The Pacific halibut fishery has been modeled by the differential equation dy = kyl 1 - L dt where y(t) is the biomass (the total mass of the members of the population) in kilograms at timet (measured in years), the carrying capacity is estimated to be M = 9 × 10' kg, and k = 0.75 per year. = 2 x 10' kg, find the biomass a year later. (Round your answer to two decimal places.) x 10' kg (a) If y(0) 3.26 (b) How long will it take for the biomass to reach 4 x 10' kg? (Round your answer to two decimal places.) 1.54 yr Need Help? Watch It Talk to a Tutor Read It Master It

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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The Pacific halibut fishery has been modeled by the differential equation
dy = kyl 1 - L
dt
where y(t) is the biomass (the total mass of the members of the population) in kilograms at timet (measured in years), the carrying capacity is estimated to be M = 9 × 10' kg, and k = 0.75 per year.
= 2 x 10' kg, find the biomass a year later. (Round your answer to two decimal places.)
x 10' kg
(a) If y(0)
3.26
(b) How long will it take for the biomass to reach 4 x 10' kg? (Round your answer to two decimal places.)
1.54
yr
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Transcribed Image Text:The Pacific halibut fishery has been modeled by the differential equation dy = kyl 1 - L dt where y(t) is the biomass (the total mass of the members of the population) in kilograms at timet (measured in years), the carrying capacity is estimated to be M = 9 × 10' kg, and k = 0.75 per year. = 2 x 10' kg, find the biomass a year later. (Round your answer to two decimal places.) x 10' kg (a) If y(0) 3.26 (b) How long will it take for the biomass to reach 4 x 10' kg? (Round your answer to two decimal places.) 1.54 yr Need Help? Watch It Talk to a Tutor Read It Master It
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