The Pacific halibut fishery has been modeled by the differential equation dy/dt = ky(1 - y/M) Where
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dy/dt = ky(1 - y/M)
Where y(t) is the biomass (the total mass of the members of the population) in kilograms at time (measured in years), the carrying capacity is estimated to be M = 8 x 107, and k = 0.71 per year.
(a) If y(0) = 2 x 107 kg, find the biomass a year later.
(b) How long will it take for the biomass to reach 4 x 107 kg?
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a dy dt kt 1 yM yt M1 Ae kt with A M y0y0 With M 8 10 7 ...View the full answer
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