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1 velocidade(km/h) Economia (km/l) 16 4.2 40 9.2 64 10 88 10.7 112 8.6 a) 2 função x y 16 4.4303 40 8.4887 64 10.4735 88 10.3847 112 8.2223 b) 4 função x y 16 4.0867176 40 7.3545 64 2.1454056 88 -10.4788824 112 -36.6230424 c) Erro polinômio de 2 grau Erro polinômio de 4 grau R²= 0,9671 R²=1 d ) 100 km/h Economia 9.5627 km/l Velocidade x Economia 16 40 64 88 112 16 40 64 88 112 4.2 9.1999999999999993 10 10.7 8.6 Velocidade (km/h) Economia(km/l) Economia x Velocidade 16 40 64 88 112 16 40 64 88 112 4.2 9.1999999999999993 10 10.7 8.6 Velocidade (km/h) Economia (km/l) 2 x y Y= LN y X x^2 X*Y 1850 1.3 0.2623642645 1850 3422500 485.3738892649 1900 1.6 0.4700036292 1900 3610000 893.0068955669 1950 3 1.0986122887 1950 3802500 2142.2939629028 1980 4.4 1.4816045409 1980 3920400 2933.57699103 2000 6 1.7917594692 2000 4000000 3583.5189384561 2020 7.7 2.0412203289 2020 4080400 4123.2650642965 2030 8.140742 2.0968813307 2030 4120900 4256.669101222 SOMA 9.242445852 13730 26956700 18417.7048427391 População em bilhões em 2030 8.1407421055 bilhões OBS: professor, fiz de duas maneiras pois achei incoerente o ano 2030 ser menor que 2020, a população deveria aumentar, certo? Ano Tempo em anos População em bilhões 1850 0 1.3 1900 50 1.6 1950 100 3 1980 130 4.4 2000 150 6 2020 170 7.7 a1=m 0.0366 a0=ln(b) 1.4067752101 x y Y X 0 1.4067752101 0.3413 0 50 1.4067752101 0.3413 50 100 54.6691737836 4.0013 100 130 163.9071321408 5.0993 130 150 340.8014330823 5.8313 150 170 708.6062410706 6.5633 170 Ano x y Y (População em bilhões) 2030 180 1021.7784842895 6.9293 1850 1900 1950 1980 2000 2020 1.3 1.6 3 4.4000000000000004 6 7.7 Linearização 0 50 100 130 150 170 0 50 100 130 150 170 1.3 1.6 3 4.4000000000000004 6 7.7 0 50 100 130 150 170 0 50 100 130 150 170 Tempo(anos) População(milhões) 3 t distância velocidade 0 0 75 3 225 76.3 5 383 76.5 8 623 75.5 13 993 72 t velocidade 0 75 3 76.3 5 76.5 8 75.5 13 72 a) t(s) Velocidade t(s) Distância x y x y 10 74.564 10 767.1872 Velocidade em 10 s = 74,564 Distância em 10 s= 767,1872 b) Velocidade máxima do automóvel Intervalo t=3 a t=8 3 76.2321 3.1 76.251671 3.2 76.269984 3.3 76.287039 3.4 76.302836 3.5 76.317375 3.6 76.330656 3.7 76.342679 3.8 76.353444 3.9 76.362951 4 76.3712 4.1 76.378191 4.2 76.383924 4.3 76.388399 4.4 76.391616 4.5 76.393575 4.6 76.394276 4.7 76.393719 4.8 76.391904 4.9 76.388831 5 76.3845 5.1 76.378911 5.2 76.372064 5.3 76.363959 5.4 76.354596 5.5 76.343975 5.6 76.332096 5.7 76.318959 5.8 76.304564 5.9 76.288911 6 76.272 6.1 76.253831 6.2 76.234404 6.3 76.213719 6.4 76.191776 6.5 76.168575 6.6 76.144116 6.7 76.118399 6.8 76.091424 6.9 76.063191 7 76.0337 7.1 76.002951 7.2 75.970944 7.3 75.937679 7.4 75.903156 7.5 75.867375 7.6 75.830336 7.7 75.792039 7.8 75.752484 7.9 75.711671 8 75.6696 Distância X Tempo 0 3 5 8 13 0 225 383 623 993 Velocidade X Tempo 0 3 5 8 13 75 76.3 76.5 75.5 72 4 x de 0 a 5 *(2) h= 0.005 derivada de 10*cos(pi/10*x)= -pi*sen((pi/10)*x)) x f'(x) Integral Integral= 2*pi(integral de a a b) x*((1+(f'(x)^2))^1/2 0 0 0 0.005 0.0314003816 0.000078501 0.01 0.0628030524 0.0002355086 0.015 0.0942103014 