oliviajewelwilliams
06.07.2019 •
Mathematics
Suppose 4 mg of a drug is injected into a person's bloodstream. as the drug is metabolized, the quantity diminishes at the continuous rate of 3% per hour?
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Ответ:
We are told that Q diminishes by 3% every hour.
When t = 0, Q = 4 mg
When t = 1, Q = 4*0.97 mg
When t = 2, Q = 4*(0.97)² mg
By induction,
Q'(t) = 0.97Q
Therefore the rate of decrease is 3% per hour.
The person receives an additional dosage when Q falls to 0.50 mg. This happens when
After the second injection, the mass is now 4.5 mg. Therefore
When the mass again reaches 0.50 mg, then
Answers:
(a)
(b) 3% per hour
(c) 68.3 hours
(d) 72.1 hours
Ответ:
The answer is "2"
Step-by-step explanation:
When we check the points where the x is -2
by calculating the "y-value":
It is 2, right?
it implies that
that's why the final answer is "2"