10) The depth of water in a harbor varies with the tides. The depth is measured at the same location three times during a day in July. The readings are 26 feet at 7:00 A.M., 22 feet at 1 P.M., and 26 feet at 7:00 P.M. Assume the pattern continues indefinitely and behaves like a cosine wave. a) Write the function of the form h(t) = Acos(Bt - C) + D where h(t) is the height in feet t hours after 7:00 A.M. b) Sketch the graph of one period of the function, starting at t = 0 hours.
10) The depth of water in a harbor varies with the tides. The depth is measured at the same location three times during a day in July. The readings are 26 feet at 7:00 A.M., 22 feet at 1 P.M., and 26 feet at 7:00 P.M. Assume the pattern continues indefinitely and behaves like a cosine wave. a) Write the function of the form h(t) = Acos(Bt - C) + D where h(t) is the height in feet t hours after 7:00 A.M. b) Sketch the graph of one period of the function, starting at t = 0 hours.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
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