Hours of Daylight The numbers of hours H of daylight in Denver, Colorado, on the 15th of each month starting with January are: 9.68, 10.72, 11.92, 13.25, 14.35, 14.97, 14.72, 13.73, 12.47, 11.18, 10.00, and 9.37. A model for the data is
where t represents the month, with
(a) Use a graphing utility to graph the data and the model in the same viewing window.
(b) What is the period of the model? Is it what you expected? Explain.
(c) What is the amplitude of the model? What does it represent in the context of the problem?
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- Meteorology The times S of sunset (Greenwich Mean Time) at 40 north latitude on the 15th of each month starting with January are :16:59,17:35,18:06,18:38,19:08,19:30,19:28,18:57,18:10,17:21,16:44,and16:36. A model (in which minutes have been converted to the decimal parts of an hour) for the data is St=18.101.41sint6+1.55 where t represents the month, with t=1 corresponding to January. (a) Use a graphing utility to graph the data and the model in the same viewing window. (b) What is the period of the model? Is it what you expected? Explain. (c) What is the amplitude of the model? What does it represent in the context of the problem?arrow_forwardTotal Internal Reflection When light passes from a more dense to a less dense medium-from glass to air, for example-the angle of refraction predicted by Snells Law see exercise 57 can be 90 or large. In this case the light beam is actually reflected Bach into the denser medium. This phenomenon, called total internal reflection, is the principal behind optics. Set 2=90 in Snells Law, and solve for 1 to determine the critical angle of incidence at which total internal reflection begins to occur when light passes from glass to air. Note that the index of refraction from glass to air is reciprocal of the index from air to glass.arrow_forward
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