a. A population of herbivores satisfies the growth equation Yn+1 = 1.03yn, where n is in years. If the initial population is yo = 4000, then determine the populations y₁ and y3. Y1 = 4120 1.03(4066) = 4/20 4006 (1.03) Y3 = 4370.908 1.034/20) = 4370.908 b. A competing group of herbivores satisfies the growth equation Zn+1 = 1.04zn. If the initial population is zo = 2500, then determine how long it takes for this population to double. Doubling time = 40 years What is the population of these herbivores after 10 years? 210 3700 2500 (1.04)¹0 2500 (1.04)" c. Find when the two populations are equal. What is their population at this time? Populations are equal in 10 years

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Can someone please Help me with the red portion, I manage to use my calculator and place both functions next to one another f(x)= 2500(1.04)^n and g(x)= 4000(1.03)^n. Please help and explain. 

Yn+1 =
where n is in years. If the initial population is yo
3₁ = 4120 1.03(4000) = 4/20
a. A population of herbivores satisfies the growth equation
1.03yn,
Y3 = 4370.908 1.03(4120) = 4370.908
b. A competing group of herbivores satisfies the growth equation
1.04zn.
Zn+1
If the initial population is zo
=
=
=
= 4000, then determine the populations y₁ and y3.
4006 (1.03)"
=
2500, then determine how long it takes for this population to double.
Doubling time = 40 years
What is the population of these herbivores after 10 years?
Z10 3700
2500 (1.04) ¹0 = 2500 (1.04)"
c. Find when the two populations are equal. What is their population at this time?
Populations are equal in 10 years
Population at this time is 3700
Transcribed Image Text:Yn+1 = where n is in years. If the initial population is yo 3₁ = 4120 1.03(4000) = 4/20 a. A population of herbivores satisfies the growth equation 1.03yn, Y3 = 4370.908 1.03(4120) = 4370.908 b. A competing group of herbivores satisfies the growth equation 1.04zn. Zn+1 If the initial population is zo = = = = 4000, then determine the populations y₁ and y3. 4006 (1.03)" = 2500, then determine how long it takes for this population to double. Doubling time = 40 years What is the population of these herbivores after 10 years? Z10 3700 2500 (1.04) ¹0 = 2500 (1.04)" c. Find when the two populations are equal. What is their population at this time? Populations are equal in 10 years Population at this time is 3700
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