0.0003925334 Área total= área do intervalo ( 0 a 5) *2 0.02 0.1256244169 0.0005495868 0.025 0.1570476863 0.0007066803 Área do intervalo 216.116167149 m² 0.03 0.1884823956 0.0008638252 0.035 0.2199308295 0.0010210331 Área total 432.232334298 m² 0.04 0.2513952705 0.0011783152 0.045 0.2828779991 0.0013356832 0.05 0.3143812931 0.0014931482 0.055 0.3459074278 0.0016507218 0.06 0.377458675 0.0018084153 0.065 0.4090373033 0.0019662399 0.07 0.4406455775 0.0021242072 0.075 0.4722857584 0.0022823283 0.08 0.5039601023 0.0024406147 0.085 0.5356708609 0.0025990774 0.09 0.5674202811 0.0027577279 0.095 0.5992106045 0.0029165772 0.1 0.631044067 0.0030756367 0.105 0.662922899 0.0032349174 0.11 0.6948493244 0.0033944306 0.115 0.7268255611 0.0035541872 0.12 0.7588538201 0.0037141985 0.125 0.7909363055 0.0038744753 0.13 0.8230752141 0.0040350288 0.135 0.8552727355 0.0041958699 0.14 0.8875310513 0.0043570095 0.145 0.919852335 0.0045184585 0.15 0.9522387521 0.0046802277 0.155 0.9846924594 0.004842328 0.16 1.0172156049 0.0050047702 0.165 1.0498103276 0.0051675648 0.17 1.0824787574 0.0053307227 0.175 1.1152230143 0.0054942544 0.18 1.1480452091 0.0056581706 0.185 1.1809474421 0.0058224816 0.19 1.2139318037 0.0059871981 0.195 1.2470003738 0.0061523304 0.2 1.2801552217 0.006317889 0.205 1.3133984058 0.0064838841 0.21 1.3467319735 0.0066503259 0.215 1.380157961 0.0068172248 0.22 1.4136783928 0.0069845909 0.225 1.4472952821 0.0071524342 0.23 1.4810106301 0.0073207648 0.235 1.5148264259 0.0074895926 0.24 1.5487446466 0.0076589277 0.245 1.5827672569 0.0078287798 0.25 1.6168962088 0.0079991587 0.255 1.6511334418 0.0081700741 0.26 1.6854808825 0.0083415358 0.265 1.7199404445 0.0085135533 0.27 1.7545140283 0.0086861362 0.275 1.7892035211 0.0088592939 0.28 1.8240107965 0.0090330358 0.285 1.8589377148 0.0092073713 0.29 1.8939861226 0.0093823096 0.295 1.9291578525 0.0095578599 0.3 1.9644547234 0.0097340314 0.305 1.99987854 0.0099108332 0.31 2.035431093 0.0100882741 0.315 2.0711141588 0.0102663631 0.32 2.1069294994 0.0104451091 0.325 2.1428788627 0.0106245209 0.33 2.1789639816 0.0108046071 0.335 2.2151865747 0.0109853764 0.34 2.251548346 0.0111668373 0.345 2.2880509846 0.0113489983 0.35 2.3246961649 0.0115318679 0.355 2.3614855462 0.0117154543 0.36 2.3984207733 0.0118997658 0.365 2.4355034755 0.0120848106 0.37 2.4727352675 0.0122705969 0.375 2.5101177487 0.0124571325 0.38 2.5476525035 0.0126444256 0.385 2.585341101 0.012832484 0.39 2.6231850952 0.0130213155 0.395 2.661186025 0.0132109278 0.4 2.6993454138 0.0134013286 0.405 2.73766477 0.0135925255 0.41 2.7761455866 0.0137845259 0.415 2.8147893414 0.0139773373 0.42 2.8535974967 0.0141709671 0.425 2.8925714998 0.0143654225 0.43 2.9317127825 0.0145607107 0.435 2.9710227614 0.0147568389 0.44 3.0105028377 0.014953814 0.445 3.0501543975 0.0151516431 0.45 3.0899788115 0.015350333 0.455 3.1299774353 0.0155498906 0.46 3.1701516091 0.0157503226 0.465 3.210502658 0.0159516357 0.47 3.2510318919 0.0161538364 0.475 3.2917406056 0.0163569312 0.48 3.3326300787 0.0165609267 0.485 3.3737015758 0.0167658291 0.49 3.4149563465 0.0169716448 0.495 3.4563956253 0.0171783799 0.5 3.4980206317 0.0173860406 