math URGENT PLEASE HELP

can you please explain this question to me
for part b i get t=0.7 by trial and error and 0.6 percent of the population but im sure theres a more exact way to do it

(a) A chemical process produces NaCI at the rate 3.Jtgrams per minute.
(i) What is the rate of production 4 minutes into the process?
(ii) How much NaCI has been produced by that time?
(b) The rate at which a viral infection spreads through a population is given
by:
2 r(t) = 2te- t
Where t is measured in months and r(t) is the portion of population
infected per month.
(i) When is the infection spreading most rapidly?
(ii) What portion ofthe population has been infected by this time?

thank so much

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