Chapter 4, Problem 51RE

(a)

To determine

To calculate: The maximum afternoon temperature for January by using the information given below:

The maximum afternoon temperature (in $°F$) in a given city can be modeled by

$t=60-30\cos \left(\frac{x\pi }{6}\right)$

where t represents the maximum afternoon temperature in month x, with $x=0$ representing January, $x=1$ representing February, and so on.

(b)

To determine

To calculate: The maximum afternoon temperature for April by using the information given below:

The maximum afternoon temperature (in $°F$) in a given city can be modeled by

$t=60-30\cos \left(\frac{x\pi }{6}\right)$

where t represents the maximum afternoon temperature in month x, with $x=0$ representing January, $x=1$ representing February, and so on.

(c)

To determine

To calculate: The maximum afternoon temperature for May by using the information given below:

The maximum afternoon temperature (in $°F$) in a given city can be modeled by

$t=60-30\cos \left(\frac{x\pi }{6}\right)$

where t represents the maximum afternoon temperature in month x, with $x=0$ representing January, $x=1$ representing February, and so on.

(d)

To determine

To calculate: The maximum afternoon temperature for June by using the information given below:

The maximum afternoon temperature (in $°F$) in a given city can be modeled by

$t=60-30\cos \left(\frac{x\pi }{6}\right)$

where t represents the maximum afternoon temperature in month x, with $x=0$ representing January, $x=1$ representing February, and so on.

(e)

To determine

To calculate: The maximum afternoon temperature for August by using the information given below:

The maximum afternoon temperature (in $°F$) in a given city can be modeled by

$t=60-30\cos \left(\frac{x\pi }{6}\right)$

where t represents the maximum afternoon temperature in month x, with $x=0$ representing January, $x=1$ representing February, and so on.

(f)

To determine

To calculate: The maximum afternoon temperature for October by using the information given below:

The maximum afternoon temperature (in $°F$) in a given city can be modeled by

$t=60-30\cos \left(\frac{x\pi }{6}\right)$

where t represents the maximum afternoon temperature in month x, with $x=0$ representing January, $x=1$ representing February, and so on.