0.505 3.5398325706 0.017594633 0.51 3.5818326316 0.017804163 0.515 3.6240219898 0.0180146366 0.52 3.6664018056 0.0182260595 0.525 3.7089732243 0.0184384376 0.53 3.7517373771 0.0186517765 0.535 3.7946953802 0.0188660819 0.54 3.8378483354 0.0190813593 0.545 3.8811973301 0.0192976142 0.55 3.9247434373 0.0195148519 0.555 3.9684877157 0.0197330779 0.56 4.0124312096 0.0199522973 0.565 4.0565749492 0.0201725154 0.57 4.1009199508 0.0203937373 0.575 4.1454672164 0.0206159679 0.58 4.190217734 0.0208392124 0.585 4.235172478 0.0210634755 0.59 4.2803324087 0.0212887622 0.595 4.3256984729 0.0215150772 0.6 4.3712716037 0.0217424252 0.605 4.4170527205 0.0219708108 0.61 4.4630427294 0.0222002386 0.615 4.509242523 0.0224307131 0.62 4.5556529807 0.0226622388 0.625 4.6022749686 0.0228948199 0.63 4.6491093396 0.0231284608 0.635 4.6961569336 0.0233631657 0.64 4.7434185777 0.0235989388 0.645 4.7908950859 0.0238357842 0.65 4.8385872596 0.0240737059 0.655 4.8864958874 0.0243127079 0.66 4.9346217453 0.0245527941 0.665 4.9829655969 0.0247939684 0.67 5.0315281933 0.0250362345 0.675 5.0803102733 0.0252795962 0.68 5.1293125635 0.0255240571 0.685 5.1785357782 0.0257696209 0.69 5.22798062 0.026016291 0.695 5.2776477793 0.026264071 0.7 5.32753793470.0265129643 0.705 5.377651753 0.0267629742 0.71 5.4279898894 0.0270141041 0.715 5.4785529875 0.0272663572 0.72 5.5293416796 0.0275197367 0.725 5.5803565863 0.0277742457 0.73 5.6315983172 0.0280298873 0.735 5.6830674705 0.0282866645 0.74 5.7347646334 0.0285445803 0.745 5.7866903822 0.0288036375 0.75 5.8388452821 0.0290638392 0.755 5.8912298876 0.0293251879 0.76 5.9438447426 0.0295876866 0.765 5.99669038 0.0298513378 0.77 6.0497673226 0.0301161443 0.775 6.1030760826 0.0303821085 0.78 6.1566171617 0.0306492331 0.785 6.2103910515 0.0309175205 0.79 6.2643982335 0.0311869732 0.795 6.318639179 0.0314575935 0.8 6.3731143494 0.0317293838 0.805 6.4278241963 0.0320023464 0.81 6.4827691612 0.0322764834 0.815 6.5379496763 0.0325517971 0.82 6.5933661639 0.0328282896 0.825 6.6490190369 0.033105963 0.83 6.7049086987 0.0333848193 0.835 6.7610355435 0.0336648606 0.84 6.817399956 0.0339460887 0.845 6.8740023119 0.0342285057 0.85 6.9308429779 0.0345121132 0.855 6.9879223115 0.0347969132 0.86 7.0452406614 0.0350829074 0.865 7.1027983675 0.0353700976 0.87 7.1605957609 0.0356584853 0.875 7.218633164 0.0359480723 0.88 7.2769108908 0.0362388601 0.885 7.3354292467 0.0365308503 0.89 7.3941885286 0.0368240444 0.895 7.4531890253 0.0371184439 0.9 7.5124310171 0.0374140501 0.905 7.5719147765 0.0377108645 0.91 7.6316405675 0.0380088884 0.915 7.6916086463 0.038308123 0.92 7.7518192613 0.0386085698 0.925 7.8122726528 0.0389102298 0.93 7.8729690535 0.0392131043 0.935 7.9339086884 0.0395171944 0.94 7.9950917748 0.0398225012 0.945 8.0565185225 0.0401290257 0.95 8.1181891339 0.0404367691 0.955 8.1801038038 0.0407457323 0.96 8.24226272 0.0410559163 0.965 8.3046660628 0.041367322 0.97 8.3673140054 0.0416799502 0.975 8.430206714 0.0419938018 0.98 8.4933443476 0.0423088777 0.985 8.5567270583 0.0426251785 0.99 8.6203549913 0.0429427051 0.995 8.6842282851 0.0432614582 1 8.7483470712 0.0435814384 1.005 8.8127114747 0.0439026464 