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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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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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
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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