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) = t² +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 10 hr after the injection? (Round your answers to four decimal places.) after 1/2 hr percent/hr percent/hr after 3 hr after 10 hr percent/hr
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) = t² +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 10 hr after the injection? (Round your answers to four decimal places.) after 1/2 hr percent/hr percent/hr after 3 hr after 10 hr percent/hr
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Ex 3.2 q15
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) =
t² +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 10 hr after the injection? (Round your answers to four decimal places.)
after 1/2 hr
percent/hr
percent/hr
after 3 hr
after 10 hr
percent/hr
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