Chapter 4, Problem 53RE

(a)

To determine

To calculate: The pollution levels on January 1, base year by using the information given below:

The pollution level in a certain area might be given by the function

$y=7\left(1-\cos 2\pi x\right)\left(x+10\right)+100e^{0.2x}$

where x is the time in years, with $x=0$ representing January 1 of the base year. July 1 of the same year would be represented by $x=0.5$, October 1 of the following year would be represented by $x=1.75$, and so on.

(b)

To determine

To calculate: The pollution levels on July 1, base year by using the information given below:

The pollution level in a certain area might be given by the function

$y=7\left(1-\cos 2\pi x\right)\left(x+10\right)+100e^{0.2x}$

where x is the time in years, with $x=0$ representing January 1 of the base year. July 1 of the same year would be represented by $x=0.5$, October 1 of the following year would be represented by $x=1.75$, and so on.

(c)

To determine

To calculate: The pollution levels on January 1, following year by using the information given below:

The pollution level in a certain area might be given by the function

$y=7\left(1-\cos 2\pi x\right)\left(x+10\right)+100e^{0.2x}$

where x is the time in years, with $x=0$ representing January 1 of the base year. July 1 of the same year would be represented by $x=0.5$, October 1 of the following year would be represented by $x=1.75$, and so on.

(d)

To determine

To calculate: The pollution levels on July 1, following year by using the information given below:

The pollution level in a certain area might be given by the function

$y=7\left(1-\cos 2\pi x\right)\left(x+10\right)+100e^{0.2x}$

where x is the time in years, with $x=0$ representing January 1 of the base year. July 1 of the same year would be represented by $x=0.5$, October 1 of the following year would be represented by $x=1.75$, and so on.