6. The depth of the water at the end of the Cocoa Beach Pier varies with...

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6. The depth of the water at the end of the Cocoa Beach Pier varies with the tide on any given day. Suppose the high tide occurs at 5:00 a.m. and the depth of the water is 15.0 feet) then low tide occurs at 11:30 a.m. with a depth of 9.0 feet. a. Sketch a graph showing how the depth of the water depends on the time since midnight, t=0. 164h() 15+ 14+ 13 12 11 10 9 8 7 3 1 2 4 6 8 10 12 14 -1 + b. What is the midline of the graph? 16 18 20 22 c. Find the amplitude and period of the tide. d. What is the depth of the water at noon? 24 e. If a large party boat needs at least 12 feet of water to navigate past the pier, find the interval of time that the boat can safely pass by the end of the pier. 6. The depth of the water at the end of the Cocoa Beach Pier varies with the tide on any given day. Suppose the high tide occurs at 5:00 a.m. and the depth of the water is 15.0 feet) then low tide occurs at 11:30 a.m. with a depth of 9.0 feet. a. Sketch a graph showing how the depth of the water depends on the time since midnight, t=0. 164h() 15+ 14+ 13 12 11 10 9 8 7 3 1 2 4 6 8 10 12 14 -1 + b. What is the midline of the graph? 16 18 20 22 c. Find the amplitude and period of the tide. d. What is the depth of the water at noon? 24 e. If a large party boat needs at least 12 feet of water to navigate past the pier, find the interval of time that the boat can safely pass by the end of the pier.