Exercises 11–17 involve the notion of windchill temperature— see Example 7 in §...

Exercises 11–17 involve the notion of windchill temperature— see Example 7 in § 2.1, and refer to the table of windchill values on page 85

In this problem you will compare graphically the two windchill formulas given in Exercises 15 and 16.

(a) If W₁(s, t) denotes the windchill function given by the Siple formula in Exercise 15 and W₂(s, t) the windchill function given by the National Weather Service formula in Exercise 16, graph the curves y = W1(s, 40) and y = W₂(s, 40) on the same set of axes. (Let s vary between 3 and 120 mph.) In addition, graph other pairs of curves y = W₁(s, t₀), y = W₂(s, t₀) for other values of t0. Discuss what your results tell you about the two windchill formulas.

(b) Now graph pairs of curves y = W₁(s₀, t), y = W₂(s₀, t) for various constant values s0 for wind-speed. Discuss your results.

(c) Finally, graph the surfaces z = W₁(s, t) and z = W₂(s, t) and comment.