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

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
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
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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