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Suppose that a population grows according to a logistic model with carrying capacity 5700 and k = 0.0016 per year. (a) Write the logistic differential equation for these values. 0.0016P(1-5700) dp dt

Suppose that a population grows according to a logistic model with carrying capacity 5700 and k = 0.0016 per year. (a) Write the logistic differential equation for these values. 0.0016P(1-5700) dp dt

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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(c) Use Euler's method with step size h= 1 to estimate the population after 50 years if the initial population is 1,000. (Round your answer to the nearest whole number.) P(50) - (d) If the initial population is 1,000, write a formula for the population after t years. (Use P for P(t).) 5700 1+4.9e-0.0016 X P= Use it to find the population after 50 years and compare with your estimate in part (c). (Round your answer to one decimal place.) P(50) -
Transcribed Image Text:(c) Use Euler's method with step size h= 1 to estimate the population after 50 years if the initial population is 1,000. (Round your answer to the nearest whole number.) P(50) - (d) If the initial population is 1,000, write a formula for the population after t years. (Use P for P(t).) 5700 1+4.9e-0.0016 X P= Use it to find the population after 50 years and compare with your estimate in part (c). (Round your answer to one decimal place.) P(50) -
Suppose that a population grows according to a logistic model with carrying capacity 5700 and k = 0.0016 per year. (a) Write the logistic differential equation for these values. 0.0016P(1- dP dt - 5700
Transcribed Image Text:Suppose that a population grows according to a logistic model with carrying capacity 5700 and k = 0.0016 per year. (a) Write the logistic differential equation for these values. 0.0016P(1- dP dt - 5700
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