1.01 8.8773216138 0.0442250827 1.015 8.9421776004 0.044548748 1.02 9.0072795397 0.0448736429 1.025 9.0726275305 0.0451997677 1.03 9.1382216654 0.045527123 1.035 9.2040620305 0.0458557092 1.04 9.2701487059 0.0461855268 1.045 9.3364817652 0.0465165762 1.05 9.4030612762 0.0468488576 1.055 9.4698873004 0.0471823714 1.06 9.5369598935 0.047517118 1.065 9.6042791052 0.0478530975 1.07 9.6718449793 0.0481903102 1.075 9.7396575537 0.0485287563 1.08 9.8077168607 0.048868436 1.085 9.8760229268 0.0492093495 1.09 9.9445757729 0.0495514967 1.095 10.0133754143 0.049894878 1.1 10.0824218608 0.0502394932 1.105 10.1517151165 0.0505853424 1.11 10.2212551804 0.0509324257 1.115 10.2910420459 0.0512807431 1.12 10.3610757012 0.0516302944 1.125 10.431356129 0.0519810796 1.13 10.5018833071 0.0523330986 1.135 10.572657208 0.0526863513 1.14 10.6436777989 0.0530408375 1.145 10.7149450422 0.0533965571 1.15 10.7864588951 0.0537535098 1.155 10.85821931 0.0541116955 1.16 10.9302262341 0.0544711139 1.165 11.00247961 0.0548317646 1.17 11.0749793753 0.0551936475 1.175 11.1477254629 0.0555567621 1.18 11.2207178009 0.0559211082 1.185 11.2939563128 0.0562866853 1.19 11.3674409172 0.0566534931 1.195 11.4411715284 0.0570215311 1.2 11.515148056 0.057390799 1.205 11.5893704051 0.0577612962 1.21 11.6638384762 0.0581330222 1.215 11.7385521656 0.0585059766 1.22 11.8135113649 0.0588801588 1.225 11.8887159617 0.0592555683 1.23 11.9641658391 0.0596322045 1.235 12.0398608758 0.0600100668 1.24 12.1158009464 0.0603891546 1.245 12.1919859214 0.0607694672 1.25 12.2684156669 0.061151004 1.255 12.3450900452 0.0615337643 1.26 12.4220089141 0.0619177474 1.265 12.4991721278 0.0623029526 1.27 12.5765795362 0.0626893792 1.275 12.6542309852 0.0630770263 1.28 12.732126317 0.0634658933 1.285 12.8102653698 0.0638559792 1.29 12.8886479777 0.0642472834 1.295 12.9672739713 0.0646398049 1.3 13.0461431773 0.0650335429 1.305 13.1252554185 0.0654284965 1.31 13.2046105141 0.0658246648 1.315 13.2842082795 0.066222047 1.32 13.3640485266 0.066620642 1.325 13.4441310635 0.067020449 1.33 13.5244556948 0.0674214669 1.335 13.6050222214 0.0678236948 1.34 13.6858304408 0.0682271317 1.345 13.7668801469 0.0686317765 1.35 13.8481711301 0.0690376282 1.355 13.9297031774 0.0694446858 1.36 14.0114760724 0.0698529481 1.365 14.0934895953 0.0702624142 1.37 14.1757435229 0.0706730828 1.375 14.2582376285 0.0710849529 1.38 14.3409716824 0.0714980233 1.385 14.4239454515 0.0719122928 1.39 14.5071586993 0.0723277604 1.395 14.5906111862 0.0727444247 1.4 14.6743026694 0.0731622846 1.405 14.7582329029 0.0735813389 1.41 14.8424016375 0.0740015864 1.415 14.926808621 0.0744230256 1.42 15.011453598 0.0748456555 1.425 15.0963363101 0.0752694748 1.43 15.1814564956 0.075694482 1.435 15.2668138902 0.076120676 1.44 15.3524082262 0.0765480553 1.445 15.4382392331 0.0769766186 1.45 15.5243066375 0.0774063647 1.455 15.6106101629 0.077837292 1.46 15.6971495301 0.0782693992 1.465 15.7839244568 0.078702685 1.47 15.870934658 0.0791371478 1.475 15.9581798457 0.0795727863 1.48 16.0456597291 0.0800095989 1.485 16.1333740149 0.0804475844 1.49 16.2213224065 0.0808867411 1.495 16.309504605 0.0813270675 1.5 16.3979203086 