Population Modeling2. The population of Japan in 1960 was 94 million, the population in 1970 was 105 million.Set up and solve the DE using = kP and calculate the expected population in 2010.а.b.The Population in 2010 was 128 million. Explain why the model used in part "a" did notwork, use an improved model, explain your choice for parameter. Do calculations andwork separately and only describe results below as a well written paragraph. State thechanges and why, the new solution and how it compares.

Given that the initial population of Japan in 1960 is 94million and the population of Japan in 1970…

Answered: The population of Japan in 1960 was 94…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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In Australia, wheat grain exports are often affected by little insects, it has been estimated that between one quarter and one third of the world grain crop is lost each year during storage and transportation. Even with the strictest safety precautions and protocols, these insects are not completely eliminated. At the start of the voyage, 40 ants remained among the wheat grains in the cargo hold of the ship. One week into the voyage, there were approximately 310 ants. The model used to estimate the number of ants, N, is N(t) = 400/1+9e(to the power of kt) a) a) although the question says there are 40 ants on the ship at the start of the trip, the exporters wanted independent algebraic proof using the proposed model of N(t)=400/1+9e(to the power of kt) show how the captain used the model to prove there were 40 ants initially N(0) 400/10 = 40 ants b) rearrange the model , without substitution of values , to K= K= In(1/9(400/n(t) -1 )) / 1 c) Now , find the value of k correct to 2…
In Australia, wheat grain exports are often affected by little insects, it has been estimated that between one quarter and one third of the world grain crop is lost each year during storage and transportation. Even with the strictest safety precautions and protocols, these insects are not completely eliminated. At the start of the voyage, 40 ants remained among the wheat grains in the cargo hold of the ship. One week into the voyage, there were approximately 310 ants. The model used to estimate the number of ants, N, is N(t) = 400/1+9e(to the power of kt) b) rearrange the model , without substitution of values , to K=

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The population of Japan in 1960 was 94 million, the population in 1970 was 105 million. Set up and solve the DE using dP = kP and calculate the expected population in 2010. dt