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Thepopulation,P(t),ofChina,†inbillions,canbeapproximatedbyP(t)=1.267(1.007)t,wheretisthenumberofyearssincethestartof2000.Accordingtothismodel,howfastwasthepopulationgrowingatthestartof2000andatthestartof20
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问题描述:

Thepopulation,P(t),ofChina,†inbillions,canbeapproximatedby

P(t)=1.267(1.007)t,

wheretisthenumberofyearssincethestartof2000.

Accordingtothismodel,howfastwasthepopulationgrowingatthe

startof2000andatthestartof2008?Giveyouranswerinmillionsofpeopleperyear.(Use

h=0.1,0.01,0.001,0.0001,andsoon.Roundyouranswerstotwodecimalplaces.)

beginningof2000,millionpeopleperyear

beginningof2008,millionpeopleperyear

运用极限lim[f(a+h)-f(a)]/h

h→0

邱浩回答:
  写出来就可以了,举个例子如h=0.1,2008年增速为:P(8.1)-P(8.0)/0.1=[1.267*1.007^(8.1)-1.267*1.007^(8.0)]/0.1=1.267*1.007^(8.0)*{(1.007^0.1-1)/0.1},你用计算器按一下,去试试看
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