Question: Consider the following function on the given interval. f(t)=t-3t2,[-1,5]After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream for the first

Consider the following function on the given interval. f(t)=t-3t2,[-1,5]After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream for the first 12 hours is modeled by the functionC(t)=6(e-0.4t-e-0.6t)where the time tis measured in hours and Cis measured ingmL.What is domain ofC(t)?(Enter your answer using interval notation.)Nice job!Find the derivative of the function.C'(t)=Well done.Find any critical numbers of the function. (Enter your answers as a comma-separated list. Ifan answer does not exist, enter DNE.)t=gmL

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