Researchers found that the fraction of radioactive albumin in one patient’s blood plasma could be described by: ƒ(t) = 0.42e-0.0364t + 0.255e-0.642t + 0.325e-2.98t where t is the time in days after the iron was injected. Source: The Journal of Laboratory and Clinical Medicine. a. Find the fraction of radioactive albumin remaining and the rate that it was declining at (i) 12 hours, (ii) 1 day, and (iii) 10 days. b. What is happening to the fraction of radioactive albumin in the plasma as time goes on? c. What is happening to the rate of change of the fraction of radioactive albumin in the plasma as time goes on? d. Calculate the value of the first term of ƒ(t), as well as the portion of ƒ(t) that it represents, at (i) 12 hours, (ii) 1 day, and (iii) 10 days. Explain what is happening.
Researchers found that the fraction of radioactive albumin in one patient’s blood plasma could be described by:
ƒ(t) = 0.42e-0.0364t + 0.255e-0.642t + 0.325e-2.98t
where t is the time in days after the iron was injected.
Source: The Journal of Laboratory and Clinical Medicine.
a. Find the fraction of radioactive albumin remaining and the rate that it was declining at
(i) 12 hours, (ii) 1 day, and (iii) 10 days.
b. What is happening to the fraction of radioactive albumin in the plasma as time goes on?
c. What is happening to the rate of change of the fraction of radioactive albumin in the plasma as time goes on?
d. Calculate the value of the first term of ƒ(t), as well as the portion of ƒ(t) that it represents, at
(i) 12 hours, (ii) 1 day, and (iii) 10 days.
Explain what is happening.
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