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…

Math

Calculus

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

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.5: Solve Exponential And Logarithmic Equations

Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this...

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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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