问题标题：
【英文导数数学题,求带过程赐教~!(第一问已解）Coronersestimatetimeofdeathusingtheruleofthumbthatabodycoolsabout2degreesFduringthefirsthourafterdeathandabout1degreeFforeachadditionalhour.Assuminganair】
问题描述：
英文导数数学题,求带过程赐教~!(第一问已解）
Coronersestimatetimeofdeathusingtheruleofthumbthatabodycoolsabout2degreesFduringthefirsthourafterdeathandabout1degreeFforeachadditionalhour.Assuminganairtemperatureof68degreesFandalivingbodytemperatureof98.6degreesF,thetemperatureT(t)indegreesFofabodyatatimethourssincedeathisgivenby
T(t)=68+30.6e^{-kt}.
1.Forwhatvalueofkwillthebodycoolby2degreesFinthefirsthour?
k=0.06759
2.Usingthevalueofkfoundabove,afterhowmanyhourswillthetemperatureofthebodybedecreasingatarateof1degreeFperhour?
after?hours
3.Usingthevalueofkfoundabove,showbycalculatingbothvaluesthat,24hoursafterdeath,thecoroner'sruleofthumbgivesapproximatelythesametemperatureastheformula.
T(24)=?degreesF
ruleofthumbgivesT=?degreesF
初学导回答：
2.T(t)=68+30.6exp(-kt)T'(t)=-30.6kexp(-kt)-1=-30.6*0.06759*exp(-0.06759t)t=10.8(hour)3.t=24hourT(24)=68+30.6exp(-0.06759x24)=74.0(F)usingtheruleofthumbT(24)=98.6-2*1...
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