Assume that the dynamics of caffeine absorption is given by C++1=0.81Ct, where t is time in...

 

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Assume that the dynamics of caffeine absorption is given by C++1=0.81Ct, where t is time in hours and Ct is the concentration of caffeine in milligrams (mg/l). a) Find the general solution of the DTDS above. Use C to denote the initial concentration Co (because subscripts are not allowed in this software). Answer: Ct = b) If Co= 1000 mg/l (a few cups of strong coffee), estimate the minimum time in hours needed for at least 75% of the caffeine to be eliminated from the body (i.e. at most 25% is left in the body). Round up to the nearest integer value. Answer: hours. Assume that the dynamics of caffeine absorption is given by C++1=0.81Ct, where t is time in hours and Ct is the concentration of caffeine in milligrams (mg/l). a) Find the general solution of the DTDS above. Use C to denote the initial concentration Co (because subscripts are not allowed in this software). Answer: Ct = b) If Co= 1000 mg/l (a few cups of strong coffee), estimate the minimum time in hours needed for at least 75% of the caffeine to be eliminated from the body (i.e. at most 25% is left in the body). Round up to the nearest integer value. Answer: hours.