dC The rate of change in the concentration of a drug with respect to time in a user's blood is given by = - kC + D(t), where D(t) is dosage at time t and k is the rate that the drug leaves the bloodstream. Complete parts (a) and (b) below.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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dC
The rate of change in the concentration of a drug with respect to time in a user's blood is given by
= - kC + D(t), where D(t) is dosage at time t and k is the rate that the drug leaves the bloodstream. Complete
dt
parts (a) and (b) below.
t
(a) Solve this linear equation to show that, if C(0) = 0, then C(t) = e
-kt
,ky D(y)dy.
dC
dy
Begin by writing the differential equation,
= - kC + D(t), in the form
dt
+ P(x)y = Q(x).
dx
dC
+
%3D
dt
Transcribed Image Text:dC The rate of change in the concentration of a drug with respect to time in a user's blood is given by = - kC + D(t), where D(t) is dosage at time t and k is the rate that the drug leaves the bloodstream. Complete dt parts (a) and (b) below. t (a) Solve this linear equation to show that, if C(0) = 0, then C(t) = e -kt ,ky D(y)dy. dC dy Begin by writing the differential equation, = - kC + D(t), in the form dt + P(x)y = Q(x). dx dC + %3D dt
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