0.0817685623 1.505 16.4865692126 0.0822112238 1.51 16.5754510099 0.0826550506 1.515 16.6645653905 0.083100041 1.52 16.7539120419 0.0835461936 1.525 16.8434906489 0.0839935067 1.53 16.9333008935 0.0844419789 1.535 17.0233424555 0.0848916084 1.54 17.1136150117 0.0853423937 1.545 17.2041182367 0.0857943331 1.55 17.2948518022 0.0862474251 1.555 17.3858153776 0.0867016679 1.56 17.4770086297 0.08715706 1.565 17.568431223 0.0876135996 1.57 17.6600828192 0.0880712851 1.575 17.7519630778 0.0885301147 1.58 17.8440716558 0.0889900868 1.585 17.9364082076 0.0894511997 1.59 18.0289723855 0.0899134515 1.595 18.1217638392 0.0903768406 1.6 18.214782216 0.0908413651 1.605 18.308027161 0.0913070234 1.61 18.4014983169 0.0917738137 1.615 18.495195324 0.0922417341 1.62 18.5891178202 0.0927107829 1.625 18.6832654415 0.0931809582 1.63 18.7776378211 0.0936522582 1.635 18.8722345904 0.094124681 1.64 18.9670553782 0.0945982249 1.645 19.0620998113 0.095072888 1.65 19.1573675141 0.0955486683 1.655 19.2528581089 0.0960255641 1.66 19.3485712158 0.0965035733 1.665 19.4445064526 0.0969826942 1.67 19.5406634351 0.0974629247 1.675 19.6370417769 0.097944263 1.68 19.7336410894 0.0984267072 1.685 19.8304609818 0.0989102552 1.69 19.9275010615 0.0993949051 1.695 20.0247609335 0.099880655 1.7 20.1222402008 0.1003675028 1.705 20.2199384643 0.1008554467 1.71 20.317855323 0.1013444845 1.715 20.4159903735 0.1018346142 1.72 20.5143432108 0.102325834 1.725 20.6129134276 0.1028181416 1.73 20.7117006145 0.1033115351 1.735 20.8107043605 0.1038060124 1.74 20.9099242522 0.1043015715 1.745 21.0093598743 0.1047982103 1.75 21.1090108098 0.1052959267 1.755 21.2088766394 0.1057947186 1.76 21.3089569422 0.106294584 1.765 21.409251295 0.1067955206 1.77 21.5097592729 0.1072975264 1.775 21.6104804491 0.1078005993 1.78 21.7114143948 0.1083047371 1.785 21.8125606794 0.1088099377 1.79 21.9139188704 0.1093161989 1.795 22.0154885333 0.1098235185 1.8 22.117269232 0.1103318944 1.805 22.2192605284 0.1108413244 1.81 22.3214619825 0.1113518063 1.815 22.4238731526 0.1118633378 1.82 22.5264935951 0.1123759169 1.825 22.6293228646 0.1128895411 1.83 22.7323605139 0.1134042084 1.835 22.8356060942 0.1139199165 1.84 22.9390591546 0.1144366631 1.845 23.0427192427 0.114954446 1.85 23.1465859042 0.1154732629 1.855 23.250658683 0.1159931115 1.86 23.3549371214 0.1165139895 1.865 23.45942076 0.1170358947 1.87 23.5641091374 0.1175588247 1.875 23.6690017908 0.1180827773 1.88 23.7740982556 0.1186077501 1.885 23.8793980654 0.1191337408 1.89 23.9849007522 0.119660747 1.895 24.0906058463 0.1201887665 1.9 24.1965128763 0.1207177968 1.905 24.3026213693 0.1212478356 1.91 24.4089308505 0.1217788805 1.915 24.5154408436 0.1223109292 1.92 24.6221508706 0.1228439793 1.925 24.7290604520.1233780283 1.93 24.8361691065 0.1239130739 1.935 24.9434763514 0.1244491136 1.94 25.0509817021 0.1249861451 1.945 25.1586846727 0.1255241659 1.95 25.2665847756 0.1260631736 1.955 25.3746815214 0.1266031657 1.96 25.4829744195 0.1271441399 1.965 25.5914629776 0.1276860935 1.97 25.7001467016 0.1282290242 1.975 25.8090250962 0.1287729295 1.98 25.9180976644 0.1293178069 1.985 26.0273639076 0.1298636539 1.99 26.1368233258 