The concentration c of glucose in the blood with respect to time t is given by the dc differential equation = G – kc where G and k are constants. Using co to denote dt the initial amount c(0), find c(t) and find the glucose concentration in the blood in the long run; that is lim c(t).

The concentration c of glucose in the blood with respect to time t is given by the dc differential equation = G – kc where G and k are constants. Using co to denote dt the initial amount c(0), find c(t) and find the glucose concentration in the blood in the long run; that is lim c(t).

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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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

The concentration c of glucose in the blood with respect to time t is given by the
differential equation
dc
= G – kc where G and k are constants. Using co to denote
dt
the initial amount c(0), find c(t) and find the glucose concentration in the blood in
the long run; that is lim c(t).

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