Answer to Question #8697 in Differential Equations for sami

Question

1:1

The function g (t) is used to describe the amount g mg of a medical preparation in a body such hours after medication.
a) What does the term g (3)?
b) What do you answer by solving the equation g (t) = 0?
c) For a limited time describes the amount of medicine of the function g (t) = t ^ 2 - 16t + 64th As medicine has disappeared from the body?
d) What are the limitations in time for formula's validity?

Answer 1

a) g(3) means amount of medicine in grams in a body after 3 ours
b) we'll find moment of time when medication is totally gone (its amount is zero)
c) t ^ 2 - 16t + 64=0
roots are t_1,2=8
So medication disappears after 8 hours.
d) limitations are that time should be non negative t>0.