

565353.61 0 751.9 0.966004 4.3*+008 0

681285.16 1960.176 825.4 0.966004 5.6*+008 1704321

820926.6025 8210.325 906.05 0.968614 7.4*+008 7836275

989229.16 13518.99 994.6 0.977685 9.8*+008 14165688

1192464 10401.68 1092 0.990079 1.3*+009 11966995

1437601 3187.913 1199 0.997988 1.7*+009 4026115

1731856 1316 1 2.3*+009Itera$* Itera$*212281.4 1.2*+008

212281.4 1.2*+008

Logo, Logo,

460.7401 491.3798" )( (_) #

" "( )

= "( )_

" )( (_) #

( " "( ( ) ) )

#

^


28/48

DISTRIBUIO :R


29/48

391.35 0.12172 59937140 7295520

429.65 0.174923 79313013 13873690

471.65 0.194474 1.0*+008 20404288 582.4453

517.75 0.156997 1.4*+008 21789751

568.4 0.081375 1.8*+008 14943550

623.95 0.019992 2.4*+008 4856400 Logo, temo/

684.95 0 3.2*+008 0751.9 0 4.3*+008 0 2/41/23825.4 0 5.6*+008 0 2.71/75

906.05 0.00261 7.4*+008 1941111 2381053994.6 0.009071 9.8*+008 8925237 /8.18431092 0.012393 1.3*+009 16137949 /7418661199 0.00791 1.7*+009 13634042 /2.1231316 0.002012 2.3*+009 4584788 /36122/

1.4*+008

513.178

0.338242 391.35

0.513165 429.65

0.5&0.338242 391.35

& ' 426.7674

#ogo, 426.7674

(im, 426.7674

( ") #^

#_

#_

#_ #_ #_ #_ #_ #_ #_

"(9)#(,(,(,(,(,(,(,(,(,(,(,

"(

)#_


30/48

Mdia geomtrica Mdia armica

Itera$*154 0.003944 5.036953 0.018906 154 0.003944

169 0.007663 5.129899 0.007405 169 0.007663

185.5 0.009093 5.223055 0.011363 185.5 0.009093203.7 0.011249 5.316648 0.037065 203.7 0.011249

223.65 0.01816 5.410082 0.086016 223.65 0.01816

245.45 0.033924 5.503093 0.142871 245.45 0.033924

269.45 0.059668 5.596383 0.196877 269.45 0.059668

295.85 0.094556 5.689853 0.273233 295.85 0.094556

324.7 0.142187 5.782902 0.433341 324.7 0.142187

356.45 0.216523 5.876194 0.720932 356.45 0.216523

391.35 0.338242 5.969602 1.052388 391.35 0.338242

429.65 0.513165 6.062971 1.18816 429.65 0.513165

471.65 0.70764 6.156237 0.973832 471.65 0.70764517.75 0.864637 6.249493 0.512351 517.75 0.864637

568.4 0.946012 6.342825 0.12774 568.4 0.946012

623.95 0.966004 6.43607 0 623.95 0.966004

684.95 0.966004 6.529346 0 684.95 0.966004

751.9 0.966004 6.622603 0 751.9 0.966004

825.4 0.966004 6.715868 0.017648 825.4 0.966004

906.05 0.968614 6.809094 0.062191 906.05 0.968614

994.6 0.977685 6.902341 0.08612 994.6 0.977685

1092 0.990079 6.995766 0.055705 1092 0.990079

1199 0.997988 7.089243 0.014355 1199 0.997988

1316 1 7.182352 1316 1Itera$*6.018501

6.018501

Logo,

410.962

= "( )_

" )( (_) #

( "( (_) ) )#

#

= "( )_

;(

)

