31. The Gompertz law of tumor growth is given by equation dN N In(N/b) =-/ at dt where Nis the size of the tumor, t is time (measurec in days), b is the asymptotic size of the tumor, and a is a measurement of the tumor growth rate. Assum a = 1 and b = 10. Integrate both sides of the Gom pertz equation and solve for N in terms of t. To get rid of the integration constant, assume that Nequ 5 at time t = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 44RE
icon
Related questions
icon
Concept explainers
Topic Video
Question
#31
394 Chapter 5 Integration
31. The Gompertz law of tumor growth is given by the
equation
dN
at dt
NIn(N/b)
where Nis the size of the tumor, t is time (measured
in days), b is the asymptotic size of the tumor, and a
is a measurement of the tumor growth rate. Assume
=1 and b = 10. Integrate both sides of the Gom-
pertz equation and solve for N in terms of t. To get
rid of the integration constant, assume that N equals
5 at time t
0.
%3D
32. In Example 6 of Section 1.5, we modeled the uptake
of glucose by bacterial populations off of the coast o-
Peru by the function
1.2078x
f(x) =
f(x):
micrograms per hour
1+0.0506x
where x is micrograms of glucose per liter. SupposE
the concentration of glucose x is decaying exponer
Transcribed Image Text:394 Chapter 5 Integration 31. The Gompertz law of tumor growth is given by the equation dN at dt NIn(N/b) where Nis the size of the tumor, t is time (measured in days), b is the asymptotic size of the tumor, and a is a measurement of the tumor growth rate. Assume =1 and b = 10. Integrate both sides of the Gom- pertz equation and solve for N in terms of t. To get rid of the integration constant, assume that N equals 5 at time t 0. %3D 32. In Example 6 of Section 1.5, we modeled the uptake of glucose by bacterial populations off of the coast o- Peru by the function 1.2078x f(x) = f(x): micrograms per hour 1+0.0506x where x is micrograms of glucose per liter. SupposE the concentration of glucose x is decaying exponer
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage