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[null,null,"The Logistic Growth Curve"]
["Name:","Jane Smyth"]
["Date:","5007-03-04"]
["Assignment:","XL World Population"]
[]
["Initial Population","Po(billions)=",2.52,2.52,2.52]
["Carrying Capacity","Pmax(billions)=",100,100,100]
["initial growth rate","r(%/yr)=",10,5,20]
[]
[null,"Year","Population","Population","Population"]
[null,1950,2.52,2.52,2.52,"Year","pop growth","pop growth","pop growth"]
[null,1951,2.7776690374805226,2.6457847253198006,3.060857357578798,1950.5,0.2576690374805226,0.12578472531980056,0.540857357578798]
[null,1952,3.060857357578798,2.7776690374805226,3.7133747369932895,1951.5,0.28318832009827544,0.13188431216072205,0.6525173794144914]
[null,1953,3.3719158943456606,2.915930477179582,4.498541324964884,1952.5,0.31105853676686257,0.13826143969905935,0.7851665879715943]
[null,1954,3.7133747369932895,3.060857357578798,5.440345514260772,1953.5,0.3414588426476288,0.14492688039921608,0.9418041892958886]
[null,1955,4.087948731907145,3.2127489903118103,6.565767850130448,1954.5,0.3745739949138551,0.1518916327330122,1.1254223358696755]
[null,1956,4.498541324964884,3.3719158943456606,7.904540310241916,1955.5,0.4105925930577392,0.15916690403385036,1.3387724601114677]
[null,1957,4.948246115817662,3.53867998460561,9.488569119736052,1956.5,0.4497047908527785,0.16676409025994943,1.5840288094941366]
[null,1958,5.440345514260772,3.7133747369932895,11.350905202427615,1957.5,0.4920993984431101,0.1746947523876794,1.862336082691563]
[null,1959,5.97830580553472,3.8963453261366534,13.524148605877137,1958.5,0.5379602912739472,0.18297058914336395,2.173243403449522]
[null,1960,6.565767850130448,4.087948731907145,16.03820309150758,1959.5,0.5874620445957284,0.19160340577049118,2.5140544856304423]
[null,1961,7.206532569636486,4.288553810426531,18.917368210038916,1960.5,0.6407647195060377,0.20060507851938603,2.8791651185313363]
[null,1962,7.904540310241916,4.498541324964884,22.176878744951523,1961.5,0.6980077406054299,0.20998751453835318,3.2595105349126072]
[null,1963,8.663843138422674,4.718303931804765,25.819173724978366,1962.5,0.7593028281807586,0.2197626068398808,3.6422949800268434]
[null,1964,9.488569119736052,4.948246115817662,29.830375589596596,1963.5,0.824725981313378,0.22994218401289768,4.011201864618229]
[null,1965,10.382877674002856,5.188784070170912,34.17763194453465,1964.5,0.8943085542668037,0.24053795435324954,4.347256354938057]
[null,1966,11.350905202427615,5.440345514260772,38.808040936781694,1965.5,0.9680275284247593,0.2515614440898606,4.630408992247041]
[null,1967,12.396700359158006,5.703369443655292,43.64976955212817,1966.5,1.0457951567303905,0.26302392939452,4.841728615346476]
[null,1968,13.524148605877137,5.97830580553472,48.61564571894075,1967.5,1.1274482467191316,0.27493636187942716,4.965876166812578]
[null,1969,14.736886055808853,6.265615092844125,53.60900455709377,1968.5,1.2127374499317156,0.2873092873094052,4.993358838153021]
[null,1970,16.03820309150758,6.565767850130448,58.531031663206356,1969.5,1.3013170356987267,0.3001527572863232,4.922027106112587]
[null,1971,17.43093883085414,6.879244083832404,63.28845567296625,1970.5,1.3927357393465591,0.3134762337019561,4.7574240097598945]
[null,1972,18.917368210038916,7.206532569636486,67.80034778448692,1971.5,1.4864293791847771,0.32728848580408165,4.511892111520666]
[null,1973,20.49908423066052,7.548130049415767,72.00302518885813,1972.5,1.5817160206216059,0.34159747977928134,4.202677404371215]
[null,1974,22.176878744951523,7.904540310241916,75.85253411987584,1973.5,1.6777945142910013,0.3564102608261486,3.8495089310177093]
[null,1975,23.950625976479188,8.276273138016908,79.32473064120653,1974.5,1.7737472315276648,0.3717328277749923,3.4721965213306873]
[null,1976,25.819173724978366,8.663843138422674,82.41341269846693,1975.5,1.8685477484991786,0.3875700004057663,3.0886820572603995]
