During a year, the length of a day, from sunrise to sunset, in Wolf Point, Montana, varies

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During a year, the length of a day, from sunrise to sunset, in Wolf Point, Montana, varies from a shortest day of approximately 8.1 hours to a longest day of approximately 15.9 hours, while in Mexico City, the day lengths vary from 10.7 hours to 13.3 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 1, July 15, and November 1.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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