Radioactive carbon-14 decays according to the function Q(t) = Q0 e-0.000121t where t is time in…

Radioactive carbon-14 decays according to the function Q(t) = Q0e−0.000121t where t is time in years, Q(t) is the quantity remaining at time t, and Q0 is the amount of present at time t = 0. Estimate the age of a skull if 23% of the original quantity of carbon-14 remains.

 

Suppose 2 mg of a drug is injected into a person’s bloodstream. As the drug is metabolized, the quantity diminishes at the continuous rate of 4% per hour.

(a) Find a formula for Q(t), the quantity of the drug remaining in the body after t hours.

(b) By what percent does the drug level decrease during any given hour?

(c) The person must receive an additional 2 mg of the drug whenever its level has diminished to 0.25 mg. When must the person receive the second injection?

(d) When must the person receive the third injection?

 

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