1


31/48

r-ciedimetro

edimetro

erea u!er"cia#

400 600 800 1000 1200 1400


32/48


33/48

Itera$*0.006494 2.31*005

0.005917 8.09*006

0.005391 1.11*0050.004909 3.24*005

0.004471 6.74*005

0.004074 0.0001

0.003711 0.000124

0.00338 0.000154

0.00308 0.000219

0.002805 0.000326

0.002555 0.000427

0.002327 0.000432

0.00212 0.0003180.001931 0.00015

0.001759 3.36*005

0.001603 0

0.00146 0

0.00133 0

0.001212 3.02*006

0.001104 9.57*006

0.001005 1.19*005

0.000916 6.92*006

0.000834 1.60*006

0.00076Itera$*0.002459

0.002459

Logo,

406.6427" )( (_) #

)(_


34/48

DISTRIBUIO ,O+=MICA

1.43333*007

Itera$*154 0 0 4.7139741536 0

169 0.0037191 0.6285299 7.3745482803 2.9219088979752*005

185.5 0.0014305 0.2653548 6.4115945561 1.2335808199965*005203.7 0.0021562 0.4392161 19.798691387 2.0418271128968*005

223.65 0.0069109 1.5456151 59.021282596 7.1852535902333*005

245.45 0.0157636 3.8691814 129.66978389 0.0001798705

269.45 0.0257437 6.9366339 227.8091606 0.0003224701

295.85 0.0348881 10.321636 371.98639783 0.0004798321

324.7 0.0476316 15.465983 666.15974089 0.0007189824

356.45 0.0743354 26.496836 1293.5994088 0.0012317845

391.35 0.1217195 47.634936 2351.442127 0.0022144523

429.65 0.1749233 75.155776 3504.469903 0.0034938407

471.65 0.1944742 91.723743 3987.8585992 0.0042640521517.75 0.1569972 81.285307 3229.9230784 0.0037787902

568.4 0.0813751 46.253611 1631.1666688 0.0021502372

623.95 0.0199924 12.474262 380.46499812 0.0005799033

684.95 0 0 0 0

751.9 0 0 0 0

825.4 0 0 95.349941322 0

906.05 0.0026097 2.3645367 504.15732282 0.0001099225

994.6 0.0090714 9.0224158 1098.4623657 0.0004194339

1092 0.0123931 13.53328 1231.4182985 0.0006291349

1199 0.0079098 9.4838849 709.6758597 0.0004408867

1316 0.0020116 2.6473264 0.0001230689Itera$*21510.933745

6.66324*012


154 0 0 154 0

169 0.0013737 0.2321539 169 0.0013736915

185.5 0.0005799 0.1075806 185.5 0.0005799495

203.7 0.0009599 0.1955386 203.7 0.0009599343

223.65 0.003378 0.7554984 223.65 0.0033780389

245.45 0.0084563 2.0756084 245.45 0.0084563388

269.45 0.0151604 4.0849829 269.45 0.0151604486

295.85 0.0225586 6.6739567 295.85 0.0225585828324.7 0.0338019 10.975469 324.7 0.0338018756

356.45 0.0579105 20.642197 356.45 0.0579104967

_

_ ,>?e " = _

9 #_

!

"(_)

_= _ _

(x)xfk

k(x)f a

a

vv =


35/48

391.35 0.1041091 40.743112 391.35 0.1041091407

429.65 0.1642577 70.573305 429.65 0.1642576638

471.65 0.200468 94.55073 471.65 0.200467996

517.75 0.1776541 91.98043 517.75 0.1776541377

568.4 0.1010902 57.459652 568.4 0.1010901682

623.95 0.0272633 17.010925 623.95 0.0272632828

684.95 0 0 684.95 0751.9 0 0 751.9 0

825.4 0 0 825.4 0

906.05 0.0051678 4.6823244 906.05 0.0051678433

994.6 0.0197191 19.612573 994.6 0.0197190559

1092 0.0295778 32.298992 1092 0.0295778316

1199 0.0207276 24.852423 1199 0.0207276255

1316 0.0057859 7.6142416 1316 0.0057858979

507.12169

0.200468

154 0

169 0.0013737 Logo,

185.5 0.0005799 471.65

203.7 0.0009599

223.65 0.003378

245.45 0.0084563269.45 0.0151604

295.85 0.0225586

324.7 0.0338019

356.45 0.0579105

391.35 0.1041091

429.65 0.1642577

471.65 0.200468

517.75 0.1776541

568.4 0.1010902

623.95 0.0272633684.95 0

751.9 0

825.4 0

906.05 0.0051678

994.6 0.0197191

1092 0.0295778

1199 0.0207276

1316 0.0057859

#_

&'

_

"( )#_

#_

0

0

0.2

0.4

0.6

0.8

1

1.2"(

)_

&' !


