Question

To test an individual's use of a certain mineral, a researcher injects a small amount of a radioactive form of that mineral into the person's bloodstream. The mineral remaining in the bloodstream is measured each day for several days. Suppose the amount of the mineral remaining in the bloodstream (in milligrams -1/2 per cubic centimeter)t days after the initial injection is approximated by C(t) = 5(81+3) Find the rate of change of the mineral level with respect to time for 4 days.

Answer 1

Minerel remaining in bloodstream C(U)= {(87+3)Y2 myl.com Race of change of mineral level is c'(t) ( {(8++3)=)) = { }(st+3) Ž- - (8473) c'(H) = + (S++3) -2 (87+33-342 C(Z) st .(Sto) After 4 days =) € = 4 c'(4) = -2 (P(4) +3) -372 e'(a) = | -9.65891 x 103 mylim? I day (ory c'(4) 0.00965891 mg/cm3 I dag