A consultant has issued an environmental report on the cost of cleaning up a property that was previously the site of a chemical factory. Costs can increase dramatically depending on the percent of pollutants that needs to be removed. Her report gives the cost, C, in dollars, of removing p% of the 50000 pollutants from the site as C(p)=- 100 – P a) State the domain of the function. b) Determine the rate of change in the cost of cleaning up 95% of the pollutants on the property. c) Would it be affordable to clean up all of the pollutants? Explain.

A consultant has issued an environmental report on the cost of cleaning up a property that was previously the site of a chemical factory. Costs can increase dramatically depending on the percent of pollutants that needs to be removed. Her report gives the cost, C, in dollars, of removing p% of the 50000 pollutants from the site as C(p)=- 100 – P a) State the domain of the function. b) Determine the rate of change in the cost of cleaning up 95% of the pollutants on the property. c) Would it be affordable to clean up all of the pollutants? Explain.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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

A consultant has issued an environmental report on the cost of cleaning up a property that was
previously the site of a chemical factory. Costs can increase dramatically depending on the percent of
pollutants that needs to be removed. Her report gives the cost, C, in dollars, of removing p% of the
50000
pollutants from the site as C(p)=
100 – p
State the domain of the function.
a)
b)
c)
Determine the rate of change in the cost of cleaning up 95% of the pollutants on the property.
Would it be affordable to clean up all of the pollutants? Explain.

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