Concentration of a Drug in the Bloodstream The concentration of a certain drug in a patient's bloodstream t hr after injection is given by the following function. 0.2t C(t) = ²+9 (a) Find the rate (in percent/hr) at which the concentration of the drug is changing with respect to time. C'(t) = X (b) How fast (in percent/hr) is the concentration changing 1/2 hr, 3 hr, and 8 hr after the injection? (Round your answers to four decimal places.) after 1/2 hr Xpercent/hr after 3 hr Xpercent/hr after 8 hr percent/hr

College Algebra
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
Question
Concentration of a Drug in the Bloodstream The concentration of a certain drug in a patient's bloodstream t hr after injection is given by the following function.
0.2t
C(t)
=
+² +9
(a) Find the rate (in percent/hr) at which the concentration of the drug is changing with respect to time.
C'(t) =
(b) How fast (in percent/hr) is the concentration changing 1/2 hr, 3 hr, and 8 hr after the injection? (Round your answers to four decimal places.)
after 1/2 hr
X percent/hr
after 3 hr
X percent/hr
after 8 hr
percent/hr
Transcribed Image Text:Concentration of a Drug in the Bloodstream The concentration of a certain drug in a patient's bloodstream t hr after injection is given by the following function. 0.2t C(t) = +² +9 (a) Find the rate (in percent/hr) at which the concentration of the drug is changing with respect to time. C'(t) = (b) How fast (in percent/hr) is the concentration changing 1/2 hr, 3 hr, and 8 hr after the injection? (Round your answers to four decimal places.) after 1/2 hr X percent/hr after 3 hr X percent/hr after 8 hr percent/hr
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