0.1304104681 1.995 26.2464754174 0.1309582469 2 26.3563196792 0.1315069877 2.005 26.4663556067 0.1320566882 2.01 26.5765826937 0.1326073458 2.015 26.6870004327 0.1331589578 2.02 26.7976083145 0.1337115219 2.025 26.9084058286 0.1342650354 2.03 27.0193924629 0.1348194957 2.035 27.130567704 0.1353749004 2.04 27.2419310367 0.1359312469 2.045 27.3534819447 0.1364885325 2.05 27.4652199101 0.1370467546 2.055 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2.91 28.0953225 2.915 28.1428675 2.92 28.19041 2.925 28.23795 2.93 28.2854875 2.935 28.3330225 2.94 28.380555 2.945 28.428085 2.95 28.4756125 2.955 28.5231375 2.96 28.57066 2.965 28.61818 2.97 28.6656975 2.975 28.7132125 2.98 28.760725 2.985 28.808235 2.99 28.8557425 2.995 28.9032475 3 28.95075 3.005 28.99825 3.01 29.0457475 3.015 29.0932425 3.02 29.140735 3.025 29.188225 3.03 29.2357125 3.035 29.2831975 3.04 29.33068 3.045 29.37816 3.05 29.4256375 3.055 29.4731125 3.06 29.520585 3.065 29.568055 3.07 29.6155225 3.075 29.6629875 3.08 29.71045 3.085 29.75791 3.09 29.8053675 3.095 29.8528225 3.1 29.900275 3.105 29.947725 3.11 29.9951725 3.115 30.0426175 3.12 30.09006 3.125 30.1375 3.13 30.1849375 3.135 30.2323725 3.14 30.279805 3.145 30.327235 3.15 30.3746625 3.155 30.4220875 3.16 30.46951 3.165 30.51693 3.17 30.5643475 3.175 30.6117625 3.18 30.659175 3.185 30.706585 3.19 30.7539925 3.195 30.8013975 3.2 30.8488 3.205 30.8962 3.21 30.9435975 3.215 30.9909925 3.22 31.038385 3.225 31.085775 3.23 31.1331625 3.235 31.1805475 3.24 31.22793 3.245 31.27531 3.25 31.3226875 3.255 31.3700625 3.26 31.417435 3.265 31.464805 3.27 31.5121725 3.275 31.5595375 3.28 31.6069 3.285 31.65426 3.29 31.7016175 3.295 31.7489725 3.3 31.796325 3.305 31.843675 3.31 31.8910225 3.315 31.9383675 3.32 31.98571 3.325 32.03305 3.33 32.0803875 3.335 32.1277225 3.34 32.175055 3.345 32.222385 3.35 32.2697125 3.355 32.3170375 3.36 32.36436 3.365 32.41168 3.37 32.4589975 3.375 32.5063125 3.38 32.5536253.385 32.600935 3.39 32.6482425 3.395 32.6955475 3.4 32.74285 3.405 32.79015 3.41 32.8374475 3.415 32.8847425 3.42 32.932035 3.425 32.979325 3.43 33.0266125 3.435 33.0738975 3.44 33.12118 3.445 33.16846 3.45 33.2157375 3.455 33.2630125 3.46 33.310285 3.465 33.357555 3.47 33.4048225 3.475 33.4520875 3.48 33.49935 3.485 33.54661 3.49 33.5938675 3.495 33.6411225 3.5 33.688375 3.505 33.735625 3.51 33.7828725 3.515 33.8301175 3.52 33.87736 3.525 33.9246 3.53 33.9718375 3.535 34.0190725 3.54 34.066305 3.545 34.113535 3.55 34.1607625 3.555 34.2079875 3.56 34.25521 3.565 34.30243 3.57 34.3496475 3.575 34.3968625 3.58 34.444075 3.585 34.491285 3.59 34.5384925 3.595 34.5856975 3.6 34.6329 3.605 34.6801 3.61 34.7272975 3.615 34.7744925 3.62 34.821685 3.625 34.868875 3.63 34.9160625 3.635 34.9632475 3.64 35.01043 3.645 35.05761 3.65 35.1047875 3.655 35.1519625 3.66 35.199135 3.665 35.246305 3.67 35.2934725 3.675 35.3406375 3.68 35.3878 3.685 35.43496 3.69 35.4821175 3.695 35.5292725 3.7 35.576425 3.705 35.623575 3.71 35.6707225 3.715 35.7178675 3.72 35.76501 3.725 35.81215 3.73 35.8592875 3.735 35.9064225 3.74 35.953555 3.745 36.000685 3.75 36.0478125 3.755 36.0949375 3.76 36.14206 3.765 36.18918 