Use the result of Exercise 80 to prove the following versions of Walliss Formulas. If n is
Question:
Use the result of Exercise 80 to prove the following versions of Wallis’s Formulas.
If n is odd (n ≥ 3), then
If n is even (n ≥ 2), then
Data from in Exercise 80
The table shows the normal maximum (high) and minimum (low) temperatures (in degrees Fahrenheit) in Erie, Pennsylvania, for each month of the year.
The maximum and minimum temperatures can be modeled by
where t = 0 corresponds to January 1 and a0, a1, and b₁ are as follows.
(a) Approximate the model H(t) for the maximum temperatures.
(b) Repeat part (a) for a model L(t) for the minimum temperature data.
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