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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to com The Pacific halibut fishery has been modeled by the differențial equation dy %3D 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 = 8 x 10' kg, and k = Exercise (a) If y(0) = 2 x 10 kg, find the biomass a year later. Step 1 1 + Ae-kt With A = M- y(0) y(0) dy The solution to the differential equation dt has the form y(t) = %3D We have been told the carrying capacity is M = 8 x 107 kg and that k = 0.82. Since y(0) = 2 x 10' kg, then we have the following.

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to com The Pacific halibut fishery has been modeled by the differențial equation dy %3D 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 = 8 x 10' kg, and k = Exercise (a) If y(0) = 2 x 10 kg, find the biomass a year later. Step 1 1 + Ae-kt With A = M- y(0) y(0) dy The solution to the differential equation dt has the form y(t) = %3D We have been told the carrying capacity is M = 8 x 107 kg and that k = 0.82. Since y(0) = 2 x 10' kg, then we have the following.

Calculus: Early Transcendentals
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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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back The Pacific halibut fishery has been modeled by the differential equation dy 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 = 8 x 10 kg, and k = 0.82 pe Exercise (a) If y(0) = 2 x 10 kg, find the biomass a year later. Step 1 dy The solution to the differential equation dt 1 + Ae-kt with A = M - y(O) y(0) M has the form y(t) = We have been told the carrying capacity is M = 8 x 107 kg and that k = 0.82. Since y(0) = 2 x 10' kg, then we have the following. A = Submit Skip (you cannot come back) Exercise (b) If y(0) = 2 x 10 kg, how long will it take for the biomass to reach 4 x 10' kg?
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back The Pacific halibut fishery has been modeled by the differential equation dy 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 = 8 x 10 kg, and k = 0.82 pe Exercise (a) If y(0) = 2 x 10 kg, find the biomass a year later. Step 1 dy The solution to the differential equation dt 1 + Ae-kt with A = M - y(O) y(0) M has the form y(t) = We have been told the carrying capacity is M = 8 x 107 kg and that k = 0.82. Since y(0) = 2 x 10' kg, then we have the following. A = Submit Skip (you cannot come back) Exercise (b) If y(0) = 2 x 10 kg, how long will it take for the biomass to reach 4 x 10' kg?
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