Chapter 12.1, Problem 53E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Wind chill** When the air temperature is

*w* is wind speed in miles per hour.

(a) Will both the rate of change of wind chill temperature and wind chill temperature decrease as the windspeed increases? Explain.

(b) If the wind chill temperature is

**a)**

To determine

Whether both the wind chill temperature and rate of change of wind chill temperature decreases if there is a decrease in wind speed and the rate of change of the wind chill temperature

Explanation

**Given Information:**

Rate of change of the wind chill temperature

**Explanation:**

Consider the provided data,

Rate of change of the wind chill temperature

As, *w* is the wind speed in miles per hour therefore

And if

Then,

So,

This means that there is an inverse relation between the wind chill temperature and speed of wind

As the wind speed decreases the wind chill temperature will increase

**b)**

To determine

**To calculate:** The function modelling the wind chill temperature if the wind speed is 31 mph, the wind chill temperature is

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