Suppose that the population P(t) of a country satisfies the differential equation = kP(900 – P) with k constant. Its population in 1960 was 300 million and was then growing at the rate of 2 million per year. Predict this country's population for the year 2010. This country's population in 2010 will be million.
Suppose that the population P(t) of a country satisfies the differential equation = kP(900 – P) with k constant. Its population in 1960 was 300 million and was then growing at the rate of 2 million per year. Predict this country's population for the year 2010. This country's population in 2010 will be million.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
Related questions
Question
Expert Solution
Step 1
Assume 1960 is the starting year and the population, P is in millions.
So, at the value of P will be 300.
Trending now
This is a popular solution!
Step by step
Solved in 6 steps
Knowledge Booster
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
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,