💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Fish biomass The rate of growth of a fish population was modeled by the equation $$G(t)=\frac{60,000 e^{-0.6 t}}{\left(1+5 e^{-0.6 t}\right)^{2}}$$ where $t$ is measured in years since 2000 and $G$ in kilograms per year. If the biomass was $25,000 \mathrm{kg}$ in the year $2000,$ what is the predicted biomass for the year 2020$?$

$25,000 \mathrm{kg}$

Calculus 1 / AB

Calculus 2 / BC

Chapter 5

Integrals

Section 4

The Substitution Rule

Integration Techniques

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

06:26

The rate of growth of a fi…

03:14

The biomass $B(t)$ of a fi…

01:17

The biomass $ B(t) $ of a …

02:49

The Pacific halibut fisher…

07:20

00:36

Use a graphing calculator …

04:59

Fish Population The popula…

00:26

00:45

For the following exercise…

05:57

04:36

06:00

The logistic equation is s…

02:18

00:39

04:05

Fish Population A small la…

04:29

If the initial population …

so for this question were given the GFT is equal to 120,000 e to the power of native of 0.60 and this is divided by one plus five e to the power of negative 0.60 square where t is measured in years since 2000. And Jean kill is the kilograms for a year if the biomass was 25,000 in the year 2000. So basically, we have to take the integral of this, uh, to get that this is equal to, uh, this is equal to 60,000 e to the power of one point for tea plus C then used the initial condition. But when TZ holds zero G is equal to 25,000 on, then we predict the master 20 twenties when we fired AT T is equal to 10

View More Answers From This Book

Find Another Textbook

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

The rate of growth of a fish population was modeled by the equation $$ G…

The biomass $B(t)$ of a fish population is the total mass of the members of …

The biomass $ B(t) $ of a fish population is the total mass of the members o…

The Pacific halibut fishery has been modeled by the differential equation

Use a graphing calculator and this scenario: the population of a fish farm i…

Fish Population The population of a certain species of fish has a relative g…

For the following exercises, use a graphing calculator and this scenario: th…

The logistic equation is sometimes written in the form $y^{\prime}(t)=r y(t)…

Fish Population A small lake is stocked with a certain species of fish. The …

If the initial population of fish is 70 million, use the differential equati…

00:42

Evaluate the indefinite integral.$\int \frac{d x}{5-3 x}$

05:37

Drug pharmacokinetics The plasma drug concentration of a new drug was modele…

00:47

Evaluate the indefinite integral.$\int \frac{(\ln x)^{2}}{x} d x$

00:38

Evaluate the integral.$\int_{1}^{8} \sqrt[3]{x} d x$

00:32

$$\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{\cos x_{i}}{x_{i}} \Delt…

00:21

Find the general indefinite integral.$\int \frac{\sin 2 x}{\sin x} d x$<…

00:25

Evaluate the integral by interpreting it in terms of areas.$$\int_{-1}^{…

00:37

Evaluate the indefinite integral.$\int x^{2}\left(x^{3}+5\right)^{9} d x…

00:41

Evaluate the integral using integration by parts with the indicated choices …

Evaluate the definite integral.$\int_{-\pi / 4}^{\pi / 4}\left(x^{3}+x^{…