When they invest K dollars, a fishery can produce Q(K) pounds of fish per month, whereQ(K) = 109 K!/3.In t months from now, their total investment will beK(t)=0.5t2+300 t +515dollars.At what rate is the production of fish changing with respect to time 5 months from now?In 5 months from now, the fisher's production will be increasingat a rate ofpounds per month

Given Data: Production of pounds of fish per month is: QK=109K13 ......1 Total investment is:…

Answered: At what rate is the production of fish…

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Calculus

At what rate is the production of fish changing with respect to time 5 months from now?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

When they invest K dollars, a fishery can produce Q(K) pounds of fish per month, where
Q(K) = 109 K!/3.
In t months from now, their total investment will be
K(t)=0.5t2+300 t +515
dollars.
At what rate is the production of fish changing with respect to time 5 months from now?
In 5 months from now, the fisher's production will be increasing
at a rate of
pounds per month

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