Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 16CR
Related questions
Question
Need help with #7
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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