please help! The concentration C(t) (in mg/cm3) of a drug in a patient\'s bloods

Question

please help!

The concentration C(t) (in mg/cm3) of a drug in a patient's bloodstream after t hours is . Find the maximum concentration. (Round your answer to five decimal places.) Find the time at which the maximum concentration occurs. (Round your answer to three decimal places.) Determine whether Rolle's Theorem can be applied to the function on the given interval; if so, find the value(s) of c guaranteed by the theorem. (Enter your answers as a comma-separated list. If Rolle's Theorem does not apply, enter DNE) Determine whether Rolle's Theorem can be applied to the function on the given interval; if so, find the value(s) of c guaranteed by the theorem. (Enter your answers as a comma-separated list. If Rolle's Theorem does not apply, enter DNE)

Explanation / Answer

maximum concentration at t=sqrt6=2.449 hr(answer)

and maxm concentration=0.0004mg/cm^3(answer)

yes as rolles theorem can be applied and value of c=0.296(answer)

rolles theorem cannot be applied in this case as the function is not differentiable at x=0.5.

so DNE.(answer)

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