The Pacific halibut fishery has been modeled by the differential equation * - (1-) where y(t) is the biomass (the total mass of the members of the population) in kilograms at time t (measured in years), the carrying capacity is estimated to be M = 6 x 107 kg, and k = 0.74 per year. (a) If y(0) = 2 x 107 kg, find the biomass a year later. (Round your answer to two decimal places.) х 107 kg (b) How long will it take for the biomass to reach 4 x 107 kg? (Round your answer to two decimal places.) yr
The Pacific halibut fishery has been modeled by the differential equation * - (1-) where y(t) is the biomass (the total mass of the members of the population) in kilograms at time t (measured in years), the carrying capacity is estimated to be M = 6 x 107 kg, and k = 0.74 per year. (a) If y(0) = 2 x 107 kg, find the biomass a year later. (Round your answer to two decimal places.) х 107 kg (b) How long will it take for the biomass to reach 4 x 107 kg? (Round your answer to two decimal places.) yr
Calculus: Early Transcendentals
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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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![The Pacific halibut fishery has been modeled by the differential equation
* - (1-)
where y(t) is the biomass (the total mass of the members of the population) in kilograms at time t (measured in years), the carrying capacity is estimated to be M = 6 x 107 kg, and k = 0.74 per year.
(a) If y(0) = 2 x 107 kg, find the biomass a year later. (Round your answer to two decimal places.)
х 107 kg
(b) How long will it take for the biomass to reach 4 x 107 kg? (Round your answer to two decimal places.)
yr](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb416bfb-120a-4201-a583-6dfe8807e7e6%2Fbad9a32d-ae5e-432a-b582-90f6e8fd45cb%2Fsxypypf_processed.png&w=3840&q=75)
Transcribed Image Text:The Pacific halibut fishery has been modeled by the differential equation
* - (1-)
where y(t) is the biomass (the total mass of the members of the population) in kilograms at time t (measured in years), the carrying capacity is estimated to be M = 6 x 107 kg, and k = 0.74 per year.
(a) If y(0) = 2 x 107 kg, find the biomass a year later. (Round your answer to two decimal places.)
х 107 kg
(b) How long will it take for the biomass to reach 4 x 107 kg? (Round your answer to two decimal places.)
yr
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