Chapter 4.4, Problem 46E

To determine

(a)

To find:

The concentration of pollutants 0.5 mile downstream where the concentration of pollutants (in grams per liter) is given as the function $P\left(x\right)=0.04e^{-4x},$ $x$ is the number of miles downstream.

To determine

(b)

To find:

The concentration of pollutants 1 mile downstream where the concentration of pollutants (in grams per liter) is given as the function $P\left(x\right)=0.04e^{-4x},$ $x$ is the number of miles downstream.

To determine

(c)

To find:

The concentration of pollutants 2 miles downstream where the concentration of pollutants (in grams per liter) is given as the function $P\left(x\right)=0.04e^{-4x},$ $x$ is the number of miles downstream.

To determine

(d)

To find:

The rate of change of concentration with respect to distance for the distance of 0.5 mile

To determine

(e)

To find:

The rate of change of concentration with respect to distance for the distance of 1 mile

To determine

(f)

To find:

The rate of change of concentration with respect to distance for the distance of 2 miles