Ortiz Warren
04/26/2023 · Elementary School
In the process of a medical procedure, a technician injects a small amount of a radioactive mineral into the patient's bloodstream. The amount of the mineral remaining in the bloodstream (in milligrams per milliliter) \( t \) days after the initial injection is approximated by \( C(t)=\frac{1}{2}(4 t+4)^{-1 / 2} \). a. Find the rate of change of the mineral level with respect to time when the initial injection is administered (after 0 days). Include units.
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The rate of change of the mineral level with respect to time at \( t = 0 \) is \(-\frac{1}{8} \text{ mg/mL/day}\).
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