Public health records indicate that t weeks after the outbreak of a certain form of influenza, approximately f (t) =2/(1+3e^(-0.8t)) thousand people had caught the disease.
a) How many people had the disease initially?
b) How many had caught the disease by the end of 3 weeks?
c) If the trend continues, how many people in all will contract the disease?

Question

Public health records indicate that t weeks after the outbreak of a certain form of influenza, approximately f (t) =2/(1+3e^(-0.8t)) thousand people had caught the disease.
a) How many people had the disease initially?
b) How many had caught the disease by the end of 3 weeks?
c) If the trend continues, how many people in all will contract the disease?

anonymous · Answer

a) How many people had the disease initially?

replace $t$ by $0$

anonymous · Answer

b) How many had caught the disease by the end of 3 weeks?
replace $t$ by $3$ (use a calcuator)

anonymous · Answer

i don't understand the last question, because if you try to compute the integral it does not exist

anonymous · Answer

the textbook answer is a) 500 b) 1572 c)2000