Antibiotic decay The half-life of an antibiotic in the bloodstream is 10 hours. If an init...

Antibiotic decay The half-life of an antibiotic in the bloodstream is 10 hours. If an initial dose of 20 milligrams is administered, the quantity left after t hours is modeled by Q(t) = 20e0−0693t, for t ≥ 0.

a. Find the instantaneous rate of change of the amount of antibiotic in the bloodstream, for 0 ≤ t ≤ 10. How fast is the amount of antibiotic changing at t = 0? At t = 2? .

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b. How fast is the account growing (in dollars/year) at t = 10?

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c. Evaluate and interpret