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Calculus with Applications | 10th Edition | ISBN: 9780321749000 | Authors: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
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Pollution Concentration The concentration of pollutants

Chapter 4, Problem 48A

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QUESTION:

Problem 48A

Pollution Concentration The concentration of pollutants (in grams per liter) in the east fork of the Big Weasel River is approximated by

P(x) = 0.04e−4x,

where x is the number of miles downstream from a paper mill that the measurement is taken. Find the following values.

a. The concentration of pollutants 0.5 mile downstream

b. The concentration of pollutants 1 mile downstream

c. The concentration of pollutants 2 miles downstream

Find the rate of change of concentration with respect to distance for the following distances.

d. 0.5 mile

e. 1 mile

f. 2 miles

Questions & Answers

QUESTION:

Problem 48A

Pollution Concentration The concentration of pollutants (in grams per liter) in the east fork of the Big Weasel River is approximated by

P(x) = 0.04e−4x,

where x is the number of miles downstream from a paper mill that the measurement is taken. Find the following values.

a. The concentration of pollutants 0.5 mile downstream

b. The concentration of pollutants 1 mile downstream

c. The concentration of pollutants 2 miles downstream

Find the rate of change of concentration with respect to distance for the following distances.

d. 0.5 mile

e. 1 mile

f. 2 miles

ANSWER:

Solution:

Step 1 of 8:

In this problem, we need to find the concentration of pollutants in downstream.

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