[null,1977,27.780247801092358,9.067768418147896,85.12718867640555,1976.5,1.9610740761139915,0.40392527972522174,2.7137759779386244]
[null,1978,29.830375589596596,9.488569119736052,87.48579099881646,1977.5,2.0501277885042377,0.4208007015881563,2.3586023224109027]
[null,1979,31.964834658979623,9.926765803922228,89.5164183505669,1978.5,2.134459069383027,0.43819668418617574,2.0306273517504394]
[null,1980,34.17763194453465,10.382877674002856,91.25049805787178,1979.5,2.2127972855550304,0.4561118700806279,1.7340797073048861]
[null,1981,36.46151818088096,10.857420637627403,92.72106869786137,1980.5,2.283886236346305,0.47454296362454684,1.4705706399895888]
[null,1982,38.808040936781694,11.350905202427615,93.96083150233436,1981.5,2.346522755900736,0.4934845648002124,1.2397628044729885]
[null,1983,41.20763784861927,11.863834203121636,95.00082023085555,1982.5,2.399596911837577,0.5129290006940206,1.0399887285211946]
[null,1984,43.64976955212817,12.396700359158006,95.8695880912322,1983.5,2.442131703508899,0.5328661560363699,0.86876786037665]
[null,1985,46.123089520619466,12.949983663607705,96.59279443181293,1984.5,2.473319968491296,0.5532833044496996,0.723206340580731]
[null,1986,48.61564571894075,13.524148605877137,97.19307987462984,1985.5,2.4925561983212816,0.5741649422694319,0.6002854428169115]
[null,1987,51.11510688469036,14.11964123290387,97.69013538912954,1986.5,2.499461165749615,0.5954926270267329,0.4970555144996922]
[null,1988,53.60900455709377,14.736886055808853,98.10089109777475,1987.5,2.4938976724034063,0.6172448229049827,0.4107557086452118]
[null,1989,56.084980863641995,15.376282811506764,98.43977004605523,1988.5,2.475976306548226,0.639396755697911,0.33887894828048104]
[null,1990,58.531031663206356,16.03820309150758,98.71896872027669,1989.5,2.446050799564361,0.6619202800008157,0.27919867422146183]
[null,1991,60.935734976342225,16.722986853059055,98.94873914624606,1990.5,2.404703313135869,0.6847837615514756,0.22977042596936315]
[null,1992,63.28845567296625,17.43093883085414,99.13765711803495,1991.5,2.3527206966240257,0.7079519777950836,0.18891797178889647]
[null,1993,65.57951902368248,18.1623248707266,99.29286800065015,1992.5,2.291063350716229,0.7313860398724614,0.15521088261519367]
[null,1994,67.80034778448692,18.917368210038916,99.42030622671912,1993.5,2.2208287608044373,0.7550433393123157,0.1274382260689748]
[null,1995,69.9435597720908,19.696245732778277,99.52488762926201,1994.5,2.143211987603877,0.7788775227393607,0.10458140254289106]
[null,1996,72.00302518885813,20.49908423066052,99.6106755920305,1995.5,2.0594654167673383,0.8028384978822452,0.08578796276849232]
[null,1997,73.97388508194642,21.325956704728945,99.68102302411043,1996.5,1.9708598930882886,0.8268724740684235,0.07034743207992733]
[null,1998,75.85253411987584,22.176878744951523,99.73869265053445,1997.5,1.8786490379294207,0.8509220402225779,0.05766962642401552]
[null,1999,77.63657224231373,23.051805028082757,99.7859582518614,1998.5,1.7840381224378916,0.8749262831312343,0.047265601326955675]
[null,2000,79.32473064120653,23.950625976479188,99.8246894192772,1999.5,1.6881583988927957,0.8988209483964305,0.03873116741580418]
[null,2001,80.91677796990295,24.873164622548263,99.85642220947338,2000.5,1.5920473286964238,0.922538646069075,0.031732790196173255]
[null,2002,82.41341269846693,25.819173724978366,99.88241784522546,2001.5,1.4966347285639756,0.9460091024301036,0.02599563575208208]
[null,2003,83.81614721235053,26.78833318375144,99.90371135088266,2002.5,1.4027345138836012,0.9691594587730741,0.021293505657197898]
[null,2004,85.12718867640555,27.780247801092358,99.92115175948861,2003.5,1.3110414640550232,0.9919146173409175,0.017440408605949642]
[null,2005,86.34932094736914,28.79444543488327,99.93543529258781,2004.5,1.2221322709635842,1.0141976337909107,0.014283533099202828]
[null,2006,87.48579099881646,29.830375589596596,99.94713270110316,2005.5,1.1364700514473185,1.035930154713327,0.011697408515345842]
