The concentration C(t) in milligrams per cubic centimeter (mg cm 3 ) of a drug in a patients bloodstream is 0 5 mg cm 3 immediately after an injection and t minutes later is decreasing at the rate A new injection is given when the concentration drops below 0 05 mg cm 3 a Find an expression for C(t) b What is the concentration after 1 hour After 3 hours c Use the graphing utility of your calculator with TRACE and ZOOM to determine how much time passes before the next injection is given C' (t) 0 01e0 01t (e0 01 1) mg cm per minute

Question: The concentration C(t) in milligrams per cubic centimeter (mg/cm 3 ) of a drug in a patients bloodstream is 0.5 mg/cm 3 immediately after an

The concentration C(t) in milligrams per cubic centimeter (mg/cm³) of a drug in a patient’s bloodstream is 0.5 mg/cm³ immediately after an injection and t minutes later is decreasing at the rate

C' (t) = -0.01e0.01t (e0.01 + 1) mg/cm per minute

A new injection is given when the concentration drops below 0.05 mg/cm³.

a. Find an expression for C(t).

b. What is the concentration after 1 hour? After 3 hours?

c. Use the graphing utility of your calculator with TRACE and ZOOM to determine how much time passes before the next injection is given.

C' (t) = -0.01e0.01t (e0.01 + 1) mg/cm per minute

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