36/48


Itera$*154 0 0.2218512 154 0

169 0.0013737 0.102796 169 0.0013736915

185.5 0.0019536 0.1868032 185.5 0.001953641203.7 0.0029136 0.7218025 203.7 0.0029135753

223.65 0.0062916 1.9834343 223.65 0.0062916141

245.45 0.014748 3.9030575 245.45 0.0147479529

269.45 0.0299084 6.3761834 269.45 0.0299084015

295.85 0.052467 10.487877 295.85 0.0524669843

324.7 0.0862689 19.722867 324.7 0.0862688599

356.45 0.1441794 38.926408 356.45 0.1441793566

391.35 0.2482885 67.427771 391.35 0.2482884973

429.65 0.4125462 90.340902 429.65 0.4125461612

471.65 0.6130142 87.885502 471.65 0.6130141572517.75 0.7906683 54.899543 517.75 0.7906682949

568.4 0.8917585 16.253688 568.4 0.891758463

623.95 0.9190217 0 623.95 0.9190217458

684.95 0.9190217 0 684.95 0.9190217458

751.9 0.9190217 0 751.9 0.9190217458

825.4 0.9190217 4.4739311 825.4 0.9190217458

906.05 0.9241896 18.739512 906.05 0.9241895891

994.6 0.9439086 30.858552 994.6 0.943908645

1092 0.9734865 23.743495 1092 0.9734864766

1199 0.9942141 7.2757666 1199 0.9942141021

1316 1 1316 1Itera$*484.53174

Logo,

471.65

= "( )_

" )( (_) #

= "( )_

(() )

#

^


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0

0.0013736915

0.00057994950.0009599343

0.0033780389

0.0084563388

0.0151604486

0.0225585828

0.0338018756

0.0579104967

0.1041091407

0.1642576638

0.2004679960.1776541377

0.1010901682

0.0272632828

0

0

0

0.0051678433

0.0197190559

0.0295778316

0.0207276255

0.0057858979


5.0369526024 0 154 0 23716

5.1298987149 0.0070469 169 0.0013737 28561

5.223054882 0.0030291 185.5 0.0005799 34410.25

5.3166483232 0.0051036 203.7 0.0009599 41493.69

5.4100823299 0.0182755 223.65 0.003378 50019.3225

5.5030932605 0.046536 245.45 0.0084563 60245.7025

5.5963828444 0.0848437 269.45 0.0151604 72603.3025

5.6898525691 0.128355 295.85 0.0225586 87527.22255.7829016791 0.1954729 324.7 0.0338019 105430.09

5.8761939776 0.3402933 356.45 0.0579105 127056.6025

0 200 400 600 8000

0.05

0.1

0.15

0.2

0.25

_

-$-()_

$ )( _ )( _

()


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5.9696023003 0.6214902 391.35 0.1041091 153154.8225

6.0629709238 0.9958894 429.65 0.1642577 184599.1225

6.1562371851 1.2341285 471.65 0.200468 222453.7225

6.2494925003 1.1102482 517.75 0.1776541 268065.0625

6.3428253962 0.6411973 568.4 0.1010902 323078.56

6.436070237 0.1754684 623.95 0.0272633 389313.6025

6.5293458429 0 684.95 0 469156.50256.6226033364 0 751.9 0 565353.61

6.7158681173 0 825.4 0 681285.16

6.8090944922 0.0351883 906.05 0.0051678 820926.6025

6.9023406463 0.1361076 994.6 0.0197191 989229.16

6.9957661563 0.2069196 1092 0.0295778 1192464

7.089243155 0.1469432 1199 0.0207276 1437601

7.1823521119 0.0415564 1316 0.0057859 1731856

6.1740932

480.14742

$ ()#_

#_

( ") #^

#_

200 400 600 800 1000 1200 14


39/48

Mdia c%)ica

Itera$*23716 35.906235 154 0 3652264

28561 18.260071 169 0.0013737 4826809

34410.25 36.431398 185.5 0.0019536 6383101.37541493.69 154.56726 203.7 0.0029136 8452264.653

