Suppose that a drug is administered to a person in a single dose, and assume that the drug does not accumulate in body tissue, but is excreted through urine. Denote the amount of drug in the body at time t by dx1 x, (t) and in the urine at time t by x2(t). If x, (0) = 6 mg and x2(0) = 0, find x, (t) and x2(t) if dt 0.1x1. = - dx1 dx2 Based on the given information, the equation + = 0 must be satisfied. dt dt Find (t) and x2(t). X4 (t) = X2 (t) = (Type expressions using t as the variable. Use integers or decimals for any numbers in the expressions.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Suppose that a drug is administered to a person in a single dose, and assume that the drug does not
accumulate in body tissue, but is excreted through urine. Denote the amount of drug in the body at time t by
dx1
- 0.1x1.
x, (t) and in the urine at time t by X2 (t). If x, (0) = 6 mg and x2(0) = 0, find x, (t) and x2(t) if
dt
.....
dx, dx2
Based on the given information, the equation
= 0
must be satisfied.
+
dt
dt
Find x, (t) and X2(t).
x, (t) = ]
X2 (t) =
]
(Type expressions using t as the variable. Use integers or decimals for any numbers in the expressions.)
Transcribed Image Text:Suppose that a drug is administered to a person in a single dose, and assume that the drug does not accumulate in body tissue, but is excreted through urine. Denote the amount of drug in the body at time t by dx1 - 0.1x1. x, (t) and in the urine at time t by X2 (t). If x, (0) = 6 mg and x2(0) = 0, find x, (t) and x2(t) if dt ..... dx, dx2 Based on the given information, the equation = 0 must be satisfied. + dt dt Find x, (t) and X2(t). x, (t) = ] X2 (t) = ] (Type expressions using t as the variable. Use integers or decimals for any numbers in the expressions.)
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