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# 6- the average depth of water at the end of a dock is 6 feet. This varies 2 feet in both directions with the

tide. Suppose there is a high tide at 4 AM. If the tide goes from low to high every 6 hours, what is the cosine function d(t) describing the depth of the water as a function of time with t=4 corresponding to 4 AM. At what two times within one cycle is the tide at a depth of 5 feet?

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fluctuation from mean = +/- 2 feet mean depth = 6 feet half time period = T/2 = 6 hours , T = 2*6 = 12 2 pi /T = 2... View the full answer

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