50019.3225 466.2192 223.65 0.0062916 11186821.4771

60245.7025 1007.0253 245.45 0.014748 14787307.6786

72603.3025 1806.1589 269.45 0.0299084 19562959.8586

87527.2225 3261.1595 295.85 0.052467 25894928.7766

105430.09 6731.7099 324.7 0.0862689 34233150.223

127056.6025 14586.285 356.45 0.1441794 45289325.9611

153154.8225 27739.337 391.35 0.2482885 59937139.7854

184599.1225 40800.534 429.65 0.4125462 79313012.9821

222453.7225 43571.346 471.65 0.6130142 104920298.217268065.0625 29879.404 517.75 0.7906683 138790686.109

323078.56 9711.0745 568.4 0.8917585 183637853.504

389313.6025 0 623.95 0.9190217 242912222.28

469156.5025 0 684.95 0.9190217 321348746.387

565353.61 0 751.9 0.9190217 425089379.359

681285.16 3881.5975 825.4 0.9190217 562332771.064

820926.6025 17847.281 906.05 0.9241896 743800548.195

989229.16 32264.876 994.6 0.9439086 983887322.536

1192464 27257.501 1092 0.9734865 1302170688

1437601 9169.0773 1199 0.9942141 1723683599

1731856 1316 1 2279122496Itera$*270225.75

270225.75

Logo, Logo,

519.83243" )( (_) #

" "( )

= "( )_

" )( (_) #

( " "( ( ) ) )

#

^


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DISTRIBUIO ,O+=MICA CUMU+ATI,A

154 0 0

169 2.9219089*005 0.0013736915

185.5 4.1554897*005 0.001953641203.7 6.1973168*005 0.0029135753

223.65 0.0001338257 0.0062916141

245.45 0.0003136962 0.0147479529

269.45 0.0006361663 0.0299084015

295.85 0.0011159984 0.0524669843

324.7 0.0018349808 0.0862688599

356.45 0.0030667653 0.1441793566

391.35 0.0052812176 0.2482884973

429.65 0.0087750583 0.4125461612

471.65 0.0130391104 0.6130141572517.75 0.0168179007 0.7906682949

568.4 0.0189681379 0.891758463

623.95 0.0195480412 0.9190217458

684.95 0.0195480412 0.9190217458

751.9 0.0195480412 0.9190217458

825.4 0.0195480412 0.9190217458

906.05 0.0196579638 0.9241895891

994.6 0.0200773977 0.943908645

1092 0.0207065326 0.9734864766

1199 0.0211474194 0.9942141021

1316 0.0212704882 1

Dimetro mdio $o#%mico

0 154 0 3652264 0

39.234003066 169 0.0013737 4826809 6630.54651813

19.956205968 185.5 0.0005799 6383101.375 3701.87620701

39.831216072 203.7 0.0009599 8452264.653 8113.6187138

168.96721538 223.65 0.003378 11186821.4771 37789.5177205

509.45807042 245.45 0.0084563 14787307.6786 125046.483384

1100.6986363 269.45 0.0151604 19562959.8586 296583.247543

1974.4900928 295.85 0.0225586 25894928.7766 584152.8939693563.7347896 324.7 0.0338019 34233150.223 1157144.68617

7357.9109631 356.45 0.0579105 45289325.9611 2622727.36279

_

1000 1200 1400

"( )_

_ )( _

()


41/48

15944.816967 391.35 0.1041091 59937139.7854 6240004.11986

30321.820606 429.65 0.1642577 79313012.9821 13027770.2235

44594.851956 471.65 0.200468 104920298.217 21033161.9252

47622.867521 517.75 0.1776541 138790686.109 24656739.6592

32660.065959 568.4 0.1010902 183637853.504 18563981.4911

10613.96684 623.95 0.0272633 242912222.28 6622584.61002

0 684.95 0 321348746.387 00 751.9 0 425089379.359 0

0 825.4 0 562332771.064 0

4242.420008 906.05 0.0051678 743800548.195 3843844.64822

19506.665139 994.6 0.0197191 983887322.536 19401329.1468

35270.499355 1092 0.0295778 1302170688 38515385.296

29798.055184 1199 0.0207276 1723683599 35727868.1662

10020.341954 1316 0.0057859 2279122496 13186770.0117

295370.65268 205661329.531

543.4801309 590.27022911

0.4125462 429.65

0.6130142 471.65

0.5&0.4125462 429.65

& ' 447.97243

#ogo, 447.97243

(im, 447.97243

( ") #^

#_

0"(9)#(,(,(,(,(,(,(,(,(,(,(,

"(

)#_


42/48

Mdia geomtrica

Itera$* Itera$*5823.8152739 154 0 5.0369526024 0.0069830586

3250.5907444 169 0.0013737 5.1298987149 0.0030020949

7120.4883172 185.5 0.0019536 5.223054882 0.005058711333170.798106 203.7 0.0029136 5.3166483232 0.0181176565

