Drug Metabolism The rate at which a drug is absorbed into the bloodstream is modeled by th...

Drug Metabolism The rate at which a drug is absorbed into the bloodstream is modeled by the first-order differential equation

where a and b are positive constants and C(t) denotes the concentration of drug in the bloodstream at time t. Assuming that no drug is initially present in the bloodstream, find the limiting concentration of the drug in the bloodstream as t → ∞. How long does it take for the concentration to reach one-half of the limiting value?