A population y changes at a rate modeled by the differential equation = 0.2y(1000-y), where t isdydtmeasured in years. What are all values of y for which the population is increasing at a decreasing rate?(A) 500 only(B) 0 < y < 500 only(C) 500 < y < 1000 only(D) 0 < y < 1000(E) y > 1000O ABO E

y'=dydx=0.2y(1000-y) Solve for y in y'=0 0.2y(1000-y)=0⇒y=0, y=1000 Interval…

Answered: A population y changes at a rate…

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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A population y changes at a rate modeled by the differential equation = 0.2y(1000-y), where t is dt measured in years. What are all values of y for which the population is increasing at a decreasing rate? (A) 500 only (B) 0 < y < 500 only (C) 500 < y < 1000 only (D) 0 < y < 1000 (E) y > 1000 O A B