(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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
(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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,