[null,2007,88.54020249326754,30.887408487425585,99.95671176815644,2006.5,1.054411494451088,1.0570328978289893,0.00957906705328071]
[null,2008,89.5164183505669,31.964834658979623,99.96455581209986,2007.5,0.9762158572993513,1.0774261715540376,0.007844043943421752]
[null,2009,90.4184734570151,33.06186508864834,99.9709788887589,2008.5,0.9020551064482021,1.0970304296687168,0.006423076659046956]
[null,2010,91.25049805787178,34.17763194453465,99.97623827372074,2009.5,0.8320246008566841,1.1157668558863136,0.00525938496183187]
[null,2011,92.0166518857232,35.31118991674607,99.98054470595689,2010.5,0.7661538278514257,1.1335579722114204,0.004306432236148794]
[null,2012,92.72106869786137,36.46151818088096,99.98407079068981,2011.5,0.7044168121381631,1.1503282641348846,0.003526084732925483]
[null,2013,93.3678106193202,37.627522995843016,99.98695788987776,2012.5,0.6467419214588261,1.1660048149620579,0.0028870991879443864]
[null,2014,93.96083150233436,38.808040936781694,99.9893217709103,2013.5,0.5930208830141623,1.1805179409386781,0.0023638810325365966]
[null,2015,94.50394840338208,40.00184275513571,99.9912572362279,2014.5,0.5431169010477248,1.193801818354018,0.0019354653176009151]
[null,2016,95.00082023085555,41.20763784861927,99.992841916992,2015.5,0.4968718274734698,1.2057950934835588,0.0015846807641111127]
[null,2017,95.45493261568045,42.424079314725056,99.99413938126438,2016.5,0.4541123848248958,1.2164414661057847,0.0012974642723690977]
[null,2018,95.8695880912322,43.64976955212817,99.99520168023413,2017.5,0.4146554755517542,1.2256902374031142,0.0010622989697566254]
[null,2019,96.24790072681044,44.88326636547236,99.99607143387439,2018.5,0.37831263557824,1.233496813344189,0.0008697536402593187]
[null,2020,96.59279443181293,46.123089520619466,99.99678353919214,2019.5,0.34489370500249095,1.239823155147107,0.0007121053177456815]
[null,2021,96.90700422851421,47.367727689752314,99.99736656926645,2020.5,0.31420979670127736,1.2446381691328483,0.0005830300743099315]
[null,2022,97.19307987462984,48.61564571894075,99.99784391898007,2021.5,0.2860756461156342,1.2479180291884333,0.0004773497136199012]
[null,2023,97.45339129870693,49.86529214508445,99.99823474326367,2022.5,0.26031142407708785,1.2496464261437055,0.000390824283599045]
[null,2024,97.69013538912954,51.11510688469036,99.9985547253982,2023.5,0.23674409042260436,1.2498147396059096,0.0003199821345276632]
[null,2025,97.9053437494387,52.36352901384539,99.99881670613684,2024.5,0.21520836030916257,1.2484221291550242,0.0002619807386423645]
[null,2026,98.10089109777475,53.60900455709377,99.99903119884625,2025.5,0.19554734833604925,1.2454755432483822,0.00021449270941786835]
[null,2027,98.27850404615923,54.849994202766254,99.99920681130887,2026.5,0.1776129483844784,1.2409896456724852,0.00017561246261266206]
[null,2028,98.43977004605523,56.084980863641995,99.99935059109184,2027.5,0.16126599989600265,1.234986660875741,0.00014377978297375194]
[null,2029,98.58614633047138,57.31247700461455,99.99946830832968,2028.5,0.14637628441614936,1.2274961409725549,0.00011771723784193]
[null,2030,98.71896872027669,58.531031663206356,99.99956468725881,2029.5,0.13282238980531247,1.2185546585918061,9.637892912905954e-05]
[null,2031,98.83946019394234,59.739237094215724,99.99964359579035,2030.5,0.12049147366565194,1.2082054310093682,7.890853153469379e-05]
[null,2032,98.94873914624606,60.935734976342225,99.99970820072451,2031.5,0.10927895230371121,1.1964978821265007,6.460493416682311e-05]
[null,2033,99.04782728318293,62.11922212614657,99.99976109483308,2032.5,0.0990881369368708,1.1834871498043427,5.289410856335053e-05]
[null,2034,99.13765711803495,63.28845567296625,99.99980440090805,2033.5,0.08982983485202567,1.169233546819683,4.330607497138317e-05]
[null,2035,99.21907904781568,64.44225765722014,99.99983985695138,2034.5,0.08142192978073126,1.1538019842538887,3.545604333510255e-05]