3.77 36.2362975 3.775 36.2834125 3.78 36.330525 3.785 36.377635 3.79 36.4247425 3.795 36.4718475 3.8 36.51895 3.805 36.56605 3.81 36.6131475 3.815 36.6602425 3.82 36.707335 3.825 36.754425 3.83 36.8015125 3.835 36.8485975 3.84 36.89568 3.845 36.94276 3.85 36.9898375 3.855 37.0369125 3.86 37.083985 3.865 37.131055 3.87 37.1781225 3.875 37.2251875 3.88 37.27225 3.885 37.31931 3.89 37.3663675 3.895 37.4134225 3.9 37.460475 3.905 37.507525 3.91 37.5545725 3.915 37.6016175 3.92 37.64866 3.925 37.6957 3.93 37.7427375 3.935 37.7897725 3.94 37.836805 3.945 37.883835 3.95 37.9308625 3.955 37.9778875 3.96 38.02491 3.965 38.07193 3.97 38.1189475 3.975 38.1659625 3.98 38.212975 3.985 38.259985 3.99 38.3069925 3.995 38.3539975 4 38.401 4.005 38.448 4.01 38.4949975 4.015 38.5419925 4.02 38.588985 4.025 38.635975 4.03 38.6829625 4.035 38.7299475 4.04 38.77693 4.045 38.82391 4.05 38.8708875 4.055 38.9178625 4.06 38.964835 4.065 39.011805 4.07 39.0587725 4.075 39.1057375 4.08 39.1527 4.085 39.19966 4.09 39.2466175 4.095 39.2935725 4.1 39.340525 4.105 39.387475 4.11 39.4344225 4.115 39.4813675 4.12 39.52831 4.125 39.57525 4.13 39.6221875 4.135 39.6691225 4.14 39.716055 4.145 39.762985 4.15 39.8099125 4.155 39.8568375 4.16 39.90376 4.165 39.95068 4.17 39.9975975 4.175 40.0445125 4.18 40.091425 4.185 40.138335 4.19 40.1852425 4.195 40.2321475 4.2 40.27905 4.205 40.32595 4.21 40.3728475 4.215 40.4197425 4.22 40.466635 4.225 40.513525 4.23 40.5604125 4.235 40.6072975 4.24 40.65418 4.245 40.70106 4.25 40.7479375 4.255 40.7948125 4.26 40.841685 4.265 40.888555 4.27 40.9354225 4.275 40.9822875 4.28 41.02915 4.285 41.07601 4.29 41.1228675 4.295 41.1697225 4.3 41.216575 4.305 41.263425 4.31 41.3102725 4.315 41.3571175 4.32 41.40396 4.325 41.4508 4.33 41.4976375 4.335 41.5444725 4.34 41.591305 4.345 41.638135 4.35 41.6849625 4.355 41.7317875 4.36 41.77861 4.365 41.82543 4.37 41.8722475 4.375 41.9190625 4.38 41.965875 4.385 42.012685 4.39 42.0594925 4.395 42.1062975 4.4 42.1531 4.405 42.1999 4.41 42.2466975 4.415 42.2934925 4.42 42.340285 4.425 42.387075 4.43 42.4338625 4.435 42.4806475 4.44 42.52743 4.445 42.57421 4.45 42.6209875 4.455 42.6677625 4.46 42.714535 4.465 42.761305 4.47 42.8080725 4.475 42.8548375 4.48 42.9016 4.485 42.94836 4.49 42.9951175 4.495 43.0418725 4.5 43.088625 4.505 43.135375 4.51 43.1821225 4.515 43.2288675 4.52 43.27561 4.525 43.32235 4.53 43.3690875 4.535 43.4158225 4.54 43.462555 4.545 43.509285 4.55 43.5560125 4.555 43.6027375 4.56 43.64946 4.565 43.69618 4.57 43.7428975 4.575 43.7896125 4.58 43.836325 4.585 43.883035 4.59 43.9297425 4.595 43.9764475 4.6 44.02315 4.605 44.06985 4.61 44.1165475 4.615 44.1632425 4.62 44.209935 4.625 44.256625 4.63 44.3033125 4.635 44.3499975 4.64 44.39668 4.645 44.44336 4.65 44.4900375 4.655 44.5367125 4.66 44.583385 4.665 44.630055 4.67 44.6767225 4.675 44.7233875 4.68 44.77005 4.685 44.81671 4.69 44.8633675 4.695 44.9100225 4.7 44.956675 4.705 45.003325 4.71 45.0499725 4.715 45.0966175 4.72 45.14326 4.725 45.1899 4.73 45.2365375 4.735 45.2831725 4.74 45.329805 4.745 45.376435 4.75 45.4230625 4.755 45.4696875 4.76 45.51631 4.765 45.56293 4.77 45.6095475 4.775 45.6561625 