Chapter 14.1, Problem 1E

In Example 2 we considered the function $W=f\left(T,v\right)$, where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A numerical representation is given in Table 1 on page 929.

(a) What is the value of $f\left(-15,40\right)$? What is its meaning?

(b) Describe in words the meaning of the question “For what value of v is $f\left(-20,v\right)=-30$?” Then answer the question.

(c) Describe in words the meaning of the question “For what value of T is $f\left(T,20\right)=-49$?” Then answer the question.

(d) What is the meaning of the function $W=f\left(-5,v\right)$? Describe the behavior of this function.

(e) What is the meaning of the function $W=f\left(T,50\right)$? Describe the behavior of this function.