During a year, the length of a day, from sunrise to sunset, in Taloga, Oklahoma, varies from

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During a year, the length of a day, from sunrise to sunset, in Taloga, Oklahoma, varies from a shortest day of approximately 9.6 hours to a longest day of approximately 14.4 hours, while in Montreal, the day lengths vary from 8.3 hours to 15.7 hours. For each location, determine a function L(t) = 12 + A sin(2π/365t) that approximates the length of a day, in hours, where t represents the day in the year assuming t = 0 is the spring equinox on March 21. Compare the day lengths in each location on April 15, July 30, and November 15.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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