Suppose that you are on the beach on December 25th and notice high tide occurs at 1:00 pm with a depth of 1.6 meters. You then return at 8:00 in the evening and notice it is low tide at 0.2 meters. Find the cosine function that represents the depth as a function of time in hours that have elapsed since 12:00 midnight at the beginning of December 25th. Assume that the depth varies sinusoidally with time. Draw the graph to represent this situation. Remember, t=0 represents midnight. Clear All Draw: Determine the following characteristics of the sinusoidal function: Amplitude Period Hours Sinusoidal axis: y Write the cosine function that models the following problem. Use exact values.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose that you are on the beach on December 25th and notice high tide occurs at 1:00 pm with a depth of 1.6 meters. You then return at 8:00 in the evening and notice it is low tide at 0.2 meters. Find the cosine function that represents the depth as a function of time in hours that have elapsed since 12:00 midnight at the beginning of December 25th. Assume that the depth varies sinusoidally with time. Draw the graph to represent this situation. Remember, t=0 represents midnight. Clear All Draw: Determine the following characteristics of the sinusoidal function: Amplitude Period Hours Sinusoidal axis: y Write the cosine function that models the following problem. Use exact values.

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