(5) A halibut fishery has been modelled by the function B(t)= 5 x 107 1+3e-0.8t where B represents the biomass (the total mass of the population) in kilograms at time t in years. (a) What is the biomass at time t = 0? (b) How long will it take for the biomass to reach 4 x 107 kg? (c) How quickly is the biomass changing after 2 years? (d) Graph the function B(t) for t= -5 to t = 15

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(5) A halibut fishery has been modelled by the function
5 x 107
1+ 3e-0.8t
B(t) =
where B represents the biomass (the total mass of the population) in kilograms at time t
in years.
(a) What is the biomass at time t = 0?
(b) How long will it take for the biomass to reach 4 x 107 kg?
(c) How quickly is the biomass changing after 2 years?
(d) Graph the function B(t) for t= -5 to t = 15
Transcribed Image Text:(5) A halibut fishery has been modelled by the function 5 x 107 1+ 3e-0.8t B(t) = where B represents the biomass (the total mass of the population) in kilograms at time t in years. (a) What is the biomass at time t = 0? (b) How long will it take for the biomass to reach 4 x 107 kg? (c) How quickly is the biomass changing after 2 years? (d) Graph the function B(t) for t= -5 to t = 15
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