The Pacific halibut fishery has been modeled by the differential equation dt 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 = 9 x 10 kg, and k= 0.7 per year. (a) If y(0) = 2 x 107 kg, find the biomass a year later. (Round your answer to two decimal places.) 7x 107 kg (b) How long will it take for the biomass to reach 4 x 10 kg? (Round your answer to two decimal places.) yr Need Help? Master It Read It Watch It

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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
dy = k(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 = 9 x 10 kg, and k = 0.7 per year.
(a) If y(0) = 2 x 10 kg, find the biomass a year later. (Round your answer to two decimal places.)
x 107 kg
(b) How long will it take for the biomass to reach 4 x 10 kg? (Round your answer to two decimal places.)
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Transcribed Image Text:The Pacific halibut fishery has been modeled by the differential equation dy = k(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 = 9 x 10 kg, and k = 0.7 per year. (a) If y(0) = 2 x 10 kg, find the biomass a year later. (Round your answer to two decimal places.) x 107 kg (b) How long will it take for the biomass to reach 4 x 10 kg? (Round your answer to two decimal places.) Need Help? Read It Watch It Master It
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