Hours of daylight The number of daylight hours D at a particular location varies with both the month and the lati-tude. The table lists the number of daylight hours on the first day of each month at 60°N latitude.
Month | D | Month | D | Month | D |
Jan. | 6.03 | May | 15.97 | Sept. | 14.18 |
Feb. | 7.97 | June | 18.28 | Oct. | 11.50 |
March | 10.43 | July | 18.72 | Nov. | 8.73 |
April | 13.27 | Aug. | 16.88 | Dec. | 5.88 |
(a) Let t be time in months, with t = 1 corresponding to January, t = 2 to February, …, t = 12 to December, t = 13 to January, and so on. Plot the data for a two-year period.
(b) Find a function D(t) = a sin (bt + c) + d that approx-imates the number of daylight hours. Graph the function D with the data.
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