💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
Like
Report
Get the answer to your homework problem.
Try Numerade Free for 7 Days
The biomass $ B(t) $ of a fish population is the total mass of the members of the population at time $ t. $ It is the product of the number of individuals $ N(t) $ in the population and the average mass $ M $ of a fish at time $ t. $ In the case of guppies, breeding occurs continually. Suppose that at time $ t = 4 $ weeks the population is 820 guppies and is growing at a rate of 50 guppies per week, while the average mass is 1.2 g and is increasing at a rate of 0.14 g/week. At what rate is the biomass increasing when $ t - 4? $
174.8 $\mathrm{g} /$ week
00:49
Frank L.
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 2
The Product and Quotient Rules
Derivatives
Differentiation
Baylor University
University of Michigan - Ann Arbor
University of Nottingham
Lectures
03:09
In mathematics, precalculu…
31:55
In mathematics, a function…
03:14
The biomass $B(t)$ of a fi…
01:06
Fish biomass The rate of g…
06:26
The rate of growth of a fi…
02:58
Limited Population Growth …
02:49
The Pacific halibut fisher…
07:49
Guppy Population $\mathrm{…
11:18
Logistic Growth Animal pop…
07:20
06:36
06:00
The logistic equation is s…
it's clear. So when you raid here, so you have a B. A. T is equal to enough tee times and of tea. When we write the product rule for the derivative, we get the derivative of on lefty terms. I'm a lefty. Less energy turns the derivative of love. T be plugged in for 40 Can we get 50 terms? 1.2 plus a 20 terms 0.14 and this is equal to one under 74.8 grams per week.
Numerade Educator
In mathematics, precalculus is the study of functions (as opposed to calculu…
In mathematics, a function (or map) f from a set X to a set Y is a rule whic…
The biomass $B(t)$ of a fish population is the total mass of the members of …
Fish biomass The rate of growth of a fish population was modeled by the equa…
The rate of growth of a fish population was modeled by the equation $$ G…
Limited Population Growth in a Lake. A lake is stocked with 640 fish of a ne…
The Pacific halibut fishery has been modeled by the differential equation
Guppy Population $\mathrm{A} 2000$ -gallon tank can support no more than 150…
Logistic Growth Animal populations are not capable of unrestricted growth be…
The logistic equation is sometimes written in the form $y^{\prime}(t)=r y(t)…
