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