Chapter 14.1, Problem 1E

In Example 2 we considered the function W = f(T, v), 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 889.

(a) What is the value of f(−15.40)? What is its meaning?

(b) Describe in words the meaning of the question “For what value of o is f(−20, v) = −30?” Then answer the question.

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

(d) What is the meaning of the function W = f(−5, v)? Describe the behavior of this function.

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

Table 1 Wind-chill index as a function of air temperature and wind speed