7. Solve the differential equation dy dx Va - y

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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sample has decreased by 8.3%.
(a) Find the amount of iodine-131 remaining in the sample
after 8 days.
(b) Explain the significance of the result in part (a).
7. Solve the differential equation
dy
dx
Va - y
of the tractrix. See Problem 28 in Exercises 1.3. Assume that
the initial point on the y-axis in (0, 10) and that the length of the
rope is x = 10 ft.
8. Suppose a cell is suspended in a solution containing a solute
of constant concentration C,. Suppose further that the cell has
constant volume V and that the area of its permeable membrane
is the constant A. By Fick's law the rate of change of its
mass m is directly proportional to the area A and the difference
C,
C(1), where C(1) is the concentration of the solute inside
the cell at time r. Find C(t) if m = V C(1) and C(0)
Figure 3.R.2.
Co. See
concentration,
concentration
molecules of solute
diffusing through
cell membrane
Transcribed Image Text:sample has decreased by 8.3%. (a) Find the amount of iodine-131 remaining in the sample after 8 days. (b) Explain the significance of the result in part (a). 7. Solve the differential equation dy dx Va - y of the tractrix. See Problem 28 in Exercises 1.3. Assume that the initial point on the y-axis in (0, 10) and that the length of the rope is x = 10 ft. 8. Suppose a cell is suspended in a solution containing a solute of constant concentration C,. Suppose further that the cell has constant volume V and that the area of its permeable membrane is the constant A. By Fick's law the rate of change of its mass m is directly proportional to the area A and the difference C, C(1), where C(1) is the concentration of the solute inside the cell at time r. Find C(t) if m = V C(1) and C(0) Figure 3.R.2. Co. See concentration, concentration molecules of solute diffusing through cell membrane
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