微积分求数量A bacteria population starts with 500 bacteria and grows at a rate of r(t) bacteria per hour.How many bacteria n will there be after three hours?(Give your answer to the nearest bacterium.) r(t)=450.269e^1.12567t

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微积分求数量A bacteria population starts with 500 bacteria and grows at a rate of r(t) bacteria per hour.How many bacteria n will there be after three hours?(Give your answer to the nearest bacterium.) r(t)=450.269e^1.12567t
微积分求数量
A bacteria population starts with 500 bacteria and grows at a rate of r(t) bacteria per hour.How many bacteria n will there be after three hours?(Give your answer to the nearest bacterium.)
r(t)=450.269e^1.12567t

微积分求数量A bacteria population starts with 500 bacteria and grows at a rate of r(t) bacteria per hour.How many bacteria n will there be after three hours?(Give your answer to the nearest bacterium.) r(t)=450.269e^1.12567t
r(t)的单位是个数/小时
r(t)=450.269e^1.12567t
对这个解析式在0到3小时做定积分
∫r(t)dt
=∫450.269e^1.12567t dt
=1/1.12567*∫450.269e^1.12567td1.12567t
= 450.269/1.12567*∫de^1.12567t
=11313.259
答案：11313.259+500=11813.259

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