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Answer to Question #37406 in Calculus for Sampson Paul

Question #37406
Given y=Acos(Bx+C) + D. Throughout the day the depth of water at the end of a pier varies with the tides. High tide occurs at 4 am with a depth of 6 meters. Low tide occurs at 10 am with a depth of 2 meters. Model the problem by using the given trigonometric equation to show the depth of the water t hours after midnight showing all your work. Solve the problem by finding the depth of the water at noon, explaining, the reasoning.
#. A large boat needs at least 4 meters of water to secure it at the end of the pier. (a) determine what span of time after neen, including both a starting and ending time, the boat can first safely be secured, justying your answer.
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