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Problem The biomass B(t) (in kilograms) of a fishery at time t is modeled by the equation 4 x 108 B(t) : 2+ 4e-0.5t Determine lim B(t)

Problem The biomass B(t) (in kilograms) of a fishery at time t is modeled by the equation 4 x 108 B(t) : 2+ 4e-0.5t Determine lim B(t)

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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### Problem The biomass \( B(t) \) (in kilograms) of a fishery at time \( t \) is modeled by the equation \[ B(t) = \frac{4 \times 10^8}{2 + 4e^{-0.5t}} \] ### Determine \[ \lim_{{t \to \infty}} B(t) \] --- This problem involves finding the limit of a function describing the biomass of a fishery as time approaches infinity. The given function is: \[ B(t) = \frac{4 \times 10^8}{2 + 4e^{-0.5t}} \] To solve this problem, you need to evaluate the limit of \( B(t) \) as \( t \) approaches infinity. This concept is commonly used to determine the long-term behavior of dynamic systems modeled by exponential functions in contexts such as biology and ecology.
Transcribed Image Text:### Problem The biomass \( B(t) \) (in kilograms) of a fishery at time \( t \) is modeled by the equation \[ B(t) = \frac{4 \times 10^8}{2 + 4e^{-0.5t}} \] ### Determine \[ \lim_{{t \to \infty}} B(t) \] --- This problem involves finding the limit of a function describing the biomass of a fishery as time approaches infinity. The given function is: \[ B(t) = \frac{4 \times 10^8}{2 + 4e^{-0.5t}} \] To solve this problem, you need to evaluate the limit of \( B(t) \) as \( t \) approaches infinity. This concept is commonly used to determine the long-term behavior of dynamic systems modeled by exponential functions in contexts such as biology and ecology.
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