Show all work. Please circle your final result to each of parts A - C. Express your answers to B and C to at least the nearest 0.1 mg. A drug is administered daily in 200 mg doses. The half-life of this drug in the bloodstream is 18 hours. Obtain an expression for x(d), the amount remaining in the bloodstream just after the drug is administered on day d. (The initial dose is assumed to be administered on day 0.) Use your expression to determine the amount remaining in the bloodstream just after the drug is administered on day 15. Determine the value of xmax. How long should the dosing period be if the amount of this drug in the body cannot exceed 300 mg? Answer to at least the nearest 0.01 hour.

Question

Show all work. Please circle your final result to each of parts A - C. Express your answers to B and C to at least the nearest 0.1 mg.

A drug is administered daily in 200 mg doses. The half-life of this drug in the bloodstream is 18 hours.

Obtain an expression for x(d), the amount remaining in the bloodstream just after the drug is administered on day d. (The initial dose is assumed to be administered on day 0.)
Use your expression to determine the amount remaining in the bloodstream just after the drug is administered on day 15.
Determine the value of xmax.
How long should the dosing period be if the amount of this drug in the body cannot exceed 300 mg? Answer to at least the nearest 0.01 hour.

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