To test an individual’s use of calcium, a researcher injects a small amount of radioactive calcium into the person’s bloodstream. The calcium remaining in the bloodstream is measured each day for several days. Suppose the amount of the calcium remaining in the bloodstream (in milligrams per cubic centimeter) t days after the initial injection is approximated by

Find and interpret the rate of change of the calcium level with respect to time for the following numbers of days.
(a) 0 

(b) 4 

(c) 7.5
(d) Are the slopes of the tangent lines to C always positive or always negative? What does this indicate about the rate of change of the calcium level?

Transcribed Image Text:

C(t) == (2t + 1)-1/2