The rate of growth of a fish population was modeled by the equation 90,000e-0.6t (1 + 5e−0.6t)², where t is measured in years since 2000 and G in kilograms per year. Write an integral to find the change in the population predicted between 2000 and 2020. 90,000e-0.6t 20 +5e-0.6t 10 G(t) = -30000 -0.6t) 2 dt 1 Find a substitution and apply it to rewrite the integrand in the form u² -12 1 + 5e · ) ( ( ) du du. If the biomass was 15,000 kg in the year 2000, what is the predicted biomass (in kg) for the year 2020? (Round your answer to the nearest whole number.) X kg
The rate of growth of a fish population was modeled by the equation 90,000e-0.6t (1 + 5e−0.6t)², where t is measured in years since 2000 and G in kilograms per year. Write an integral to find the change in the population predicted between 2000 and 2020. 90,000e-0.6t 20 +5e-0.6t 10 G(t) = -30000 -0.6t) 2 dt 1 Find a substitution and apply it to rewrite the integrand in the form u² -12 1 + 5e · ) ( ( ) du du. If the biomass was 15,000 kg in the year 2000, what is the predicted biomass (in kg) for the year 2020? (Round your answer to the nearest whole number.) X kg
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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