109823.01784 223.65 0.0062916 5.4100823299 0.046142755

260382.73282 245.45 0.014748 5.5030932605 0.0841365185

512732.77152 269.45 0.0299084 5.5963828444 0.1273007378

1016220.924 295.85 0.052467 5.6898525691 0.1939003061

2302593.0483 324.7 0.0862689 5.7829016791 0.3375920104

5477518.4646 356.45 0.1441794 5.8761939776 0.6166278358

11436452.391 391.35 0.2482885 5.9696023003 0.9882211838

18466441.348 429.65 0.4125462 6.0629709238 1.2247800813

21648132.382 471.65 0.6130142 6.1562371851 1.101964604816297177.644 517.75 0.7906683 6.2494925003 0.6364797668

5814577.6708 568.4 0.8917585 6.3428253962 0.1741973227

0 623.95 0.9190217 6.436070237 0

0 684.95 0.9190217 6.5293458429 0

0 751.9 0.9190217 6.6226033364 0

3374946.1339 825.4 0.9190217 6.7158681173 0.0349474434

17034186.881 906.05 0.9241896 6.8090944922 0.1351882782

33808319.407 994.6 0.9439086 6.9023406463 0.2055379311

31359387.279 1092 0.9734865 6.9957661563 0.1459743993

11579913.644 1199 0.9942141 7.089243155 0.0412869964

1316 1 7.1823521119Itera$* Itera$*180548171.43 6.1274396928

180548171.43 6.1274396928

Logo,

565.1942021 458.261367548

= "( )_

" )( (_) #

( "( (_) ) )#

#


43/48

Dimetro mdio u!er-ciedimetro

582.44531

Dimetro mdio $o#umedimetro

405546.31

636.82518

Dimetro mdio $o#umerea u!er"cia#

0 200 400 600 800 1000 1200

0.2

0.4

0.6

0.8

1

1.2"(

)_

#_

( ") ^

# #_


44/48

696.28221

Logo, temo/

/741868423718242/2.12378/5716476/36122/.0.0136/605016366

#_

#_ #_ #_ #_ #_ #_ #_


45/48

Mdia armica

Itera$*154 0 0.0064935 8.5242134*006

169 0.0013737 0.0059172 0.000003279

185.5 0.0019536 0.0053908 4.9436692*006203.7 0.0029136 0.0049092 1.5843766*005

223.65 0.0062916 0.0044713 3.6131490*005

245.45 0.014748 0.0040741 5.9015178*005

269.45 0.0299084 0.0037113 7.9985459*005

295.85 0.052467 0.0033801 0.0001091776

324.7 0.0862689 0.0030798 0.0001704077

356.45 0.1441794 0.0028054 0.0002790489

391.35 0.2482885 0.0025553 0.0004010132

429.65 0.4125462 0.0023275 0.00044581

471.65 0.6130142 0.0021202 0.0003598962517.75 0.7906683 0.0019314 0.0001865497

568.4 0.8917585 0.0017593 4.5829809*005

623.95 0.9190217 0.0016027 0

684.95 0.9190217 0.00146 0

751.9 0.9190217 0.00133 0

825.4 0.9190217 0.0012115 5.9823616*006

906.05 0.9241896 0.0011037 2.0794939*005

994.6 0.9439086 0.0010054 2.8412173*005

1092 0.9734865 0.0009158 1.8134385*005

1199 0.9942141 0.000834 4.6110909*006

1316 1 0.0007599Itera$*

0.0022833909

0.0022833909

Logo,

437.9451650407

= "( )_

" )( (_) #

;" )( (_

) #

1


46/48

1400


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