Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful! c(i)For each fixed point identifed in part (b),identify whether is it stable or unstable.Nx,1 is:stable O unstablec(ii)N*,2 is:stablec(iii)N*,3 is:stableO unstableunstable A population N(t) is controlled by the ordinarydifferential equation (ODE)dNdtwith values A =2, B =18, C=36.(a)The right-hand side function f(N) can befactorised and re-arranged, to give the form= f(N) = −AN³ + BN² - CN,dNNAN-N (-1) (1-X).= rNdtwhere r is a per-capita growth rate, andand K₂ are theoretical carrying capacities,ordered such that 0 < K₁ < K₂.For the specific values of A, B and C givenabove, state the values required for this form:r =N*,1"=K₁=(b)From the form derived in part (a), identify thefixed points N*,1, N*,2, N+,3, ordered suchthat N*,1 < N*,2 < N*,3.(Note that numerical values are required here,based on the specific values of A, B and Cgiven above.)1, K₂=1N+,2=, N*,3=

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A population N(t) is controlled by the ordinary differential equation (ODE) dN dt with values A =2, B =18, C =36. dN dt = (a) The right-hand side function f(N) can be factorised and re-arranged, to give the form f(N) = −AN³ + BN² - CN, = rN where r is a per-capita growth rate, and K₁ and K₂ are theoretical carrying capacities, ordered such that 0 < K₁ < K₂. Nx,1 For the specific values of A, B and C given above, state the values required for this form: r= K₁ = , K₂ = 1 N N (K-¹) (¹ - K), 1 1- K₁ = . (b) From the form derived in part (a), identify the fixed points N₁,1, N.,2, N.,3, ordered such that N*,1 < N,2 < N*,3. (Note that numerical values are required here, based on the specific values of A, B and C given above.) , N*,2 = , N*,3 =

A population N(t) is controlled by the ordinary differential equation (ODE) dN dt with values A =2, B =18, C =36. dN dt = (a) The right-hand side function f(N) can be factorised and re-arranged, to give the form f(N) = −AN³ + BN² - CN, = rN where r is a per-capita growth rate, and K₁ and K₂ are theoretical carrying capacities, ordered such that 0 < K₁ < K₂. Nx,1 For the specific values of A, B and C given above, state the values required for this form: r= K₁ = , K₂ = 1 N N (K-¹) (¹ - K), 1 1- K₁ = . (b) From the form derived in part (a), identify the fixed points N₁,1, N.,2, N.,3, ordered such that N,1 < N,2 < N,3. (Note that numerical values are required here, based on the specific values of A, B and C given above.) , N,2 = , N,3 =

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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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!
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