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
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
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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![A population y changes at a rate modeled by the differential equation = 0.2y(1000-y), where t is
dy
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
O E](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bb9483f-e549-4e9c-b819-8ce0593a1865%2F3996a54f-9f14-4cc5-bbe2-1276a542c657%2Flgb994f_processed.png&w=3840&q=75)
Transcribed Image Text:A population y changes at a rate modeled by the differential equation = 0.2y(1000-y), where t is
dy
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
O E
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