[null,2036,99.29286800065015,65.57951902368248,99.99986888592312,2035.5,0.0737889528344624,1.13726136646234,2.9028971738398468e-05]
[null,2037,99.35972965353093,66.69920299057229,99.9998926528476,2036.5,0.06686165288078882,1.1196839668898093,2.3766924485357777e-05]
[null,2038,99.42030622671912,67.80034778448692,99.99991211156797,2037.5,0.06057657318818599,1.101144793914628,1.9458720359466497e-05]
[null,2039,99.47518186618964,68.88206874011159,99.99992804302639,2038.5,0.05487563947052365,1.0817209556246752,1.5931458420936906e-05]
[null,2040,99.52488762926201,69.9435597720908,99.99994108660512,2039.5,0.049705763072367404,1.0614910319792017,1.3043578732663264e-05]
[null,2041,99.56990609116988,70.98409423429726,99.99995176578669,2040.5,0.04501846190787262,1.040534462206466,1.0679181571049412e-05]
[null,2042,99.6106755920305,72.00302518885813,99.99996050916276,2041.5,0.0407695008606197,1.0189309545608722,8.743376071151943e-06]
[null,2043,99.64759414466076,72.999785113596,99.99996766763478,2042.5,0.03691855263025445,0.9967599247378729,7.15847201604447e-06]
[null,2044,99.68102302411043,73.97388508194642,99.99997352849671,2043.5,0.03342887944967288,0.9740999683504157,5.860861932660555e-06]
[null,2045,99.711290059766,74.92491345388017,99.99997832696513,2044.5,0.03026703565556943,0.9510283719337451,4.798468424382918e-06]
[null,2046,99.73869265053445,75.85253411987584,99.99998225561916,2045.5,0.02740259076844609,0.9276206659956756,3.928654024321077e-06]
[null,2047,99.76350052302276,76.7564843425621,99.99998547212924,2046.5,0.024807872488310068,0.9039502226862624,3.216510080505941e-06]
[null,2048,99.7859582518614,77.63657224231373,99.99998810558513,2047.5,0.022457728838645608,0.8800878997516293,2.6334558924645535e-06]
[null,2049,99.80628756043,78.49267397388928,99.99999026167654,2048.5,0.020329308568591387,0.8561017315755493,2.1560914120755115e-06]
[null,2050,99.8246894192772,79.32473064120653,99.99999202693495,2049.5,0.018401858847212793,0.8320566673172465,1.7652584034522079e-06]

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[null,null,"The Logistic Growth Curve"]
["Name:","Jane Smyth"]
["Date:","5007-03-04"]
["Assignment:","XL World Population"]
[]
["Initial Population","Po(billions)=",2.52,2.52,2.52]
["Carrying Capacity","Pmax(billions)=",10,10,10]
["initial growth rate","r(%/yr)=",10,5,20]
[]
[null,"Year","Population","Population","Population"]
[null,1950,2.52,2.52,2.52]
[null,1951,2.713124579232069,2.615411222650993,2.9152812221099307,1950.5,7.380851585245807,3.7158162614186945,14.54501454320282]
[null,1952,2.9152812221099307,2.713124579232069,3.3448394286153857,1951.5,7.183442346309171,3.6675499692258735,13.72363986165938]
[null,1953,3.12603879901342,2.8130978888994873,3.8037098330160024,1952.5,6.977202868465169,3.618142781762448,12.838140652216664]
[null,1954,3.3448394286153857,2.9152812221099307,4.284999644261309,1953.5,6.762625470766835,3.5676176883634114,11.900286753958447]
[null,1955,3.570998728322442,3.0196167759690673,4.780207011147794,1954.5,6.540329445974026,3.516001585634929,10.925451249167056]
[null,1956,3.8037098330160024,3.12603879901342,5.279772742879003,1955.5,6.3110590136005476,3.46332532781602,9.931744276746558]
[null,1957,4.042051403268448,3.234473569224564,5.773797342899097,1956.5,6.0756773772360635,3.4096237514646237,8.938733751835029]
[null,1958,4.284999644261309,3.3448394286153857,6.252813216034591,1957.5,5.835156758524559,3.3549356726775588,7.965933057999759]
[null,1959,4.531444131951774,3.4570468771755998,6.708487012841357,1958.5,5.5905644939374906,3.2993038553050478,7.031297613052575]
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[null,null,"The Logistic Growth Curve"]
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["Date:","5007-03-04"]
["Assignment:","XL World Population"]
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