4.78 45.702775 4.785 45.749385 4.79 45.7959925 4.795 45.8425975 4.8 45.8892 4.805 45.9358 4.81 45.9823975 4.815 46.0289925 4.82 46.075585 4.825 46.122175 4.83 46.1687625 4.835 46.2153475 4.84 46.26193 4.845 46.30851 4.85 46.3550875 4.855 46.4016625 4.86 46.448235 4.865 46.494805 4.87 46.5413725 4.875 46.5879375 4.88 46.6345 4.885 46.68106 4.89 46.7276175 4.895 46.7741725 4.9 46.820725 4.905 46.867275 4.91 46.9138225 4.915 46.9603675 4.92 47.00691 4.925 47.05345 4.93 47.0999875 4.935 47.1465225 4.94 47.193055 4.945 47.239585 4.95 47.2861125 4.955 47.3326375 4.96 47.37916 4.965 47.42568 4.97 47.4721975 4.975 47.5187125 4.98 47.565225 4.985 47.611735 4.99 47.6582425 4.995 47.7047475 5 47.75125 dv/dt 0 5.0000000000000001E-3 0.01 1.4999999999999999E-2 0.02 2.5000000000000001E-2 0.03 3.5000000000000003E-2 0.04 4.4999999999999998E-2 0.05 5.5E-2 0.06 6.5000000000000002E-2 7.0000000000000007E-2 7.4999999999999997E-2 0.08 8.5000000000000006E-2 0.09 9.5000000000000001E-2 0.1 0.105 0.11 0.115 0.12 0.125 0.13 0.13500000000000001 0.14000000000000001 0.14499999999999999 0.15 0.155 0.16 0.16500000000000001 0.17 0.17499999999999999 0.18 0.185 0.19 0.19500000000000001 0.2 0.20499999999999999 0.21 0.215 0.22 0.22500000000000001 0.23 0.23499999999999999 0.24 0.245 0.25 0.255 0.26 0.26500000000000001 0.27 0.27500000000000002 0.28000000000000003 0.28499999999999998 0.28999999999999998 0.29499999999999998 0.3 0.30499999999999999 0.31 0.315 0.32 0.32500000000000001 0.33 0.33500000000000002 0.34 0.34499999999999997 0.35 0.35499999999999998 0.36 0.36499999999999999 0.37 0.375 0.38 0.38500000000000001 0.39 0.39500000000000002 0.4 0.40500000000000003 0.41 0.41499999999999998 0.42 0.42499999999999999 0.43 0.435 0.44 0.44500000000000001 0.45 0.45500000000000002 0.46 0.46500000000000002 0.47 0.47499999999999998 0.48 0.48499999999999999 0.49 0.495 0.5 0.505 0.51 0.51500000000000001 0.52 0.52500000000000002 0.53 0.53500000000000003 0.54 0.54500000000000004 0.55000000000000004 0.55500000000000005 0.56000000000000005 0.56499999999999995 0.56999999999999995 0.57499999999999996 0.57999999999999996 0.58499999999999996 0.59 0.59499999999999997 0. 6 0.60499999999999998 0.61 0.61499999999999999 0.62 0.625 0.63 0.63500000000000001 0.64 0.64500000000000002 0.65 0.65500000000000003 0.66 0.66500000000000004 0.67 0.67500000000000004 0.68 0.68500000000000005 0.69 0.69499999999999995 0.7 0.70499999999999996 0.71 0.71499999999999997 0.72 0.72499999999999998 0.73 0.73499999999999999 0.74 0.745 0.75 0.755 0.76 0.76500000000000001 0.77 0.77500000000000002 0.78 0.78500000000000003 0.79 0.79500000000000004 0.8 0.80500000000000005 0.81 0.81499999999999995 0.82 0.82499999999999996 0. 83 0.83499999999999996 0.84 0.84499999999999997 0.85 0.85499999999999998 0.86 0.86499999999999999 0.87 0.875 0.88 0.88500000000000001 0.89 0.89500000000000002 0.9 0.90500000000000003 0.91 0.91500000000000004 0.92 0.92500000000000004 0.93 0.93500000000000005 0.94 0.94499999999999995 0.95 0.95499999999999996 0.96 0.96499999999999997 0.97 0.974999999999999980.98 0.98499999999999999 0.99 0.995 1 1.0049999999999999 1.01 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